Renewal Tables: Tables of Functions Arising in Renewal Theory.

Abstract

The generalized cubic splining algorithm enables us to evaluate recursively-defined convolutions for a wide variety of distribution functions. The algorithm has been applied to evaluate the renewal function, variance function and the integral of the renewal function for five distributions (gamma, inverse Gaussian, lognormal, truncated normal and Weibull) for a wide range of values of the shape parameter. The results of the computations are discussed and a comparison is made with previous tabulations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA108264

Entities

People

  • Denis J. Mcconalogue
  • Ernest M. Scheuer
  • Laurence A. Baxter
  • Wallace R. Blischke

Organizations

  • University of Southern California

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Business Administration
  • Computer Programs
  • Computers
  • Conductive Polymers
  • Convolution Integrals
  • Distribution Functions
  • Gaussian Distributions
  • Gaussian Processes
  • Insensitive Explosives
  • New York
  • Normal Distribution
  • Plastic Explosives
  • Random Variables
  • Reliability
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Statistical inference.