Identification of parameters from the distribution of the maximum or minimum of Poisson random variables
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- 1월-2022
- Publisher
- ELSEVIER
- Keywords
- Poisson distributions; Identification of parameters; Distribution of maximum; Distribution of minimum
- Citation
- STATISTICS & PROBABILITY LETTERS, v.180
- Indexed
- SCIE
SCOPUS
- Journal Title
- STATISTICS & PROBABILITY LETTERS
- Volume
- 180
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/135289
- DOI
- 10.1016/j.spl.2021.109243
- ISSN
- 0167-7152
- Abstract
- Bi and Mukherjea (2011) considered the following problem: If X-1, ..., X-n are indepen- dent Poisson distributed random variables with parameters lambda(1), ..., lambda(n), respectively, then does the distribution of max{X-1, ..., X-n} or of min{X-1 , ..., X-n} uniquely determine the parameters? They proved that the distribution of max{X-1, X-2, X-3} uniquely determines lambda(1), lambda(2) and lambda(3). In this paper, we prove the identifiability problem of parameters from the distribution of max{X-1, ..., X-n} or of min{X-1 , ..., X-n} for any value of n. (C) 2021 Elsevier B.V. All rights reserved.
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