Local asymptotic normality for progressively censored likelihood ratio statistics and applications

DOI10.1016/0047-259X(82)90017-3zbMath0496.62029OpenAlexW2058392496MaRDI QIDQ1169990

Joseph C. Gardiner

Publication date: 1982

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(82)90017-3

zbMATH Keywords

local asymptotic normalityclinical trialsLANlife-testingstopping variablesprogressively censored likelihood ratio statistics

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Sequential statistical methods (62L99) Convergence of probability measures (60B10)

Related Items (2)

Likelihood process in parametric model of censored data with staggered entry-asymptotic properties and applications ⋮ Approximation of the likelihood ratio statistics in the model of competing risks under random censoring from the right

Cites Work

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• Asymptotic theory for analyzing dose-response survival data with application to the low-dose extrapolation problem
• Asymptotic expansion of the log-likelihood function based on stopping times defined on a Markov process
• Weak convergence of progressively censored likelihood ratio statistics and its role in asymptotic theory of life testing
• Functional limit theorems for dependent variables
• Dependent central limit theorems and invariance principles
• Asymptotic distribution of the likelihood function in the independent not identically distributed case
• A Note on the LargeSample Behaviour of Extreme Sample Values from Distribution with Finite EndPoints
• Sample size, parameter rates and contiguity the I.I.D. case
• Local Asymptotic Normality for Non-Identically Distributed Observations
• Asymptotic distribution of the log-likelihood function for stochastic processes
• Asymptotic Behavior of Statistical Estimators in the Smooth Case. I. Study of the Likelihood Ratio
• Contiguity of Probability Measures

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