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http://hdl.handle.net/10016/8397
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| Title: | Characterization of bathtub distributions via percentile residual life functions |
| Author(s): | Franco-Pereira, Alba M.
Lillo, Rosa E.
Romo, Juan |
| Publisher: | Universidad Carlos III de Madrid. Departamento de Estadística |
| Issued date: | May-2010 |
| URI: | http://hdl.handle.net/10016/8397 |
| Abstract: | In reliability theory and survival analysis, many set of data are generated by distributions with bathtub shaped hazard rate functions. Launer (1993) established several relations between the behaviour of the hazard rate function and the percentile residual life function. In particular, necessary conditions were given for a special type of bathtub distributions in terms of percentile residual life functions. The purpose of this paper is to complete the study initiated by Launer (1993) and to characterize (necessary and sufficient conditions) all types of bathtub distributions. |
| Serie / Nº.: | UC3M Working papers. Statistics and Econometrics
10-12 |
| Keywords: | Percentile residual life
Bathtub hazard rate
Aging notions |
| Appears in Collections: | DES - Working Papers. Statistics and Econometrics. WS
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