Discrete approximations for sums of m-dependent random variables (original) (raw)

Nonuniform Approximations for Sums of Discrete m-Dependent Random Variables

Vydas Cekanavicius

Springer Proceedings in Mathematics & Statistics, 2013

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A new method for obtaining sharp compound Poisson approximation error estimates for sums of locally dependent random variables

Michael Boutsikas

Bernoulli, 2010

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On large deviations for sums of discrete m-dependent random variables

Vydas Cekanavicius

Stochastics

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On corrected Poisson approximations for sums of independent indicators

Nickos Papadatos

arXiv (Cornell University), 2023

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Approximations Related to the Sums of mmm-dependent Random Variables

Neelesh Upadhye

arXiv: Probability, 2020

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A Compound Poisson Convergence Theorem for Sums of m$$ m -Dependent Variables

Vydas Cekanavicius

Journal of Theoretical Probability, 2014

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Poisson approximations of multinomial distributions and point processes

Dietmar Pfeifer

Journal of Multivariate Analysis, 1988

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A bound for the distribution of the sum of discrete associated or negatively associated random variables

Michael Boutsikas

The Annals of Applied Probability, 2001

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On runs, bivariate Poisson mixtures and distributions that arise in Bernoulli arrays

Éric Marchand

Electronic Communications in Probability, 2014

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Bounds for the approximation of Poisson-binomial distribution by Poisson distribution

Tran Minh Hung

Journal of Inequalities and Applications, 2013

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Total variation asymptotics for sums of independent integer random variables

Vydas Cekanavicius

The Annals of Probability, 2002

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On discrete Gibbs measure approximation to runs

Amit Kumar

Communications in Statistics - Theory and Methods, 2020

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Comparison of Approximations for Compound Poisson Processes

Raffaello Seri

ASTIN Bulletin, 2015

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Moderate deviations in Poisson approximation: a first attempt

Louis Lejun Chen

Statistica Sinica, 2014

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Compound Poisson and signed compound Poisson approximations to the Markov binomial law

Vydas Cekanavicius

Bernoulli, 2010

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Large Deviations for Signed Compound Poisson Approximations

Pranas Vaitkus

Statistics & Risk Modeling, 1997

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Poisson Approximation to the Convolution of Power Series Distributions

Frederi Viens

arXiv: Probability, 2020

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Asymptotic expansions for compound Poisson measures

Vydas Cekanavicius

Lithuanian Mathematical Journal, 1997

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On Improvements of the Order of Approximation in the Poisson Limit Theorem

Dietmar Pfeifer

Journal of Applied Probability, 1996

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Poisson type approximations for the Markov binomial distribution

Vydas Cekanavicius

Stochastic Processes and their Applications, 2009

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On the sums of compound negative binomial and gamma random variables

Neelesh Upadhye

Journal of Applied Probability, 2009

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An approximation of partial sums of independent RV'-s, and the sample DF. I

Peter Major

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1975

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Approximating the compound negative binomial distribution by the compound Poisson distribution

Jan Dhaene

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A COM–Poisson type generalization of the binomial distribution and its properties and applications

Josemar Rodrigues

Statistics & Probability Letters, 2014

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A Note on the (Weighted) Bivariate Poisson Distribution

Leonard NIERE

European Journal of Pure and Applied Mathematics, 2021

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Approximations for sums of three-valued 1-dependent symmetric random variables

Vydas Cekanavicius

Nonlinear Analysis: Modelling and Control

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A size-free CLT for poisson multinomials and its applications

Konstantinos Daskalakis

Proceedings of the forty-eighth annual ACM symposium on Theory of Computing, 2016

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On a relationship between Uspensky's theorem and poisson approximations

Dietmar Pfeifer

Annals of the Institute of Statistical Mathematics, 1988

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Explicit Limits of Total Variation Distance in Approximations of Random Logarithmic Assemblies by Related Poisson Processes

Dudley Stark

Combinatorics, Probability & Computing, 1997

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A Poisson approximation for the number of k-matches

Anant Godbole

Statistics & Probability Letters, 1994

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Nonparametric estimation in random sum models

Dr. Hassan Bakouch

Statistica, 2009

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Small Deviation Probabilities of Sums of Independent Random Variables

Marjorie Hahn

High Dimensional Probability, 1998

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Poisson approximation for a sum of dependent indicators: an alternative approach

Nickos Papadatos

Advances in Applied Probability, 2002

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On the accuracy of approximation of the distribution of negative-binomial random sums by the gamma distribution

tran loc Hung

Kybernetika

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Estimating the parameters of binomial and Poisson distributions via multistage sampling,” arXiv:0810.0430v1 [math.ST

Xinjia chen

2008

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