Maximum Likelihood Estimation for Two Parameter Decreasing Failure Rate Distributions Using Censored Data.

Abstract

Problems of maximum likelihood estimation, for shape and scale parameters from certain decreasing hazard rate distributions which are typically mixed-exponential or work-hardened, are discussed. Sufficient conditions on the mixing distribution are given that guarantee regular behavior of the hazard rate; this ensures, even with highly censored data, that the MLE's exist whenever the sample satisfies a certain condition quite likely in samples from DHR distribution; otherwise a constant hazard rate is assumed. Some computational methods are discussed and applications made. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA100951

Entities

People

  • Janet M. Myhre
  • Sam C. Saunders

Organizations

  • Claremont McKenna College

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Computational Science
  • Data Science
  • Data Sets
  • Equations
  • Failure Mode And Effect Analysis
  • Information Science
  • Integrated Circuits
  • Life Tests
  • Manufacturing
  • Maximum Likelihood Estimation
  • Military Research
  • Probabilistic Models
  • Probability
  • Quality Control
  • Reliability
  • Resistance
  • Statistical Tests

Fields of Study

  • Mathematics

Readers

  • Statistical inference.