Scholars@Duke
Robert L. Wolpert

Robert L. Wolpert

Professor Emeritus of Statistical Science
Statistical Science
rlw@duke.edu
Box 90251, Durham, NC 27708-0251
214 Old Chemistry, Durham, NC 27708-0251
Office hours By appointment.  Send an e-mail to find a convenient time for both of us.  

Selected Publications

Markov Infinitely-Divisible Stationary Time-Reversible Integer-Valued Processes

Journal Article Sankhya A · November 1, 2024 We prove a complete class theorem that characterizes all stationary time reversible Markov processes whose finite dimensional marginal distributions (of all orders) are infinitely divisible. Aside from two degenerate cases (iid and constant), in both discr ... Full text Cite

Hard jet substructure in a multistage approach

Journal Article Physical Review C · October 1, 2024 We present predictions and postdictions for a wide variety of hard jet-substructure observables using a multistage model within the jetscape framework. The details of the multistage model and the various parameter choices are described in [Phys. Rev. C 107 ... Full text Cite

Topographic Controls on Pyroclastic Density Current Hazard at Aluto Volcano (Ethiopia) Identified Using a Novel Zero-Censored Gaussian Process Emulator

Journal Article Journal of Geophysical Research Solid Earth · May 1, 2024 Aluto volcano (Central Ethiopia) displays a complex, hybrid topography, combining elements typical of caldera systems (e.g., a central, flat caldera floor) and stratovolcanoes (e.g., relatively high and steep, radial flanks, related to eruptions occurring ... Full text Cite

Bayesian inference: more than Bayes’s theorem

Journal Article Frontiers in Astronomy and Space Sciences · January 1, 2024 Bayesian inference gets its name from Bayes’s theorem, expressing posterior probabilities for hypotheses about a data generating process as the (normalized) product of prior probabilities and a likelihood function. But Bayesian inference uses all of probab ... Full text Cite

The Zero Problem: Gaussian Process Emulators for Range-Constrained Computer Models

Journal Article SIAM Asa Journal on Uncertainty Quantification · June 1, 2023 We introduce a zero-censored Gaussian process as a systematic, model-based approach to building Gaussian process emulators for range-constrained simulator output. This approach avoids many pitfalls associated with modeling range-constrained data with Gauss ... Full text Cite

Multiscale evolution of charmed particles in a nuclear medium

Journal Article Physical Review C · May 1, 2023 Parton energy-momentum exchange with the quark gluon plasma (QGP) is a multiscale problem. In this work, we calculate the interaction of charm quarks with the QGP within the higher twist formalism at high virtuality and high energy using the Modular All Tw ... Full text Cite

Inclusive jet and hadron suppression in a multistage approach

Journal Article Physical Review C · March 1, 2023 We present a new study of jet interactions in the quark-gluon plasma created in high-energy heavy-ion collisions, using a multistage event generator within the jetscape framework. We focus on medium-induced modifications in the rate of inclusive jets and h ... Full text Cite

Role of bulk viscosity in deuteron production in ultrarelativistic nuclear collisions

Journal Article Physical Review C · December 1, 2022 We use a Bayesian-calibrated multistage viscous hydrodynamic model to explore deuteron yield, mean transverse momentum and flow observables in Pb-Pb collisions at the Large Hadron Collider. We explore theoretical uncertainty in the production of deuterons, ... Full text Cite

IMPROVING EXOPLANET DETECTION POWER: MULTIVARIATE GAUSSIAN PROCESS MODELS FOR STELLAR ACTIVITY

Journal Article Annals of Applied Statistics · June 1, 2022 The radial velocity method is one of the most successful techniques for detecting exoplanets. It works by detecting the velocity of a host star, induced by the gravitational effect of an orbiting planet, specifically, the velocity along our line of sight w ... Full text Cite

Determining the jet transport coefficient q from inclusive hadron suppression measurements using Bayesian parameter estimation

Journal Article Physical Review C · August 1, 2021 We report a new determination of q, the jet transport coefficient of the quark-gluon plasma. We use the JETSCAPE framework, which incorporates a novel multistage theoretical approach to in-medium jet evolution and Bayesian inference for parameter extractio ... Full text Cite

