On a nonparametric family of life distributions and its dual

DOI10.1016/0378-3758(94)90094-9zbMath0805.62017OpenAlexW2028726602MaRDI QIDQ1330230

Murari Mitra, Sujit K. Basu

Publication date: 6 February 1995

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(94)90094-9

zbMATH Keywords

exponential distributioncharacterizationconvexnegative exponential distributionbounds for momentsconcave functionsageingBFR distributionsclosure under weak convergenceequivalence of weak convergence and moment convergenceIDMRL class of distributionsnonparametric family of life distributionsNWBUE family

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (21)

A Bound For The Renewal Function Of A Process Driven By A Non-Monotonic Life Distribution Function ⋮ On the exact distribution of generalized Hollander-Proschan type statistics ⋮ Unnamed Item ⋮ SHARP BOUNDS FOR SURVIVAL PROBABILITY WHEN AGEING IS NOT MONOTONE ⋮ On the non-monotonic analogue of a class based on the hazard rate order ⋮ A review of tests for exponentiality with Monte Carlo comparisons ⋮ On non-monotonic ageing properties from the Laplace transform, with actuarial applications ⋮ On a class exhibiting trend change in average failure rate ⋮ Testing exponentiality against a trend change in mean time to failure in age replacement ⋮ On a non-monotonic ageing class based on the failure rate average ⋮ On some properties of distributions possessing a bathtub-shaped failure rate average ⋮ New nonparametric classes of distributions in terms of mean time to failure in age replacement ⋮ On some properties of the IDMRL class of life distributions ⋮ Monte Carlo comparison of tests of exponentiality against NWBUE alternatives ⋮ A change point estimation problem related to age replacement policies ⋮ A Hollander-Proschan type test when ageing is not monotone ⋮ Tests of non-monotonic stochastic aging notions in reliability theory ⋮ Shock models leading to non-monotonic ageing classes of life distributions ⋮ Exact and asymptotic tests of exponentiality against nonmonotonic mean time to failure type alternatives ⋮ On classes of life distributions based on the mean time to failure function ⋮ Reliability Shock Models: A Brief Excursion

Cites Work

• Unnamed Item
• Unnamed Item
• Testing exponentiality versus a trend change in mean residual life
• On weak convergence within the hnbue family of life distributions

This page was built for publication: On a nonparametric family of life distributions and its dual