Distribution results for distance functions based on the modified empirical distribution function of M. Kac

DOI10.1007/BF02479742zbMath0315.62012OpenAlexW2166777822MaRDI QIDQ1221454

Miklós Csörgő

Publication date: 1972

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02479742

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15)

Related Items (2)

Strong approximation of empirical Kac processes ⋮ Distributions of Kac-statistics

Cites Work

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• Distribution results and power functions for Kac statistics
• The Brownian movement and stochastic equations
• Some Smirnov Type Theorems of Probability Theory
• A Statistical Test Involving a Random Number of Random Variables
• A New Proof of Some Results of Rényi and the Asymptotic Distribution of the Range of his Kolmogorov-Smirnov Type Random Variables
• Distributions of a M. Kac Statistic
• On Deviations between Theoretical and Empirical Distributions
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
• On the theory of order statistics

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