Limit distributions of the \(\chi ^{2}\) statistic of K. Pearson in a sequence of independent trials

DOI10.1134/S0001434608050271zbMath1152.62013OpenAlexW2166171775MaRDI QIDQ2518045

Boris I. Selivanov

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608050271

zbMATH Keywords

normal distributiongoodness-of-fit testmultinomial trials(in)homogeneous trials\(\chi ^2\) distribution\(\chi ^2\) statistic of K. Pearsonasymptotically normal random variable

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

Related Items (1)

Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

Cites Work

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• THE DISTRIBUTION OF GENERAL QUADRATIC FORMS IN NORMA
• A Power Approximation for the Chi-Square Goodness-of-Fit Test: Simple Hypothesis Case
• The Use of Maximum Likelihood Estimates in $\chi^2$ Tests for Goodness of Fit

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