Approximate Bayesian computation for finite mixture models

Journal Article Journal of Statistical Computation and Simulation · January 1, 2021 Finite mixture models are used in statistics and other disciplines, but inference for mixture models is challenging due, in part, to the multimodality of the likelihood function and the so-called label switching problem. We propose extensions of the Approx ... Full text Cite

JETSCAPE Collaboration

Journal Article Nuclear Physics A · January 1, 2021 Full text Cite

Volcanic Hazard Assessment for an Eruption Hiatus, or Post-eruption Unrest Context: Modeling Continued Dome Collapse Hazards for Soufrière Hills Volcano

Journal Article Frontiers in Earth Science · December 16, 2020 Effective volcanic hazard management in regions where populations live in close proximity to persistent volcanic activity involves understanding the dynamic nature of hazards, and associated risk. Emphasis until now has been placed on identification and fo ... Full text Cite

JETSCAPE framework: P+p results

Journal Article Physical Review C · November 10, 2020 The JETSCAPE framework is a modular and versatile Monte Carlo software package for the simulation of high energy nuclear collisions. In this work we present a new tune of JETSCAPE, called PP19, and validate it by comparison to jet-based measurements in p+p ... Full text Cite

Multi-system Bayesian constraints on the transport coefficients of QCD matter

Journal Article · November 6, 2020 We study the properties of the strongly-coupled quark-gluon plasma with a multistage model of heavy ion collisions that combines the T$_\mathrm{R}$ENTo initial condition ansatz, free-streaming, viscous relativistic hydrodynamics, and a relativistic hadroni ... Link to item Cite

Phenomenological constraints on the transport properties of QCD matter with data-driven model averaging

Journal Article · October 8, 2020 Using combined data from the Relativistic Heavy Ion and Large Hadron Colliders, we constrain the shear and bulk viscosities of quark-gluon plasma (QGP) at temperatures of ${\sim\,}150{-}350$ MeV. We use Bayesian inference to translate experimental and theo ... Link to item Cite

Dynamic statistical models for pyroclastic density current generation at soufrière hills volcano

Journal Article Frontiers in Earth Science · May 23, 2018 To mitigate volcanic hazards from pyroclastic density currents, volcanologists generate hazard maps that provide long-termforecasts of areas of potential impact. Several recent efforts in the field develop new statistical methods for application of flow mo ... Full text Cite

Redefine statistical significance.

Journal Article Nature human behaviour · January 2018 Full text Open Access Cite

Coupling computer models through linking their statistical emulators

Journal Article SIAM Asa Journal on Uncertainty Quantification · January 1, 2018 Direct coupling of computer models is often difficult for computational and logistical reasons. We propose coupling computer models by linking independently developed Gaussian process emulators (GaSPs) of these models. Linked emulators are developed that a ... Full text Cite

Multistage Monte Carlo simulation of jet modification in a static medium

Journal Article Physical Review C · August 22, 2017 The modification of hard jets in an extended static medium held at a fixed temperature is studied using three different Monte Carlo event generators: linear Boltzmann transport (LBT), modular all twist transverse-scattering elastic-drag and radiation (MATT ... Full text Cite

Stationary Gaussian Markov processes as limits of stationary autoregressive time series

Journal Article Journal of Multivariate Analysis · March 1, 2017 We consider the class, Cp, of all zero mean stationary Gaussian processes, {Yt:t∈(−∞,∞)} with p derivatives, for which the vector valued process {(Yt(0),…,Yt(p)):t≥0} is a p+1-vector Markov ... Full text Cite

Geometric Representations of Random Hypergraphs

Journal Article Journal of the American Statistical Association · January 2, 2017 We introduce a novel parameterization of distributions on hypergraphs based on the geometry of points in Rd. The idea is to induce distributions on hypergraphs by placing priors on point configurations via spatial processes. This specification i ... Full text Cite

The longevity of lava dome eruptions

Journal Article Journal of Geophysical Research Solid Earth · February 1, 2016 Understanding the duration of past, ongoing, and future volcanic eruptions is an important scientific goal and a key societal need. We present a new methodology for forecasting the duration of ongoing and future lava dome eruptions based on a database (Dom ... Full text Cite

Quantifying properties of hot and dense QCD matter through systematic model-to-data comparison

Journal Article Physical Review C Nuclear Physics · May 22, 2015 We systematically compare an event-by-event heavy-ion collision model to data from the CERN Large Hadron Collider. Using a general Bayesian method, we probe multiple model parameters including fundamental quark-gluon plasma properties such as the specific ... Full text Cite

Probabilistic quantification of hazards: A methodology using small ensembles of physics-based simulations and statistical surrogates

Journal Article International Journal for Uncertainty Quantification · January 1, 2015 This paper presents a novel approach to assessing the hazard threat to a locale due to a large volcanic avalanche. The methodology combines: (i) mathematical modeling of volcanic mass flows; (ii) field data of avalanche frequency, volume, and runout; (iii) ... Full text Cite

A physics-based emulator for the simulation of geophysical mass flows

Journal Article SIAM Asa Journal on Uncertainty Quantification · January 1, 2015 Rare natural hazards such as large volcanic eruptions can cause loss of life and damage to property. With sufficient information, those charged with public safety may issue warnings of impending hazards to mitigate the hazard impact. Recent developments in ... Full text Cite

Priors on Hypergraphical Models via Simplicial Complexes

Chapter · January 1, 2015 It is common to model the joint probability distribution of a family of n random variables {X1, . . . , Xn} in two stages: First to specify the conditional dependence structure of the distribution, then to specify details of the conditional distributions o ... Full text Cite

Dissecting galaxy formation models with sensitivity analysis - A new approach to constrain the milky way formation history

Journal Article Astrophysical Journal · May 20, 2014 We present an application of a statistical tool known as sensitivity analysis to characterize the relationship between input parameters and observational predictions of semi-analytic models of galaxy formation coupled to cosmological N-body simulations. We ... Full text Cite

Determining fundamental properties of matter created in ultrarelativistic heavy-ion collisions

Journal Article Physical Review C Nuclear Physics · March 31, 2014 Posterior distributions for physical parameters describing relativistic heavy-ion collisions, such as the viscosity of the quark-gluon plasma, are extracted through a comparison of hydrodynamic-based transport models to experimental results from 100AGeV+10 ... Full text Cite

Automating emulator construction for geophysical hazard maps

Journal Article SIAM Asa Journal on Uncertainty Quantification · January 1, 2014 This paper describes an efficient and systematic process for using geophysical computer model simulations to guide efforts in probabilistic hazard mapping. The framework being proposed requires the simultaneous construction of many (102–104 ... Full text Cite

Quantifying initial state fluctuations in heavy ion collisions

Journal Article Acta Physica Polonica B Proceedings Supplement · October 21, 2013 Quantum fluctuations induce interesting structures in the initial state profiles for hydrodynamic calculations of the hot and dense quark-gluon plasma phase of heavy ion collisions. Especially, after the discovery of non-zero odd higher flow coefficients, ... Full text Cite

Classification of initial state granularity via 2D Fourier expansion

Journal Article Journal of Physics G Nuclear and Particle Physics · September 1, 2013 A new method for quantifying fluctuations in the initial state of heavy ion collisions is presented. The initial state energy distribution is decomposed with a set of orthogonal basis functions which include both angular and radial variation. The resulting ... Full text Cite

A template for describing intrinsic GRB pulse shapes

Journal Article eConf C1304143 · August 27, 2013 A preliminary study of a set of well-isolated pulses in GRB light curves indicates that simple pulse models, with smooth and monotonic pulse rise and decay regions, are inadequate. Examining the residuals of fits of pulses to such models suggests the follo ... Link to item Cite

Characterizing the formation history of milky way like stellar halos with model emulators

Journal Article Astrophysical Journal · December 1, 2012 We use the semi-analytic model ChemTreeN, coupled to cosmological N-body simulations, to explore how different galaxy formation histories can affect observational properties of Milky Way like galaxies' stellar halos and their satellite populations. Gaussia ... Full text Cite

α-Stable limit laws for harmonic mean estimators of marginal likelihoods

Journal Article Statistica Sinica · July 1, 2012 The task of calculating marginal likelihoods arises in a wide array of statistical inference problems, including the evaluation of Bayes factors for model selection and hypothesis testing. Although Markov chain Monte Carlo methods have simplified many post ... Full text Cite

