
Accession Number : AD0751261
Title : Statistical Contributions to Reliability Engineering,
Corporate Author : NEW YORK UNIV BRONX
Personal Author(s) : Dubey,Satya D.
Report Date : SEP 1972
Pagination or Media Count : 71
Abstract : In chapter 1 parametric and distributionfree techniques are developed to treat simultaneously any arbitrary set of multicensored 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 distributionfree results are derived which are useful within the context of certain life testing experiments. In chapter 5 a likelihood ratio test, based on rightcensored samples, is derived for testing the equality of location parameters of two exponential distributions when their common scale parameter is unknown. This has the wellknown 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)
Descriptors : (*RELIABILITY, *STATISTICAL ANALYSIS), STATISTICAL DISTRIBUTIONS, RANDOM VARIABLES, STOCHASTIC PROCESSES, INEQUALITIES, DECISION THEORY, THEOREMS
Subject Categories : Statistics and Probability
Mfg & Industrial Eng & Control of Product Sys
Distribution Statement : APPROVED FOR PUBLIC RELEASE