Accession Number:

ADA071598

Title:

Multidimensional IFRA Processes.

Descriptive Note:

Research rept.,

Corporate Author:

PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

• Block,Henry W.
• Savits,Thomas H.

Report Date:

1979-03-01

Pagination or Media Count:

22.0

Abstract:

Two types of multidimensional processes are defined. The first of these generalizes a univariate IFRA process due to Ross and relates to a multivariate concept of IFRA due to Esary and Marshall. The second of these relates to a multivariate concept of IFRA due to the present authors. Decompositions for multistate monotone structure functions are given and behavior of nonincreasing stochastic processes such as those given above is analyzed. Various coherence assumptions for multistate systems are also analyzed.

Descriptors:

• *STOCHASTIC PROCESSES
• *MULTIVARIATE ANALYSIS
• *FAILURE
• LIFE EXPECTANCY(SERVICE LIFE)
• PROBABILITY DISTRIBUTION FUNCTIONS

Subject Categories:

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

Distribution Statement:

APPROVED FOR PUBLIC RELEASE