Constraining the initial state granularity with bulk observables in Au+Au collisions at √sNN=200 GeV

Journal Article Journal of Physics G Nuclear and Particle Physics · April 1, 2011 In this paper we conduct a systematic study of the granularity of the initial state of hot and dense QCD matter produced in ultra-relativistic heavy-ion collisions and its influence on bulk observables like particle yields, mT spectra and ellipt ... Full text Cite

Stochastic expansions using continuous dictionaries: Lévy adaptive regression kernels

Journal Article Annals of Statistics · 2011 This article describes a new class of prior distributions for nonparametric function estimation. The unknown function is modeled as a limit of weighted sums of kernels or generator functions indexed by continuous parameters that control local and global fe ... Full text Open Access Cite

Bayesian nonparametric models for peak identification in MALDI-TOF mass spectroscopy

Journal Article The Annals of Applied Statistics · 2011 We present a novel nonparametric Bayesian approach based on Lévy Adaptive Regression Kernels (LARK) to model spectral data arising from MALDI-TOF (Matrix Assisted Laser Desorption Ionization Time-of-Flight) mass spectrometry. This model-based approach prov ... Full text Open Access Link to item Cite

Perfect simulation and moment properties for the Matérn type III process

Journal Article Stochastic Processes and their Applications · November 1, 2010 In a seminal work, Bertil Matérn introduced several types of processes for modeling repulsive point processes. In this paper an algorithm is presented for the perfect simulation of the Matrén III process within a bounded window in ℝd, fully acco ... Full text Cite

Spatial inference of nitrate concentrations in groundwater

Journal Article Journal of Agricultural Biological and Environmental Statistics · June 1, 2010 We develop a method for multiscale estimation of pollutant concentrations, based on a nonparametric spatial statistical model. We apply this method to estimate nitrate concentrations in groundwater over the mid-Atlantic states, using measurements gathered ... Full text Cite

On the supremum of certain families of stochastic processes

Journal Article Statistics and Probability Letters · June 1, 2010 We consider a family of stochastic processes {Xtε ∈ T} on a metric space T, with a parameter 0. We study the conditions under which. When one has an a priori estimate on the modulus of continuity and the value at one point. We compare our problem to the ce ... Full text Cite

Likelihood-Based inference for matérn type-III repulsive point processes

Journal Article Advances in Applied Probability · December 1, 2009 In a repulsive point process, points act as if they are repelling one another, leading to underdispersed configurations when compared to a standard Poisson point process. Such models are useful when competition for resources exists, as in the locations of ... Full text Cite

Using statistical and computer models to quantify volcanic hazards

Journal Article Technometrics · November 1, 2009 Risk assessment of rare natural hazards, such as large volcanic block and ash or pyroclastic flows, is addressed. Assessment is approached through a combination of computer modeling, statistical modeling, and extreme-event probability computation. A comput ... Full text Cite

Calibrating and validating bacterial water quality models: a Bayesian approach.

Journal Article Water research · June 2009 Water resource management decisions often depend on mechanistic or empirical models to predict water quality conditions under future pollutant loading scenarios. These decisions, such as whether or not to restrict public access to a water resource area, ma ... Full text Cite

Modeling the relationship between most probable number (MPN) and colony-forming unit (CFU) estimates of fecal coliform concentration.

Journal Article Water research · July 2008 Most probable number (MPN) and colony-forming-unit (CFU) estimates of fecal coliform bacteria concentration are common measures of water quality in coastal shellfish harvesting and recreational waters. Estimating procedures for MPN and CFU have intrinsic v ... Full text Cite

An assessment of fecal indicator bacteria-based water quality standards.

