Some characterization of distributions by functions of failure rate and mean residual life
Monotonicity, Residual moments, Uniqueness, Variance residual life
Communications in Statistics - Theory and Methods
In reliability studies, it is well known that the failure rate, the mean residual life function, and their product characterize the distribution. In this article, we show that their ratio also characterizes the distribution, This result is then utilized to show that the second residual moment characterizes the distribution. A general uniqueness theorem is proved to show that the variance residual life function characterizes the distribution. An example is presented to illustrate the results. Finally, some applications, of the results established earlier, to nonhomogeneous Poisson processes are provided.
Original Publication Date
DOI of published version
Gupta, Ramesh C. and Kirmani, S. N.U.A., "Some characterization of distributions by functions of failure rate and mean residual life" (2004). Faculty Publications. 3064.