Asymptotic efficiency of Kolmogorov-Smirnov type symmetry tests in the case of a sample of random size

DOI10.1007/BF01095389zbMath0682.62032OpenAlexW2031613770MaRDI QIDQ1824323

Barry Saidou, Yakov Yu. Nikitin

Publication date: 1989

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01095389

zbMATH Keywords

Bahadur efficiencysamples of random sizesign statisticlarge deviation asymptoticsKolmogorov-Smirnov-type statisticstesting of symmetry

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Large deviations (60F10)

Cites Work

• Unnamed Item
• On Kolmogorov-Smirnov-type tests for symmetry
• Exact Bahadur Efficiencies for the Kolmogorov-Smirnov and Kuiper One- and Two-Sample Statistics
• On the Strong Law of Large Numbers and the Central Limit Theorem for Martingales
• Weak Convergence and a Chernoff-Savage Theorem for Random Sample Sizes
• Rates of Convergence of Estimates and Test Statistics
• A Test for Symmetry Using the Sample Distribution Function
• Asymptotic Normality of Random Rank Statistics
• On Deviations between Theoretical and Empirical Distributions

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