On degenerate Poisson random variable

Autor: Mikyoung Ha, Suhyun Lee, Youngsoo Seol
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 721-735 (2024)
Druh dokumentu: article
ISSN: 13873954
1744-5051
1387-3954
DOI: 10.1080/13873954.2024.2395808
Popis: In this paper, we delve into the intricate properties of degenerate Poisson random variables, exploring their moment generating function, the law of large numbers, and the central limit theorem. Our study into the law of large numbers unveils the convergence patterns of degenerate Poisson random variables, enlightening the stability and predictability of their expected values and variances. Further enriching our study, we extend our focus to the central limit theorem, unravelling the interesting results that emerge as the sample size approaches infinity.
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