Asymptotic normality of the number of values of m-dependent random variables which occur a given number of times

DOI10.1515/DMA.2011.002zbMath1233.62027OpenAlexW2096025161MaRDI QIDQ3008821

Vladimir P. Chistyakov

Publication date: 22 June 2011

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

Full work available at URL: https://doi.org/10.1515/dma.2011.002

zbMATH Keywords

stationary sequences

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Cites Work

• Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs
• Asymptotic normality of the number of absent noncontinuous chains of outcomes of independent trials
• ASYMPTOTIC NORMALITY IN A SCHEME OF FINITELY DEPENDENT DISTRIBUTION OF PARTICLES IN CELLS
• On a Theorem of Janson
• On the asymptotic behaviour of moments of the number of absent s-tuples

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