
Accession Number : AD0786749
Title : Evaluation of Systems Specified to Work at a High Level of Reliability.
Descriptive Note : Technical rept.,
Corporate Author : TEXAS A AND M UNIV COLLEGE STATION
Personal Author(s) : Perrouin,Luc
Report Date : AUG 1974
Pagination or Media Count : 38
Abstract : The principal objective of this thesis was to develop a procedure yielding exact and sharp upper and lower bounds for the probability (P sub r) (h(x) (> or =) H). In order to achieve this, Section 2 presents the derivation of an approximate distribution of a linear combination of noncentral chisquared statistics with one degree of freedom which is particularly suited for a numerical evaluation. Section 3 derives a second order Taylor expansion of the function h(x), as an approximation to h(x) and then applies to this expansion the results of the preceeding Section 2. Section 4 presents a particular case which is of great importance in distribution theory although it is only of moderate interest from the reliability point of view. The general method of Section 3 is applied to a particular choice of the strata, and an alternative branch and bound method is developed in a special case. (Author)
Descriptors : *Reliability, *Statistical analysis, Probability, Numerical integration, Monte Carlo method, Degrees of freedom, Sampling
Subject Categories : Statistics and Probability
Mfg & Industrial Eng & Control of Product Sys
Distribution Statement : APPROVED FOR PUBLIC RELEASE