Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average

DOI10.1214/aos/1176346602zbMath0605.62036OpenAlexW2071402202MaRDI QIDQ1083794

Frank Proschan, R. A. Boyles, Albert W. Marshall

Publication date: 1985

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346602

zbMATH Keywords

maximum likelihood estimationMLEinconsistencyDFRAIFRAincreasing failure ratelife distributionincreasing failure rate average

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Reliability and life testing (62N05)

Related Items (10)

Estimation of a distribution function with increasing failure rate average ⋮ Asymptotical Properties of Nonparametric Point Estimators Based on Complexly Structured Reliability Data with Right-Censoring (Part1) ⋮ Estimators of a distribution function with increasing failure rate average ⋮ Further moments inequalities of life distributions with hypothesis testing applications: The IFRA, NBUC and DMRL classes. ⋮ Nonparametric quantile estimation under order constraints ⋮ Inconsistency of the MLE for the Joint Distribution of Interval‐Censored Survival Times and Continuous Marks ⋮ Inconsistency of the MLE and inference based on weighted LS for LARCH models ⋮ Consistent likelihood-based estimation of a star-shaped distribution ⋮ On nonparametric maximum likelihood estimation of a distribution uniformly stochastically smaller than a standard ⋮ Estimating a distribution function subject to a stochastic order restriction: a comparative study

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