Limit theorems for a correlated moving window model

DOI10.1007/s41980-021-00675-8OpenAlexW4205692399WikidataQ113890897 ScholiaQ113890897MaRDI QIDQ2081684

Somesh Kumar, Deepak Singh

Publication date: 30 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00675-8

zbMATH Keywords

strong law of large numberscentral limit theoremmartingalelaw of iterated logarithmmultiple scan statisticmoving windows

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistics (62-XX) Strong limit theorems (60F15)

Cites Work

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• Limit theorems for correlated Bernoulli random variables
• On a waiting time distribution in a sequence of Bernoulli trials
• The moving blocks bootstrap and robust inference for linear least squares and quantile regressions
• The limit theorems for a previous \(k\)-sum dependent model
• A generalized binomial distribution
• Simple diagnostic tools for inverstigating linear trends in time series
• Asymptotics and Criticality for a Correlated Bernoulli Process
• Asymptotic results for the multiple scan statistic
• Scan statistics

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