Limit theorems for the maximum likelihood estimate under general multiply type II censoring

DOI10.1007/BF00052330zbMath1121.62538MaRDI QIDQ1373262

Heliang Fei, Fan Hui Kong

Publication date: 18 November 1997

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximum likelihood estimationlaw of large numbersorder statisticcentral limit theoremmultiply type II censoring

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12)

Related Items (11)

Maximum likelihood estimators based on discrete component lifetimes of a \(k\)-out-of-\(n\) system ⋮ Likelihood inference for geometric lifetimes of components of \(k\)-out-of-\(n\) systems ⋮ Asymptotic properties of maximum likelihood estimators based on progressive type-II censoring ⋮ Bounding maximum likelihood estimates based on incomplete ordered data ⋮ Posterior computations based on sample quantiles: one- and two-parameter exponential cases ⋮ Rank Tests for Two-Sample Problems Based on Multiple Type-II Censored Data ⋮ An approximate likelihood of right censoring from Maxwell-Boltzmann distribution ⋮ Highest posterior density estimation from multiply censored Pareto data ⋮ Bayes estimation under exponentially weighted minimum expected loss function from multiply Type-II censored Rayleigh data ⋮ Bayes estimation of a two-parameter geometric distribution under multiply type II censoring ⋮ Bayesian inference from type II doubly censored Rayleigh data

Cites Work

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• Estimation of the Mean and Standard Deviation of the Logistic Distribution Based on Multiply Type-II Censored Samples
• Asymptotic Properties of Functions of Spacings
• The Asymptotics of Maximum Likelihood and Related Estimators Based on Type II Censored Data
• Asymptotic Properties of a Solution to the Likelihood Equation With Life- Testing Applications
• Estimation for one- and two-parameter exponential distributions under multiple type-II censoring
• Estimation for two-parameter weibull distribution and extreme-value distribution under multiply type-II censoring
• Estimation of the location and scale parameters of the extreme value distmbution based on multiply type-II censored samples
• Internal estimations for one-and two-parameter exponential distributions under multiple type-II censoring
• Limit theorems for sums of general functions of m-spacings
• Tables for Obtaining Weibull Confidence Bounds and Tolerance Bounds Based on Best Linear Invariant Estimates of Parameters of the Extreme-Value Distribution
• Maximum Likelihood Estimation in Truncated Samples

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