Estimation of a distribution function with increasing failure rate average

DOI10.1016/J.JSPI.2020.09.002zbMath1460.62169OpenAlexW3101793477MaRDI QIDQ830720

Hari Mukerjee, Hammou El Barmi, Ganesh Malla

Publication date: 7 May 2021

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2020.09.002

zbMATH Keywords

convergence in distributionuniform consistencyarg max theoremcumulative failure rate

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Characterization and structure theory of statistical distributions (62E10)

Related Items (2)

Properties of increasing odds rate distributions with a statistical application ⋮ Testing convexity of the generalised hazard function

Cites Work

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• Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average
• Estimators of a distribution function with increasing failure rate average
• Uniform strong consistent estimation of an IFRA distribution function
• Isotonic estimation and rates of convergence in Wicksell's problem
• Weak convergence and empirical processes. With applications to statistics
• Bootstrap confidence intervals for isotonic estimators in a stereological problem
• A Kiefer-Wolfowitz theorem for convex densities
• Maximum Likelihood Estimation for Distributions with Monotone Failure Rate
• Estimation from Accelerated Life Tests

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