Title
Characterization of probability distributions similar to the exponential
Document Type
Article
Publication Date
9-1-1993
Publication Title
The Canadian Journal of Statistics
Abstract
A concept of the lack‐of‐memory property at a given time point c > 0 is introduced. It is equivalent to the concept of the almost‐lack‐of‐memory (ALM) property of the random variables. A representation theorem is given for the cumulative distribution function of such random variables as well as for corresponding decompositions in terms of independent random variables. It is shown that a periodic failure rate for a random variable is equivalent to the ALM property. In addition some properties of the service time of an unreliable server are observed.
Volume
21
Issue
3
First Page
269
Last Page
276
DOI
10.2307/3315752
ISSN
0319-5724; 1708-945X/e
Rights
© 1993 Statistical Society of Canada
Recommended Citation
Chukova, Stefanka; Dimitrov, Boyan N.; and Khalil, Zohel, "Characterization of probability distributions similar to the exponential" (1993). Mathematics Publications. 24.
https://digitalcommons.kettering.edu/mathematics_facultypubs/24
Comments
Also published as as Dimitrov, B., Chukova, S. and Khalil, Z., Characterization of probability distributions similar to the exponential, Tech. Report, Concordia Univ. # 2, 1992, p. 1 - 29.