Convergence of Progressively Censored Likelihood Ratio Processes in Life-Testing,

Abstract

The weak convergence of certain (randomly stopped) likelihood ratio processes based on the ordered observations corresponding to a random sample is considered in the situation where the hazard rate function of the underlying distribution is separable in its variables. It is shown that under mild conditions on the stopping variables the log-likelihood function is locally asymptotically normal. Some remarks pertaining to the general ease and applications of the theorems proved are also discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA087057

Entities

People

  • Joseph C. Gardiner

Organizations

  • Michigan State University

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Biomedical Research
  • Clinical Trials
  • Convergence
  • Data Science
  • Distribution Functions
  • Information Science
  • Life Tests
  • Order Statistics
  • Probability
  • Probability Density Functions
  • Random Variables
  • Sampling
  • Sequences
  • Statistical Samples
  • Statistics
  • Theorems
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Statistical inference.