Accession Number:

AD0763712

Title:

Shock Models with Underlying Birth Process,

Descriptive Note:

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

Report Date:

1973-06-01

Pagination or Media Count:

18.0

Abstract:

The paper extends results of Esary, Marshall, and Proschan 1973, Ann. of Probability, and Abdel-Hameed and Proschan 1972, FSU Statistics Report M243. The authors consider the life distribution of a device subject to a sequence of shocks occurring randomly in time according to a nonstationary pure birth process given that k shocks have occurred in 0,t, the probability of a shock occurring in t,tdelta is lambda sub k lambda tdelta odelta. The authors show that various fundamental classes of life distributions such as those with increasing failure rate, or those with the new better than used property, etc. are obtained under appropriate assumptions on lambda sub k, lambda t, and on the probability of surviving a given number of shocks. Author

Subject Categories:

  • Statistics and Probability
  • Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE