## Complete convergence theorem for a competition model

Publication
, Journal Article

Durrett, R; Møller, AM

Published in: Probability Theory and Related Fields

March 1, 1991

In this paper we consider a hierarchical competition model. Durrett and Swindle have given sufficient conditions for the existence of a nontrivial stationary distribution. Here we show that under a slightly stronger condition, the complete convergence theorem holds and hence there is a unique nontrivial stationary distribution. © 1991 Springer-Verlag.

### Duke Scholars

## Published In

Probability Theory and Related Fields

## DOI

## EISSN

1432-2064

## ISSN

0178-8051

## Publication Date

March 1, 1991

## Volume

88

## Issue

1

## Start / End Page

121 / 136

## Related Subject Headings

- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics
- 0104 Statistics
- 0102 Applied Mathematics
- 0101 Pure Mathematics

### Citation

APA

Chicago

ICMJE

MLA

NLM

Durrett, R., & Møller, A. M. (1991). Complete convergence theorem for a competition model.

*Probability Theory and Related Fields*,*88*(1), 121–136. https://doi.org/10.1007/BF01193585Durrett, R., and A. M. Møller. “Complete convergence theorem for a competition model.”

*Probability Theory and Related Fields*88, no. 1 (March 1, 1991): 121–36. https://doi.org/10.1007/BF01193585.Durrett R, Møller AM. Complete convergence theorem for a competition model. Probability Theory and Related Fields. 1991 Mar 1;88(1):121–36.

Durrett, R., and A. M. Møller. “Complete convergence theorem for a competition model.”

*Probability Theory and Related Fields*, vol. 88, no. 1, Mar. 1991, pp. 121–36.*Scopus*, doi:10.1007/BF01193585.Durrett R, Møller AM. Complete convergence theorem for a competition model. Probability Theory and Related Fields. 1991 Mar 1;88(1):121–136.

## Published In

Probability Theory and Related Fields

## DOI

## EISSN

1432-2064

## ISSN

0178-8051

## Publication Date

March 1, 1991

## Volume

88

## Issue

1

## Start / End Page

121 / 136

## Related Subject Headings

- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics
- 0104 Statistics
- 0102 Applied Mathematics
- 0101 Pure Mathematics