Journal Article Environmental science & technology · July 2008 Fecal indicator bacteria (FIB) are commonly used to assess the threat of pathogen contamination in coastal and inland waters. Unlike most measures of pollutant levels however, FIB concentration metrics, such as most probable number (MPN) and colony-forming ... Full text Cite

Comment

Journal Article Journal of the American Statistical Association · September 1, 2007 Full text Cite

Characterizing the function space for bayesian kernel models

Journal Article Journal of Machine Learning Research · August 1, 2007 Kernel methods have been very popular in the machine learning literature in the last ten years, mainly in the context of Tikhonov regularization algorithms. In this paper we study a coherent Bayesian kernel model based on an integral operator defined as th ... Cite

Nonparametric Function Estimation using Overcomplete Dictionaries (with Discussion)

Chapter · 2007 We consider the nonparametric regression problem of estimating an unknown function based on noisy data. One approach to this estimation problem is to represent the function in a series expansion using a linear combination of basis functions. Overcomplete d ... Cite

Rapid taste responses in the gustatory cortex during licking.

Journal Article J Neurosci · April 12, 2006 Rapid tastant detection is necessary to prevent the ingestion of potentially poisonous compounds. Behavioral studies have shown that rats can identify tastants in approximately 200 ms, although the electrophysiological correlates for fast tastant detection ... Full text Link to item Cite

Gustatory Cortical Response in the Gustatory Cortex during Licking

Journal Article The Journal of Neuroscience · April 2006 Cite

Nonparametric Models for Proteomic Peak Identification and Quantification

Chapter · 2006 We present model-based inference for proteomic peak identification and quantification from mass spectroscopy data, focusing on nonparametric Bayesian models. Using experimental data generated from MALDI-TOF mass spectroscopy (matrix-assisted laser desorpti ... Full text Cite

Lévy Processes

Chapter · January 1, 2006 Lévy processes are random processes on Euclidean space that are stochastically continuous and have stationary independent increments. They, and their stochastic integrals, have become useful tools in a variety of nonparametric statistical and environmetric ... Full text Cite

Gamma Function

Chapter · January 1, 2006 Full text Cite

Fractional Ornstein-Uhlenbeck Lévy processes and the Telecom process: Upstairs and downstairs

Journal Article Signal Processing · August 1, 2005 We model the workload of a network device responding to a random flux of work requests with various intensities and durations in two ways, a conventional univariate stochastic integral approach ("downstairs") and a higher-dimensional random field approach ... Full text Cite

Reflecting uncertainty in inverse problems: A Bayesian solution using Lévy processes

Journal Article Inverse Problems · December 1, 2004 We formulate the inverse problem of solving Fredholm integral equations of the first kind as a nonparametric Bayesian inference problem, using Levy random fields (and their mixtures) as prior distributions. Posterior distributions for all features of inter ... Full text Cite

Adjusted likelihoods for synthesizing empirical evidence from studies that differ in quality and design: Effects of environmental tobacco smoke

Journal Article Statistical Science · August 1, 2004 Methods are introduced and illustrated for synthesizing evidence from case-control and cohort studies, and controlled trials, accounting for differences among the studies in their design, length of follow-up and quality. The methods, based on hierarchical ... Full text Cite

A Conversation with {J}ames {O. B}erger

Journal Article Statistical Science · May 2004 Link to item Cite

A conversation with James O. Berger

Journal Article Statistical Science · January 1, 2004 James O. Berger was born on April 6, 1950, in Minneapolis, Minnesota, to Orvis and Thelma Berger. He earned his AB, MA and Ph.D. degrees in mathematics from Cornell University in 1971, 1973 and 1974, respectively. He served at Purdue University 1974-1997, ... Full text Cite

A nonparametric Bayesian approach to inverse problems

Conference BAYESIAN STATISTICS 7 · January 1, 2003 Link to item Cite

Spatial Poisson Regression for Health and Exposure Data Measured at Disparate Resolutions

Journal Article Journal of the American Statistical Association · December 1, 2000 Ecological regression studies are widely used to examine relationships between disease rates for small geographical areas and exposure to environmental risk factors. The raw data for such studies, including disease cases, environmental pollution concentrat ... Full text Cite

Comment

Journal Article Journal of the American Statistical Association · September 1, 2000 Full text Cite

Comment on ``On the {P}robability of {O}bserving {M}isleading {S}tatistical {E}vidence'' ({R}ichard {R}oyall)

Journal Article Journal of the American Statistical Association · September 2000 Cite

On the probability of observing misleading statistical evidence - Comment

Journal Article JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION · September 1, 2000 Link to item Cite

