SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES

Taekyun Kim, Dae San Kim, Jin-Woo Park (), Si-Hyeon Lee, Seong-Ho Park, Mohammed Sulaiman Alqawba and Lee-Chae Jang
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Taekyun Kim: Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
Dae San Kim: ��Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
Jin-Woo Park: ��Department of Mathematics Education, Daegu University, Daegu, Republic of Korea
Si-Hyeon Lee: Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
Seong-Ho Park: Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
Mohammed Sulaiman Alqawba: �Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass, Saudi Arabia
Lee-Chae Jang: �Graduate School of Education, Konkuk University, Seoul 143-701, Republic of Korea

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-7

Abstract: The zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers, which are also known as the conditional Poisson distributions or the positive Poisson distributions. Recently, as a natural extension of those distributions, Kim–Kim studied the zero-truncated degenerate Poisson distributions. In this paper, we introduce the r-truncated degenerate Poisson random variable with parameter α > 0, whose probability mass function is given by pλ,r(i) = (1)i,λ eλ(α)−eλ,r(α) αi i! , (i = r + 1,r + 2,r + 3,…), and investigate various properties of this random variable.

Keywords: r-Truncated Degenerate Poisson Random Variables; r-Truncated Degenerate Stirling Numbers of the Second Kind (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401922

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