COMPOUND POISSON APPROXIMATION OF THE NUMBER DISTRIBUTION FOR MONOTONE STRINGS OF FIXED LENGTH IN A RANDOM SEQUENCE

DOI10.17223/20710410/28/2OpenAlexW4239278089MaRDI QIDQ5150681

Alexander A. Minakov

Publication date: 15 February 2021

Published in: PRIKLADNAYa DISKRETNAYa MATEMATIKA (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pdm507

zbMATH Keywords

compound Poisson distributionStein methodestimate of variation distance of compound Poisson approximationmonotone strings

Mathematics Subject Classification ID

Statistics (62-XX) Probability theory and stochastic processes (60-XX)

Related Items

Compound Poisson approximation ⋮ Poisson approximation for the number of non-decreasing runs in Markov chains

Cites Work

• Limiting behavior of a process of runs
• Stein's method for compound Poisson approximation: The local approach
• Poisson Approximation for the Non-Overlapping Appearances of Several Words in Markov Chains
• Sparse random graphs with clustering
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• Asymptotic Distribution of Runs Up and Down