Superposition and Approximation in Renwal Theory.

Abstract

A so-called moment class of non-decreasing functions M(x) is defined and for a real constant nu < or = 0 the class of functions B(M;nu) exists. Renewal processes are considered and it is supposed the lifetime distribution function belongs to a class B(M;nu); approximations are then obtained to various moments of the renewal count N(t), the remainder terms bring in a related B-class. These results are used to tackle various questions concerned with superposed renewal processes.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA048182

Entities

People

  • Robert N. Rodriguez

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analytic Functions
  • Convolution
  • Covariance
  • Data Science
  • Distribution Functions
  • Fourier Series
  • Information Science
  • Intervals
  • Military Research
  • Monotone Functions
  • Probability
  • Random Variables
  • Sequences
  • Standards
  • Statistical Analysis
  • Statistics
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.