EXPONENTIAL LIFE TEST PROCEDURES WHEN THE DISTRIBUTION HAS MONOTONE FAILURE RATE

Abstract

A number of tests and estimates for mean life and other parameters derived under the exponential distribution assumption are studied under the alternative condition that the distribution has an increasing (decreasing) failure rate. The tests and estimates considered are, for the most part, based on censored and truncated samples. It is shown that the usual acceptance sampling procedures based on mean life generally favor the producer (consumer) in the IFR (DFR) case. However, acceptance sampling procedures based on the qth quantile tend to favor the consumer in the IFR case when q is small. The usual estimates for the mean based on the exponential assumption are positively (negatively) biased when the distribution is IFR (DFR). Many of these results hold under the weaker assumption that the distribution has an increasing (decreasing) failure rate on the average.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0636125

Entities

People

  • Frank Proschan
  • Richard E. Barlow

Organizations

  • Boeing

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Confidence Limits
  • Consumers
  • Data Science
  • Inequalities
  • Information Science
  • Life Tests
  • Mathematics
  • New York
  • Order Statistics
  • Probability
  • Probability Distributions
  • Quality Control
  • Random Variables
  • Reliability
  • Sampling
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Statistical inference.