Bathtub and Related Failure Rate Characterizations

Abstract

Sufficient conditions are obtained which provide that a lifetime density has a bathtub shaped failure rate. Analogous conditions handle increasing, decreasing, and upside-down bathtub shaped failure rates. Application of these results to exponential families of densities is particularly straigthtforward and effective. Examples are furnished which introduce new bathtub models and illustrate the use of the general results for existing models. Examples involving mixtures are considered. Maximum likelihood estimation for one of the bathtub models is described.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1978
Accession Number
ADA072626

Entities

People

  • Ronald E. Glaser

Organizations

  • University of California, Davis

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Computations
  • Data Science
  • Electron Tubes
  • Equations
  • Information Science
  • Maximum Likelihood Estimation
  • New York
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Statistical Samples
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Climatology
  • Life Cycle Cost Analysis