Journal Article

A waiting time without memory, or age-independent residual life-time, is a positive-valued random variable T with the property that for any x, y greater than 0, given that T greater than x, the conditional probability of T greater than x plus y is the same as the unconditional probability of T greater than y; in other words, the physical process operates as if it has no memory concerning the successive occurrences of a certain event. The paper investigates the consequences of defining the property of lack of memory on more general time-domains than the positive reals. As a side issue, there is discussion of a stochastic variation of Cauchy's functional equation.

Duke Authors

Cited Authors

  • Durrett, RT; Ghurye, SG

Published Date

  • January 1, 1976

Published In

  • J Appl Probab

Volume / Issue

  • 13 / 1

Start / End Page

  • 65 - 75

Citation Source

  • Scopus