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Fully degenerate Bell polynomials associated with degenerate Poisson random variables [PDF]
Open Mathematics, 2021 Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al.
Kim Hye Kyung
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Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials
Open Mathematics, 2021 The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show
Kim Taekyun +3 more
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On degenerate Poisson random variable
Mathematical and Computer Modelling of Dynamical SystemsIn 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.
Mikyoung Ha, Suhyun Lee, Youngsoo Seol
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Mathematical and Computer Modelling of Dynamical SystemsIn this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter [Formula: see text] and Poisson random variable with parameter [Formula: see text].
Jongkyum Kwon +2 more
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Degenerate Zero-Truncated Poisson Random Variables [PDF]
Russian Journal of Mathematical Physics, 2021 12
Kim, T., Kim, D. S.
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SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES
Fractals, 2022 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 ...
Kim, Taekyun +6 more
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Applied Mathematics in Science and Engineering, 2022 Degenerate Dowling and degenerate r-Dowling polynomials were introduced earlier as degenerate versions and further generalizations of Dowling and r-Dowling polynomials.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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Mathematics, 2023 For each t∈(−1,1), the exact value of the least upper bound H(t)=sup{E|X|3/E|X−t|3} over all the non-degenerate distributions of the random variable X with a fixed normalized first-order moment EX1/EX12=t, and a finite third-order moment is obtained ...
Vladimir Makarenko, Irina Shevtsova
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Some properties of degenerate complete and partial Bell polynomials
Advances in Difference Equations, 2021 In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are ...
Taekyun Kim +4 more
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Degenerate binomial and degenerate Poisson random variables
, 2020 The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show that the rising factorial moments of the degenerate Poisson random variable with parameter are ...
Kim, Dae San, Kim, Taekyun
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