LIKELIHOOD RATIO TESTS FOR RESTRICTED FAMILIES

Abstract

Likelihood ratio tests for the problem: H0: F epsilon G1 versus H1: F epsilon G- G1 are defined for certain nonparametric families of distributions G and G1. In particular the likelihood ratio test is defined and shown to be unbiased when G1 denotes the exponential distributions (possibly truncated) and G denotes the distributions with increasing failure rate. Comparisons are made with competing tests. The problem of testing for increasing failure rate average is also examined.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0655200

Entities

People

  • Richard E. Barlow

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Computations
  • Data Science
  • Estimators
  • Information Science
  • Maximum Likelihood Estimation
  • Monte Carlo Method
  • Numbers
  • Operations Research
  • Order Statistics
  • Sequences
  • Statistical Algorithms
  • Statistical Inference
  • Statistical Samples
  • Statistics
  • Stochastic Processes
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Aerospace Test and Evaluation
  • Mechanical Engineering/Mechanics of Materials.
  • Regression Analysis.