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Ergodic theorems for dynamic imprecise probability kinematics

Publication ,  Journal Article
Caprio, M; Mukherjee, S
Published in: International Journal of Approximate Reasoning
January 1, 2023

We formulate an ergodic theory for the (almost sure) limit PE˜co of a sequence (PEnco) of successive dynamic imprecise probability kinematics (DIPK, introduced in [10]) updates of a set PE0co representing the initial beliefs of an agent. As a consequence, we formulate a strong law of large numbers.

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Published In

International Journal of Approximate Reasoning

DOI

ISSN

0888-613X

Publication Date

January 1, 2023

Volume

152

Start / End Page

325 / 343

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4602 Artificial intelligence
  • 0801 Artificial Intelligence and Image Processing
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
 

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Caprio, M., & Mukherjee, S. (2023). Ergodic theorems for dynamic imprecise probability kinematics. International Journal of Approximate Reasoning, 152, 325–343. https://doi.org/10.1016/j.ijar.2022.10.016
Caprio, M., and S. Mukherjee. “Ergodic theorems for dynamic imprecise probability kinematics.” International Journal of Approximate Reasoning 152 (January 1, 2023): 325–43. https://doi.org/10.1016/j.ijar.2022.10.016.
Caprio M, Mukherjee S. Ergodic theorems for dynamic imprecise probability kinematics. International Journal of Approximate Reasoning. 2023 Jan 1;152:325–43.
Caprio, M., and S. Mukherjee. “Ergodic theorems for dynamic imprecise probability kinematics.” International Journal of Approximate Reasoning, vol. 152, Jan. 2023, pp. 325–43. Scopus, doi:10.1016/j.ijar.2022.10.016.
Caprio M, Mukherjee S. Ergodic theorems for dynamic imprecise probability kinematics. International Journal of Approximate Reasoning. 2023 Jan 1;152:325–343.
Journal cover image

Published In

International Journal of Approximate Reasoning

DOI

ISSN

0888-613X

Publication Date

January 1, 2023

Volume

152

Start / End Page

325 / 343

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4602 Artificial intelligence
  • 0801 Artificial Intelligence and Image Processing
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics