Preservation of generalized bathtub-shaped functions

Author:

Savits Thomas H.

Abstract

Block, Savits and Singh previously presented a preservation result for bathtub-shaped functions. In this paper, we strengthen and extend their results to a class of functions which allow for more than one change of monotonicity. Various applications are also considered.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. BATHTUB-TYPE CURVES IN RELIABILITY AND BEYOND;Australian & New Zealand Journal of Statistics;2007-09

2. Mean residual life functions of finite mixtures, order statistics and coherent systems;Metrika;2007-05-04

3. Mixtures of normal distributions: Modality and failure rate;Statistics & Probability Letters;2005-10

4. Asymptotic baseline of the hazard rate function of mixtures;Journal of Applied Probability;2005-09

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