Limiting behaviour of the mean residual life
Copyright policy )Limiting behaviour of the mean residual life
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.
19 pages
- University of Maine United States
Reliability and life testing, asymptotic expansion, Asymptotic distribution theory in statistics, Survival analysis and censored data, Mathematics - Statistics Theory, mean residual life, Statistics Theory (math.ST), limiting behaviour, FOS: Mathematics, failure rate, hazard function
Reliability and life testing, asymptotic expansion, Asymptotic distribution theory in statistics, Survival analysis and censored data, Mathematics - Statistics Theory, mean residual life, Statistics Theory (math.ST), limiting behaviour, FOS: Mathematics, failure rate, hazard function
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