Limit theorems for the logarithm of sample spacings

DOI10.1016/0167-7152(94)00156-3zbMath0828.60021OpenAlexW2039208639MaRDI QIDQ1897071

Marjorie G. Hahn, Yongzhao Shao

Publication date: 12 December 1995

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00156-3

zbMATH Keywords

entropycentral limit theoremsstrong laws of large numberssample spacingsinformation-type inequalities

Mathematics Subject Classification ID

Strong limit theorems (60F15) Characterization and structure theory of statistical distributions (62E10)

Related Items

Estimation of Entropy and Mutual Information ⋮ Strong Limit Theorems for Sums of Logarithms of High Order Spacings ⋮ Limit laws for disparities of spacings ⋮ Limit Theorems for φ-Divergences Based onk-Spacings ⋮ Gaussian limits for generalized spacings ⋮ On the consistency of the maximum spacing method

Cites Work

• Unnamed Item
• Unnamed Item
• The Asymptotic Power of Certain Tests of Fit Based on Sample Spacings
• On the logarithms of high-order spacings
• Entropy and maximal spacings for random partitions
• Logarithms of Sample Spacings
• Note on the Consistency of the Maximum Likelihood Estimate
• On Information and Sufficiency
• On a Class of Problems Related to the Random Division of an Interval