Uniform strong consistent estimation of an IFRA distribution function

DOI10.1006/jmva.1994.1019zbMath0796.62086OpenAlexW2066524672MaRDI QIDQ1323854

Francisco J. Samaniego, Javier Rojo Jiménez

Publication date: 11 October 1994

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

Full work available at URL: https://doi.org/10.1006/jmva.1994.1019

zbMATH Keywords

strong convergenceuniform convergencemediancensoringhazard functionregularly varying tailsKaplan-Meier estimatoroptimal rates of convergencemean-squared errorasymptotic confidence intervalstails of distributionsempirical survival functionaverage majorantaverage minorantGIFRAMgreatest increasing failure rateIFRA estimatorIFRA survival functionSIFRAMsmallest increasing failure rate

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Monte Carlo methods (65C05) Strong limit theorems (60F15) Reliability and life testing (62N05)

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Estimation of a distribution function with increasing failure rate average ⋮ Nonparametric estimation of the dependence function in bivariate extreme value distributions

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