Asymptotic nnormality of a class of time-sequential statistics and applications

DOI10.1080/03610927808827629zbMath0378.62048OpenAlexW1968374856MaRDI QIDQ4157830

Pranab Kumar Sen, Joseph C. Gardiner

Publication date: 1978

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610927808827629

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Stopping times; optimal stopping problems; gambling theory (60G40) Reliability and life testing (62N05)

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Bayes and empirical bayes estimation of survival function under progressive censoring, Progressively censored tests for clinical experiments and life testing problems based on weighted empirical distributions, Asymptotic normality of a variance estimator of a linear combination of a function of order statistics

Cites Work

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• Weak convergence of progressively censored likelihood ratio statistics and its role in asymptotic theory of life testing
• A law of the iterated logarithm for functions of order statistics
• Functions of Order Statistics
• Some Theorems Relevant to Life Testing from an Exponential Distribution
• Sequential Life Tests in the Exponential Case