Further Monotonicity Properties for Specialized Renewal Processes.

Abstract

Define Z(t) to be the forward recurrence time at t for a renewal process with interarrival time distribution, F, which is assumed to be IMRL (increasing mean residual life). It is shown that E phi (z(t)) is increasing in t > or = 0 for all increasing convex phi. An example demonstrates that Z(t) is not necessarily stochastically increasing nor is the renewal function necessarily concave. Both of these properties are known to hold for F DFR (decreasing failure rate). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA075058

Entities

People

  • Mark O. Brown

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Convolution
  • Identities
  • Mathematics
  • Monitoring
  • Random Variables
  • Residuals
  • Scientific Research
  • Security
  • Splitting
  • Stationary
  • Statistics
  • Test Methods
  • Universities

Fields of Study

  • Mathematics

Readers

  • Solar Photovoltaics and Thermoelectric Devices.
  • Statistical inference.