Meta-Analysis of Migraine Headache Treatments: Combining Information from Heterogeneous Designs

Journal Article Journal of the American Statistical Association · March 1, 1999 Migraine headache is a common condition in the United States for which a wide range of drug and nondrug treatments are available. There is wide disagreement about which treatments are most effective; meta-analysis of existing clinical trials can help to br ... Full text Cite

Rejoinder

Journal Article Statistical Science · January 1, 1999 Cite

Discussion of ``{B}ayesian Analysis of Agricultural Field Experiments'' ({J}ulian {B}esag and {D}ave {H}igdon)

Journal Article Journal of the Royal Statistical Society (Series B) · 1999 Cite

Integrated likelihood methods for eliminating nuisance parameters

Journal Article Statistical Science · January 1, 1999 Elimination of nuisance parameters is a central problem in statistical inference and has been formally studied in virtually all approaches to inference. Perhaps the least studied approach is elimination of nuisance parameters through integration, in the se ... Full text Cite

Spatial regression for marked point processes

Conference BAYESIAN STATISTICS 6 · 1999 Cite

Poisson/gamma random field models for spatial statistics

Journal Article Biometrika · January 1, 1998 Doubly stochastic Bayesian hierarchical models are introduced to account for uncertainty and spatial variation in the underlying intensity measure for point process models. Inhomogeneous gamma process random fields and, more generally, Markov random fields ... Full text Cite

Combining Information from Related Regressions

Journal Article Journal of Agricultural, Biological and Environmental Statistics · September 1997 Cite

Characterization of parameters in mechanistic models: A case study of a PCB fate and transport model

Journal Article Ecological Modelling · April 15, 1997 As a first step in a Bayesian analysis of PCB fate and transport in the upper Hudson River, a joint probability density function for parameters in a simulation model is created. The density function describes the joint probabilities of the following parame ... Full text Cite

Bayesian model for fate and transport of polychlorinated biphenyl in upper Hudson River

Journal Article Journal of Environmental Engineering ASCE · May 1, 1996 Modelers of contaminant fate and transport in surface waters typically rely on literature values when selecting parameter values for mechanistic models. While the expert judgment with which these selections are made is valuable, the information contained i ... Full text Cite

Inference from a Deterministic Population Dynamics Model for Bowhead Whales: Comment

Journal Article Journal of the American Statistical Association · June 1995 Full text Cite

Comment

Journal Article Journal of the American Statistical Association · January 1, 1995 Full text Cite

Discussion of ``{F}ractional {B}ayes factors for model comparison'' ({A}nthony {O'H}agan)

Journal Article Journal of the Royal Statistical Society (Series B) · 1995 Cite

BAYESIAN ROBUSTNESS IN BIDIMENSIONAL MODELS - PRIOR INDEPENDENCE - DISCUSSION

Journal Article JOURNAL OF STATISTICAL PLANNING AND INFERENCE · July 1, 1994 Link to item Cite

Linearization of Bayesian robustness problems

Journal Article Journal of Statistical Planning and Inference · January 1, 1993 One way to assess the dependence of the posterior on the choice of prior is to compute bounds of posterior expectations as the prior varies over a class of priors. We show how a simple linearization technique is useful for simplifying these computations in ... Full text Cite

Bayesian Inference with Specified Prior Marginals

Journal Article Journal of the American Statistical Association · December 1991 Full text Cite

Bayesian inference with specified prior marginals

Journal Article Journal of the American Statistical Association · January 1, 1991 We show how to find bounds on posterior expectations of arbitrary functions of the parameters when the prior marginals are specified but when the complete joint prior is unspecified. We also give a theorem that is useful for finding posterior bounds in a w ... Full text Cite

Diffusion equations in duals of nuclear spaces

Journal Article Stochastics · 1990 Cite

Is there a threshold for human health risk from ozone?

Journal Article Studies in Environmental Science · December 1, 1989 The existence of a "threshold," or concentration below which no adverse health effects are observed, is the basis for current air quality standards in the U.S. After using a regional dosimetry model (Miller-Overton) to adjust for variations in animal speci ... Full text Cite

Eliciting and combining subjective judgments about uncertainty.

