Degenerate Zero-Truncated Poisson Random Variables

Recently, the degenerate Poisson random variable with parameter , whose probability mass function is given by , was studied. In probability theory, the zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers. These distribut...

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Bibliographic Details
Published inRussian journal of mathematical physics Vol. 28; no. 1; pp. 66 - 72
Main Authors Kim, T., Kim, D. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.01.2021
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Poisson distribution
Probability theory
Random variables
Statistical analysis
Theoretical
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Summary:Recently, the degenerate Poisson random variable with parameter , whose probability mass function is given by , was studied. In probability theory, the zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers. These distributions are also known as the conditional Poisson distributions or the positive Poisson distributions. In this paper, we introduce the degenerate zero-truncated Poisson random variables whose probability mass functions are a natural extension of the zero-truncated Poisson distributions, and investigate various properties of those random variables.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920821010076