Results 31 to 40 of about 246,303 (282)
Axioms, 2023 Count data are encountered in real-life dealings. More understanding of such data and the extraction of important information about the data require some statistical analysis or modeling.
Hassan S. Bakouch +5 more
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Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry [PDF]
, 2016 A Poisson or a binomial process on an abstract state space and a symmetric function $f$ acting on $k$-tuples of its points are considered. They induce a point process on the target space of $f$.
Decreusefond, Laurent +2 more
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Austrian Journal of Statistics, 2021 A new continuous four-parameter lifetime distribution is introduced by compounding the distribution of the maximum of a sequence of an independently identically exponentiated Lomax distributed random variables and zero truncated Poisson random variable ...
Devendra Kumar +3 more
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Some estimates of the normal approximation for mixture of Poisson and gamma random variables
Lietuvos Matematikos Rinkinys, 2010 In the paper, we present the upper bound of Lp norms ∆p of the order (a1 + a2)/(DZ)-1/2 for all 1 0, and the random variable Y by the standard gamma distribution Γ (α, 0, 1) with the parameter α > 0.
Jonas Kazys Sunklodas
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A Berry-Esseen theorem for Pitman's $\alpha$-diversity
, 2020 This paper is concerned with the study of the random variable $K_n$ denoting the number of distinct elements in a random sample $(X_1, \dots, X_n)$ of exchangeable random variables driven by the two parameter Poisson-Dirichlet distribution, $PD(\alpha ...
Dolera, Emanuele, Favaro, Stefano
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Correct ordering in the Zipf-Poisson ensemble [PDF]
, 2010 We consider a Zipf--Poisson ensemble in which $X_i\sim\poi(Ni^{-\alpha})$ for $\alpha>1$ and $N>0$ and integers $i\ge 1$. As $N\to\infty$ the first $n'(N)$ random variables have their proper order $X_1>X_2>...>X_{n'}$ relative to each other, with ...
Dyer, Justin S., Owen, Art B.
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POISSON APPROXIMATION FOR RANDOM SUMS OF GEOMETRIC RANDOM VARIABLES [PDF]
International Journal of Pure and Apllied Mathematics, 2013 In this paper, we determine bounds with different Poisson mean for the total variation distance between the distribution of random sums of in- dependent geometric random variables and an appropriate Poisson distribution. Two examples have been given to illustrate the results obtained.
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Poisson approximation for independent geometric random variables [PDF]
International Mathematical Forum, 2007 The Stein-Chen method is used to derive two formulas of uniform and non-uniform bounds on Poisson approximation for a sum of n independent geometric random variables. Application of these formulas is illustrated with the Poisson approximation to the negative binomial distribution.
K. Teerapabolarn, P. Wongkasem
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Large deviations for fractional Poisson processes
, 2012 We prove large deviation principles for two versions of fractional Poisson processes. Firstly we consider the main version which is a renewal process; we also present large deviation estimates for the ruin probabilities of an insurance model with ...
Beghin, Luisa, Macci, Claudio
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AIP Advances, 2022 There are many previous studies on designing efficient and high-order numerical methods for stochastic differential equations (SDEs) driven by Gaussian random variables.
Hongling Xie
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