 On the crossings of reliability measuresRamesh C. Gupta and Pushpa L. Gupta Statistics & Probability Letters, 2000, vol. 46, issue 3, 301-305 Abstract: The proportional hazards model has been extensively used in the literature to model failure time data. However, there are many practical situations where, in comparing two groups or treatments, the proportional hazard assumption is not satisfied. In fact, the two hazards cross at one point or even more than one point. Generally, the survival (reliability) data are analyzed by three reliability measures viz failure rate, the survival function and the mean residual life function and theoretically these measures are equivalent, i.e. knowledge of one implies the knowledge of others. In this paper we study the crossings of the survival functions and the mean residual life functions in case the two hazards cross at one or two points. It is shown that, in both the cases, the number of crossings do not exceed the number of crossings of the hazard functions. The location of these crossings is also examined in relation to the crossings of the hazard functions. Keywords: Failure; rates; Survival; functions; Mean; residual; life; functions (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:46:y:2000:i:3:p:301-305 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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