The exact and approximate distributions of linear combinations of selected order statistics from a uniform distribution

DOI10.1007/BF02481076zbMath0577.62016MaRDI QIDQ1065471

Tadashi Matsunawa

Publication date: 1985

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

zbMATH Keywords

order statisticsasymptotic normalityuniform distributionlinear combinationsBerry-Esseen's theoremgamma variablesNormal approximation

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

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Cites Work

• Some strong epsilon-equivalence of random variables
• A characterization of the asymptotic normality of linear combinations of order statistics from the uniform distribution
• Linear functions of order statistics with smooth weight functions
• Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation
• Upper and Lower Probabilities Generated by a Random Closed Interval
• Asymptotic Normality of Linear Combinations of Functions of Order Statistics
• The Distribution of Linear Combinations of Order Statistics from the Uniform Distribution
• An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality
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