CONTRIBUTIONS TO THE THEORY OF EXTREME VALUES

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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0670485

Entities

People

  • Robert M. Harris

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Bibliographies
  • Data Science
  • Distribution Functions
  • Information Science
  • New York
  • Notation
  • Operations Research
  • Order Statistics
  • Probability
  • Random Variables
  • Sequences
  • Stationary Processes
  • Statistics
  • Stochastic Processes
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Software Engineering
  • Theoretical Analysis.