On Testing Equality of Two Exponential Distributions under Combined Type II Censoring.

Abstract

The problem of testing equality of the scale parameters of two exponential distributions is considered under a combined sample type II censoring scheme that has been extensively treated in nonparametric inference. Sufficiency and invariance considerations lead to a pair of statistics, namely, the proportions of failure count and the total time on test of the first sample to those of the combined sample. Exact distribution and moment properties are discussed, and asymptotic joint normality under local alternatives is established in a general framework. The invariant test that maximizes the Pitman efficacy is seen to be based on the difference between these two proportions, and is asymptotically equivalent to the likelihood ratio test. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA080913

Entities

People

  • G. K. Bhattacharyya
  • Kishan G. Mehrotra

Organizations

  • University of Wisconsin Madison Department of Statistics

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Invariance
  • Mathematics
  • Normality
  • Plastic Explosives
  • Statistics
  • Three Dimensional
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms