Preservation of failure rate function shape in weighted distributions

Ramesh Gupta and Barry Arnold ()

AStA Advances in Statistical Analysis, 2016, vol. 100, issue 1, 20 pages

Abstract: This paper deals with the monotonicity properties of the failure rate of weighted distributions in relation to the corresponding properties of the base line distribution. Conditions are developed for the preservation of the monotonicity of the failure rate under weighting in the case of monotonic as well as non-monotonic failure rates. Several examples are provided. Copyright Springer-Verlag Berlin Heidelberg 2016

Keywords: Log-concavity; Hazard rate; Monotonicity; Bathtub (upside-down bathtub)-shaped failure rate; Hidden truncation; Conditional specification (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:alstar:v:100:y:2016:i:1:p:1-20

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DOI: 10.1007/s10182-015-0244-x

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