On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials.
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| Title: | On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials. |
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| Authors: | Kwon, Jongkyum1 (AUTHOR), Park, Sangbeom2 (AUTHOR), Park, Jin-Woo3 (AUTHOR) a0417001@daegu.ac.kr |
| Source: | Mathematical & Computer Modelling of Dynamical Systems. Dec2025, Vol. 31 Issue 1, p1-14. 14p. |
| Subjects: | Poisson distribution, Random variables, Combinatorics, Mathematical sequences, Polynomials, Conditional expectations |
| Abstract: | In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter $(r,p)$ (r , p) and Poisson random variable with parameter $\alpha $ α. In particular, we show that the expectation of rising factorial sequences or degenerate rising factorial sequences of negative λ-binomial random variables or Poisson random variables are strongly related to Lah numbers, modified degenerate Lah-Bell polynomials, the Stirling numbers of the first kind and Bell polynomials. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter $(r,p)$ (r , p) and Poisson random variable with parameter $\alpha $ α. In particular, we show that the expectation of rising factorial sequences or degenerate rising factorial sequences of negative λ-binomial random variables or Poisson random variables are strongly related to Lah numbers, modified degenerate Lah-Bell polynomials, the Stirling numbers of the first kind and Bell polynomials. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 13873954 |
| DOI: | 10.1080/13873954.2025.2468712 |
