Testing for the Goodness of Fit for the DMRL Class of Life Distributions

DOI10.1007/978-981-16-1368-5_9OpenAlexW3196543501MaRDI QIDQ5054141

Debasis Sengupta, Tanusri Ray

Publication date: 29 November 2022

Published in: Strategic Management, Decision Theory, and Decision Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-16-1368-5_9

zbMATH Keywords

mean residual lifeleast concave majorantleast favorable distributionconservative test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Statistics (62-XX) Testing in survival analysis and censored data (62N03) Reliability and life testing (62N05) Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Cites Work

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• Sharp bounds on DMRL and IMRL classes of life distributions with specified mean
• Mean residual life processes
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• A moment inequality for decreasing (increasing) mean residual life distributions with hypothesis testing application
• A family of test statistics for detecting monotone mean residual life
• On Testing Exponentiality Against DMRL Alternatives
• A class of tests for exponentiality against decreasing mean residual life alternatives
• Testing goodness of fit to the increasing failure rate family
• Testing goodness of fit to the increasing failure rate family with censored data
• Some tests against aging based on the total time on test transform
• The hnbue and hnwue classes of life distributions
• A new test for mean residual life times
• A family of test statistics for DMRL (IMRL) alternatives

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