Journal Article International journal of technology assessment in health care · January 1989 Frequently, health care decisions must be made before compelling and unequivocal evidence is available about the benefits, risks, and costs of a proposed new health technology. It is common for decision makers to seek the advice and opinions of experts to ... Full text Cite

A head-only exposure system for controlled exposures of small rodents.

Journal Article Toxicology letters · September 1987 We have designed a low-cost, compact, head-only exposure system which is easy to use and allows exposure of up to 8 or 16 small rodents depending on the chamber used with the system. Animals are exposed without anesthesia or extreme restraint. Deflection t ... Full text Cite

Pharmacokinetic modeling of the lung burden from repeated inhalation of nickel aerosols.

Journal Article Toxicology letters · September 1987 The saturable nature of the clearance of soluble nickel compounds from the lung was studied by repeated exposures of rats to respirable submicron-size nickel aerosols. Using Michaelis-Menten type kinetics for removal of nickel lung burdens and a constant r ... Full text Cite

CONFIDENCE PROFILES - A BAYESIAN METHOD FOR SYNTHESIZING EVIDENCE

Journal Article MEDICAL DECISION MAKING · January 1, 1987 Link to item Cite

Chemical carcinogenesis and toxity models: Matching complexity to objectives

Journal Article Bulletin of Mathematical Biology · 1986 Cite

Chemical carcinogenesis and toxicity models: matching complexity to objectives.

Journal Article Bulletin of mathematical biology · January 1986 Full text Cite

NUCLEAR SPACE VALUED SDES AND NEURONAL APPLICATIONS

Journal Article STOCHASTIC PROCESSES AND THEIR APPLICATIONS · December 1, 1985 Link to item Cite

PREDICTING HUMAN-LUNG BURDENS FROM NICKEL AEROSOL EXPOSURES

Journal Article JOURNAL OF THE AMERICAN COLLEGE OF TOXICOLOGY · January 1, 1985 Link to item Cite

DOSE-RESPONSE ANALYSES OF OZONE HEALTH-EFFECTS DATA

Journal Article JOURNAL OF THE AMERICAN COLLEGE OF TOXICOLOGY · January 1, 1985 Link to item Cite

ASSESSING HEALTH EFFECTS FOLLOWING EXPOSURE TO OZONE BY COMBINING LITERATURE DATA WITH A DOSIMETRIC MODEL.

Journal Article Proceedings Annual Meeting Air Pollution Control Association · December 1, 1984 Recent developments within the scientific community now appear to offer the potential to develop a methodology which will allow a much wider use of the existing animal toxicology data as well as a better definition of additional research needs for the futu ... Cite

Infinite dimensional stochastic differential equation models for spatially distributed neurons

Journal Article Applied Mathematics Optimization · October 1, 1984 The membrane potential of spatially distributed neurons is modeled as a random field driven by a generalized Poisson process. Approximation to an Ornstein-Uhlenbeck type process is established in the sense of weak convergence of the induced measures in Sko ... Full text Cite

Infinite variance self-similar processes subordinate to a poisson measure

Journal Article Zeitschrift Fur Wahrscheinlichkeitstheorie Und Verwandte Gebiete · March 1, 1983 Full text Cite

Estimating the mean function of a Gaussian process and the Stein effect

Journal Article Journal of Multivariate Analysis · January 1, 1983 The problem of global estimation of the mean function θ(·) of a quite arbitrary Gaussian process is considered. The loss function in estimating θ by a function a(·) is assumed to be of the form L(θ, a) = ∫ [θ(t) - a(t)]2μ(dt), and estimators are ... Full text Cite

Wiener path intersections and local time

Journal Article Journal of Functional Analysis · January 1, 1978 We study intersection properties of Wiener processes in the plane. For each positive integer k we show that k independent Wiener processes intersect almost surely in a set of Hausdorff dimension two, and that the set of points a single process visits at le ... Full text Cite

Local time and a particle picture for Euclidean field theory

Journal Article Journal of Functional Analysis · January 1, 1978 The (φk)2 model of Euclidean field theory is constructed using Brownian motion to model the movement of particles in space-"time." The Brownian particles' path intersections are controlled by local time techniques and are associated w ... Full text Cite