On the proximity of sequences of probability distributions

DOI10.1134/s1995080223070156zbMath1525.60022OpenAlexW4388000622MaRDI QIDQ6059287

Sh. K. Formanov

Publication date: 2 November 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223070156

zbMATH Keywords

random variablescharacteristic functionsprobability distributionstriangular arrays of independent random variablescontinuity (convergence) theoremproximity of sequences of probability distributionsRotar number characteristic

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Cites Work

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• A non-uniform bound of the remainder term in the central limit theorem for Bernoulli random variables
• A modified version of the Stein-Chen method and a nonclassical limit theorem on convergence to a Poisson distribution
• On the Kolmogorov-Prokhorov theorem on the existence of expectations of random sums
• On joint probability distribution of the number of vertices and area of the convex hulls generated by a Poisson point process
• Probability theory. Edited by K. A. Borovkov. Transl. from the Russian by O. Borovkova and P. S. Ruzankin
• On transient phenomena in branching random processes with discrete time
• On Lindeberg-Feller limit theorem
• The Stein-Tikhomirov Method and Berry-Esseen Inequality for Sampling Sums from a Finite Population of Independent Random Variables
• STEIN'S METHOD AND THE BERRY-ESSÉEN THEOREM
• Another Proof of a Sakhanenko Theorem
• On Modifications of the Lindeberg and Rotar' Conditions in the Central Limit Theorem
• On Nonuniform Estimates of Approximation Exactness in the Central Limit Theorem
• Limit theorems for the generalized size of epidemic in a Markov model with immunization
• The Stein-Tikhomirov method and a nonclassical central limit theorem
• The Stein-Tikhomirov method and a nonclassical central limit theorem

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