Accession Number : AD0648182

Title :   GENERAL RENEWAL ANALYSIS,

Corporate Author : ARMY WEAPONS COMMAND ROCK ISLAND ILL WEAPONS OPERATIONS RESEARCH OFFICE

Personal Author(s) : Schlenker,George

Report Date : JAN 1967

Pagination or Media Count : 59

Abstract : The report describes a general procedure for finding an approximation to the n th order failure distribution using orthogonal polynomials. Applications are found in renewal analysis. The method requires knowledge of only the statistical moments of the primary failure distribution. As an illustration of the accuracy of the approximation, the exponential distribution and its first six convolutions are approximated by Laguerre polynomials and compared with the actual probability density functions--gamma functions, in this case. The case of the log-normal distribution is also worked out for a selected set of population parameters. (Author)

Descriptors :   (*OPERATIONS RESEARCH, *WEAPON SYSTEMS), (*STATISTICAL PROCESSES, OPERATIONS RESEARCH), DISTRIBUTION THEORY, COMPUTER PROGRAMS, PROBABILITY, FAILURE(MECHANICS)

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE