Accession Number:

AD0751261

Title:

Statistical Contributions to Reliability Engineering,

Descriptive Note:

Corporate Author:

NEW YORK UNIV BRONX

Personal Author(s):

Report Date:

1972-09-01

Pagination or Media Count:

71.0

Abstract:

In chapter 1 parametric and distribution-free techniques are developed to treat simultaneously any arbitrary set of multi-censored failure data and some of their practical implications are briefly discussed. In chapter 2 some general properties of probability limits on the ith order statistic 1 or i or n from any continuous failure law are briefly investigated. In chapter 3 interrelationships between 100 alpha percent 0 alpha 1 probability limits on the ith order statistics 1 or i or n from various failure distributions are established. This yields suitable transformations indicating interesting connections between various distributions including Weibull, Burr and others. In chapter 4 some distribution-free results are derived which are useful within the context of certain life testing experiments. In chapter 5 a likelihood ratio test, based on right-censored samples, is derived for testing the equality of location parameters of two exponential distributions when their common scale parameter is unknown. This has the well-known F distribution under the null hypothesis. The power functions of the likelihood ratio test are also derived and it is shown that this test is unbiased. Author

Subject Categories:

  • Statistics and Probability
  • Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE