Convergence of the sequence of the Pearson statistics values to the normalized square of the Bessel process

DOI10.1515/DMA-2017-0041zbMath1388.62238OpenAlexW2773568865MaRDI QIDQ1744338

Andrey M. Zubkov, Maksim P. Savelov

Publication date: 23 April 2018

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2017-0041

zbMATH Keywords

Bessel processsequential chi-square testPearson statistics

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Sequential statistical analysis (62L10)

Related Items (2)

A family of asymptotically independent statistics in polynomial scheme containing the Pearson statistic ⋮ Two-Stage Chi-Square Test and Two-Dimensional Distributions of a Bessel Process

Cites Work

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• Asymptotic Distribution of The $\chi ^2 $ Criterion when the Number of Observations and Number of Groups Increase Simultaneously
• The Limit Distribution for a Chi-Square Process with Disorder
• A Sequential Chi-Square Test
• Multivariate chi-square distribution for non-homogeneous polynomial scheme
• SEQUENTIAL $ \chi^2$ CRITERIA

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