NUMERICAL METHODS IN RENEWAL THEORY,

Abstract

The report is a description of three classes of numerical procedures for performing renewal analyses. The three classes are: finite difference methods; methods based upon derivatives of the replacement distribution(s); and methods based upon moments of the replacement distribution(s). The methods are generally applicable to the types of replacement distributions commonly encountered in the areas of reliability and maintainability. Each method is illustrated by examples designed to explore the accuracy of the method and to demonstrate its relative advantages and disadvantages. As far as practicable this report is a self-contained exposition. General theorems of renewal theory and other analytical results are developed in the appendices. The FORTRAN programs implementing each method are included. (Author).

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1968
Accession Number
AD0828276

Entities

People

  • George Schlenker

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Reliability

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.
  • Systems Analysis and Design