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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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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 the implementation of maximum entropy sampling with unequal probabilities and without replacement [PDF]
MethodsXSampling with maximum entropy offers robustness to statistical inference based on randomization theory. However, there were no comprehensive, practical guides explaining how to implement maximum entropy sampling for finite populations with unequal ...
Philippe Aubry
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A remark on the fluctuation behavior of I.I.D. Poisson random variables
Statistics and Probability Letters, 1983 Abstract An iterated logarithm law is obtained for the almost certain fluctuation behavior of i.i.d. Poisson random variables.
Andrew Rosalsky
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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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Modelling Generalized Poisson Regression in the Number of Dengue Hemorrhagic Fever (DHF) in East Nusa Tenggara [PDF]
E3S Web of Conferences, 2020 Regression analysis is an analysis used to model the relationship between the dependent variable (Y) and the independent variable (X). If the dependent variable is a discrete random variable, it is developed using the Poisson regression model.
Prahutama Alan +2 more
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New Challenges for Classical and Quantum Probability
Entropy, 2022 The discovery that any classical random variable with all moments gives rise to a full quantum theory (that in the Gaussian and Poisson cases coincides with the usual one) implies that a quantum–type formalism will enter into practically all applications
Luigi Accardi
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Fully degenerate Bell polynomials associated with degenerate Poisson random variables
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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Mathematics, 2023 Inhomogeneous random graphs are commonly used models for complex networks where nodes have varying degrees of connectivity. Computing the degree distribution of such networks is a fundamental problem and has important applications in various fields.
Róbert Pethes, Levente Kovács
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Dependence on a collection of Poisson random variables [PDF]
Statistical Methods & Applications, 2021 We propose two novel ways of introducing dependence among Poisson counts through the use of latent variables in a three levels hierarchical model. Marginal distributions of the random variables of interest are Poisson with strict stationarity as special case.
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