Approximations of distributions of sums of lattice random variables. I

DOI10.1007/BF01049463zbMath0633.60027MaRDI QIDQ1096241

B. George

Publication date: 1986

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsconvolutions of Poisson type measuresEstimations of remainder terms

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50)

Related Items (15)

Signed Poisson approximations for Markov chains ⋮ Compound Poisson approximation ⋮ Non-uniform theorems for discrete measures ⋮ Approximations of distributions of sums of lattice random variables. II ⋮ On multivariate Le Cam theorem and compound Poisson measures ⋮ Compound Poisson approximations for symmetric vectors ⋮ Compound Poisson approximations for sums of 1-dependent random variables. II ⋮ Compound Poisson approximation to weighted sums of symmetric discrete variables ⋮ Smoothing effect of compound Poisson approximations to the distributions of weighted sums ⋮ On local estimates and the Stein method ⋮ Infinitely divisible approximations for discrete nonlattice variables ⋮ Approximation of distributions of integral additive functions by discrete charges. I ⋮ On a centered Poisson approximation ⋮ Remarks on estimates in the total-variation metric ⋮ On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I

Cites Work

• Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
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