Limit distribution of spacings statistics when the sample size is random

DOI10.1016/0167-7152(89)90026-6zbMath0681.62028OpenAlexW2022604045MaRDI QIDQ1823579

Girish Aras, Xian Zhou, Sreenivasa Rao Jammalamadaka

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-7152(89)90026-6

zbMATH Keywords

order statisticsPoisson processrenewal processgoodness of fit testuniform spacingsDoeblin-Anscombe theoremgeneral class of symmetric statisticsrandom sample size version of the central limit theorem

Mathematics Subject Classification ID

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

Cites Work

• Asymptotic efficiencies of spacings tests for goodness of fit
• On powerful distributional tests based on sample spacings
• Weak convergence of empirical distribution functions of random variables subject to perturbations and scale factors
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