A POINTWISE POISSON APPROXIMATION FOR RANDOM SUMS OF GEOMETRIC RANDOM VARIABLES [PDF]
International Journal of Pure and Apllied Mathematics, 2013 We determine a bound for the point metric between the dis- tribution of random sums of independent geometric random variables and an appropriate Poisson distribution. Three examples have been given to illustrate the results obtained.
K. Teerapabolarn
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Combinatorial Aspects of Weighted Free Poisson Random Variables [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related TopicsThis paper will be devoted to the study of weighted (deformed) free Poisson random variables from the viewpoint of orthogonal polynomials and statistics of non-crossing partitions. A family of weighted (deformed) free Poisson random variables will be defined in a sense by the sum of weighted (deformed) free creation, annihilation, scalar, and ...
Nobuhiro Asai, Hiroaki Yoshida
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Discrete Poisson Haq distribution with mathematical properties and count data modeling [PDF]
Scientific ReportsA new one-parameter discrete distribution, namely the Poisson Haq (PH) distribution, is proposed by a mixture of the Poisson variable and an independently distributed Haq random variable.
Abdullah M. Alomair +3 more
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Explicit constants in the nonuniform local limit theorem for Poisson binomial random variables [PDF]
Journal of Inequalities and ApplicationsIn a recent paper the authors proved a nonuniform local limit theorem concerning normal approximation of the point probabilities P ( S = k ) $P(S=k)$ when S = ∑ i = 1 n X i $S=\sum_{i=1}^{n}X_{i}$ and X 1 , X 2 , … , X n $X_{1},X_{2},\ldots ,X_{n}$ are ...
Graeme Auld, Kritsana Neammanee
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Parisian times, Bessel processes and Poisson-Dirichlet random variables [PDF]
, 2021 In this thesis, we study the first hitting time and Parisian time of Brownian motion and squared Bessel process, as well as the exact simulation algorithm of the two-parameter Poisson-Dirichlet distribution. Let the underlying process be a reflected Brownian motion with drift moving on a finite collection of rays.
Junyi Zhang
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Hierarchical Generalized Linear Models: The R Package HGLMMM [PDF]
Journal of Statistical Software, 2011 The R package HGLMMM has been developed to fit generalized linear models with random effects using the h-likelihood approach. The response variable is allowed to follow a binomial, Poisson, Gaussian or gamma distribution.
Marek Molas, Emmanuel Lesaffre
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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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Correction: Compound Poisson Approximations for Sums of Random Variables [PDF]
The Annals of Probability, 1988 Richard F. Serfozo
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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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