A note on limiting distributions for spacings statistics

DOI10.1007/BF00533817zbMath0396.62013OpenAlexW1980192706MaRDI QIDQ4179668

James A. Koziol

Publication date: 1980

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533817

zbMATH Keywords

Asymptotic NormalityLimiting DistributionsHajek's Projection MethodSpacings Statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)

Related Items (7)

On the asymptotic normality of functions of uniform spacings ⋮ Divisible statistics ⋮ Strong approximations of quadratic sums of uniform spacings ⋮ Limit theorems for sums of general functions of m-spacings ⋮ An alternative formulation of Neyman's smooth goodness of fit tests under composite alternatives ⋮ Strong bounds for multidimensional spacings ⋮ The Berry-Esseen theorem for functions of uniform spacings

Cites Work

• Unnamed Item
• Linear functions of order statistics with smooth weight functions
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• Linear Functions of Order Statistics
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives II
• Some Basic Theorems for Developing Tests of Fit for The Case of the Non-Parametric Probability Distribution Function, I
• On the Asymptotic Distribution of the Sum of Powers of Unit Frequency Differences
• On a Class of Problems Related to the Random Division of an Interval

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