Accession Number:

AD0670485

Title:

CONTRIBUTIONS TO THE THEORY OF EXTREME VALUES

Descriptive Note:

Research rept.

Corporate Author:

CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s):

• Harris, Robert

Report Date:

1968-04-01

Pagination or Media Count:

46.0

Abstract:

Extreme value distribution laws are obtained for the lifetimes of multi-component systems with replaceable components, under various assumptions on the asymptotic relationship between number of components in the system and number of spare components. Results are given for limiting distribution laws of order statistics from nonhomogeneous samples and samples of random size, and applied to the superposition of renewal processes. An attempt is made to put extreme value theory into a general framework using the notion of a coherent structure, and some new results utilizing this idea are presented.

Descriptors:

• *REPLACEMENT THEORY
• *STATISTICAL PROCESSES
• DISTRIBUTION FUNCTIONS
• LIFE EXPECTANCY(SERVICE LIFE)
• PROBABILITY
• RANDOM VARIABLES
• SAMPLING
• SEQUENCES(MATHEMATICS)
• THESES

Subject Categories:

• Operations Research
• Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE