On the Mean Residual Life Function in Survival Studies

  • Ramesh C. Gupta
Part of the NATO Advanced study Institutes Series book series (ASIC, volume 79)


In reliability studies, the expected additional life time given that a component has survived until time t is called the mean residual life function (MRLF). This MRLF determines the distribution function uniquely. In this paper an interpretation of MRLF in renewal theory is presented and some characterizations of the exponential distribution are obtained. Finally, considering the general MRLF, a method is developed for obtaining the mixing distribution when the original distribution is exponential. Some examples are discussed, in one of which Morrison’s (1978) result is obtained as a special case.

Key Words

mean residual life function failure rate survival analysis characterizations renewal process mixture 


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Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • Ramesh C. Gupta
    • 1
  1. 1.Department of MathematicsUniversity of Maine at OronoOronoUSA

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