REMARKS ON RENEWAL THEORY WHEN THE QUALITY OF RENEWALS VARIES,

Abstract

In spite of its simple 'raw ingredients,' the theory of renewal processes has produced many very subtle mathematical investigations and supports a very elaborate structure of generalizations, extensions, and applications. The raw ingredients referred to consist of an infinite sequence of independent and identically distributed, non-negative random variables (X sub n); in the original renewal theory these random variables represent lifetimes of successive renewals of some industrial item subject to failure. This paper is primarily concerned with a mathematical model called the model of sequentially geometric improvement.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0661299

Entities

People

  • Walter L. Smith

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Mathematical Models
  • Mathematics
  • Models
  • Random Variables
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.
  • Systems Analysis and Design