Limiting Behaviour of the Mean Residual Life

Details Limiting Behaviour of the Mean Residual Life Limiting Behaviour of the Mean Residual Life

2004-11-12

arxiv.org/abs/math/0411276v1

Annals of the Institute of Statistical Mathematics, Vol. 55, No. 1, (2003), pp. 217--226. MR1965973 (2004b:62215)

Mathematics

Statistics Theory

19 pages

Scientific paper

10.1007/BF02530495

In survival or reliability studies, the mean residual life or life expectancy is an important characteristic of the model. Here, we study the limiting behaviour of the mean residual life, and derive an asymptotic expansion which can be used to obtain a good approximation for large values of the time variable. The asymptotic expansion is valid for a quite general class of failure rate distributions--perhaps the largest class that can be expected given that the terms depend only on the failure rate and its derivatives.

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