On the normal approximation of an estimate of the mean residual life of a multicomponent system

DOI10.1016/0378-3758(83)90014-9zbMath0509.62090OpenAlexW2054579111MaRDI QIDQ1838263

Ibrahim A. Ahmad

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0378-3758(83)90014-9

zbMATH Keywords

U-statisticsnormal approximationnonparametricmulticomponent systemorder of normal approximationestimate of mean residual life function

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (1)

The Berry-Esseen bound for StudentizedU-statistics

Cites Work

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• The order of the normal approximation for a Studentized U-statistic
• On the Berry-Esseen theorem for random U-statistics
• A note on weak convergence of mean residual life of stationary mixing random variables
• On \(L^p\)-convergence of \(U\)-statistics
• Estimation of a biometric function
• The Berry-Esseen theorem for U-statistics
• Limiting Behavior of Posterior Distributions when the Model is Incorrect
• Mean life of series and parallel systems
• The accuracy of the normal approximation for minimum contrast estimates
• A Class of Statistics with Asymptotically Normal Distribution

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