On Discrete Failure Models.

Abstract

In some situations, discrete failure time distributions are more appropriate to model lifetimes than continuous distributions. Very few results for the discrete case have been given in the literature. This paper provides three families of discrete parametric lifetime distribution which are quite versatile in fitting Increasing Failure Rate (IFR) and Decreasing Failure Rate (DFR), and constant failure rate models to either uncensored or right-censored life-test data. Teh maximum likelihood estimation (MLE) of parameters, survival probabilities, and mean lifetimes is investigated, and the MLEs are shown to be easily computed by simple numerical methods. An example is given for each of the models, allowing the comparison of the proposed models. The example illustrates that the discrete models presented can provide a better fit to discrete data than previously proposed discrete distributions.

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Document Details

Document Type
Technical Report
Publication Date
Jul 17, 1984
Accession Number
ADA145579

Entities

People

  • J. D. Spurrier
  • William J. Padgett

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Data Science
  • Discrete Distribution
  • Life Tests
  • Mathematics
  • Maximum Likelihood Estimation
  • New York
  • Probability
  • Random Variables
  • Reliability
  • South Carolina
  • Statistical Analysis
  • Statistical Inference
  • Statistical Samples
  • Statistics
  • United States

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Statistical inference.