Populations′ Studies Approach to Describing Age and Remaining Lifetime for Populations of Manufactured Items  
Author Maxim Finkelstein




Abstract We consider items that are incepted into operation having already a random (initial) age and define the corresponding remaining lifetime. We show that these random variables are identically distributed when the age distribution is equal to the equilibrium distribution of the renewal theory. Then we consider real populations of items that were incepted into operation at different instants of time and obtain some useful inequalities between the population age and the remaining lifetime using reasoning similar to that employed in population studies. We also discuss the aging properties of populations using different stochastic orders.


Keywords Random age, Remaining lifetime, Equilibrium distribution, production rate
    Article #:  22020
Proceedings of the 22nd ISSAT International Conference on Reliability and Quality in Design
August 4-6, 2016 - Los Angeles, California, U.S.A.