Bathtub Distributions
Abstract
In the last chapter, we considered models in which the hazard rate function and mean residual function were monotone. There are several practical situations wherein these reliability functions exhibit non-monotone behaviour. Important among them are distributions which have hazard rates that are bathtub and upside-down bathtub shaped periodic, polynomial type, roller-coaster shaped, etc. This chapter is devoted to the study of distributions possessing such hazard rates and their properties. We first consider bathtub-shaped hazard rates and non-monotone mean residual life functions and their inter-relationships. Various distributions studied in literature in this connection are reviewed. Data sets ...
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