Skip to main content

WAITING TIMES WITHOUT MEMORY.

Publication ,  Journal Article
Durrett, RT; Ghurye, SG
Published in: J Appl Probab
January 1, 1976

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 Scholars

Published In

J Appl Probab

DOI

Publication Date

January 1, 1976

Volume

13

Issue

1

Start / End Page

65 / 75

Related Subject Headings

  • Statistics & Probability
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Durrett, R. T., & Ghurye, S. G. (1976). WAITING TIMES WITHOUT MEMORY. J Appl Probab, 13(1), 65–75. https://doi.org/10.1017/s0021900200049019
Durrett, R. T., and S. G. Ghurye. “WAITING TIMES WITHOUT MEMORY.J Appl Probab 13, no. 1 (January 1, 1976): 65–75. https://doi.org/10.1017/s0021900200049019.
Durrett RT, Ghurye SG. WAITING TIMES WITHOUT MEMORY. J Appl Probab. 1976 Jan 1;13(1):65–75.
Durrett, R. T., and S. G. Ghurye. “WAITING TIMES WITHOUT MEMORY.J Appl Probab, vol. 13, no. 1, Jan. 1976, pp. 65–75. Scopus, doi:10.1017/s0021900200049019.
Durrett RT, Ghurye SG. WAITING TIMES WITHOUT MEMORY. J Appl Probab. 1976 Jan 1;13(1):65–75.

Published In

J Appl Probab

DOI

Publication Date

January 1, 1976

Volume

13

Issue

1

Start / End Page

65 / 75

Related Subject Headings

  • Statistics & Probability
  • 0104 Statistics
  • 0102 Applied Mathematics