Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
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Publication:5586844
DOI10.1002/mana.19640270507zbMath0192.25204OpenAlexW2078164614MaRDI QIDQ5586844
Publication date: 1964
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19640270507
Related Items (33)
Operator semigroups and Poisson convergence in selected metrics ⋮ Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures ⋮ Approximations of distributions of sums of lattice random variables. I ⋮ Non-uniform theorems for discrete measures ⋮ Coupling methods in approximations ⋮ On closeness of two discrete weighted sums ⋮ Normal and poisson approximation of infinitely divisible distribution functions ⋮ A semigroup approach to Poisson approximation with respect to the point metric ⋮ Approximation of the distribution of some statistics by Poisson laws ⋮ Pseudo-Poisson approximation for Markov chains ⋮ Poisson approximation for the number of large digits of inhomogeneous \(f\)-expansions ⋮ Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors ⋮ Asymptotic expansions in the approximation by the Poisson law ⋮ Compound Poisson approximations for sums of 1-dependent random variables. II ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Classical and almost sure local limit theorems ⋮ Integral additive arithmetic functions and the Poisson distribution ⋮ Lower-bound estimates for Poisson-type approximations ⋮ Compound Poisson approximation to weighted sums of symmetric discrete variables ⋮ Approximation durch Poissonsche Prozesse ⋮ Verallgemeinerung eines Satzes von Prochorow und Le Cam ⋮ Smoothing effect of compound Poisson approximations to the distributions of weighted sums ⋮ Probabilities of large deviations in a scheme of series ⋮ Asymptotic expansions for the probabilities of large deviations. Normal approximation. III ⋮ On the accuracy of Poisson approximation ⋮ Deviation of discrete distributions -- positive and negative results ⋮ The maximum difference between the binomial and Poisson distributions ⋮ Approximation of distributions of integral additive functions by discrete charges. I ⋮ Large deviations for integer centered Poisson approximation ⋮ On a centered Poisson approximation ⋮ Poisson approximation ⋮ Asymptotic expansions for probability distributions ⋮ Remarks on estimates in the total-variation metric
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