Accession Number : AD0481357

Title :   ANALYSIS OF UNBIASED ESTIMATORS USING GEOMETRIC FAILURE DATA.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Quitmeyer, Herman C.

Report Date : 1964

Pagination or Media Count : 17

Abstract : An important example of an event which obeys the geometric probability law with parameter theta is the number of cycles required to obtain the first failure of an item, where the success of each cycle is independent with probability of success theta. The true probability of success, in manufactured items, is usually unknown and must be estimated on the basis of observed data obtained from a test of sample items. An important estimator for this probability is the unbiased estimator, defined as that estimator whose expected value equals the true value of the parameter. In this study, an unbiased estimator for theta is derived. This estimator is based on the results of a series of independent items, each cycled to first failure. Series approximations for the variance of this estimator are derived, and some values of the variance are tabled for those cases thought to be of special interest. (Author)

Descriptors :   (*MATHEMATICAL PREDICTION, PROBABILITY), (*MATHEMATICS, MATHEMATICAL ANALYSIS), SERIES(MATHEMATICS), STATISTICAL ANALYSIS, GEOMETRY, MATRICES(MATHEMATICS), EXPERIMENTAL DATA, GROUPS(MATHEMATICS), NUMERICAL ANALYSIS, ERRORS, ANALYSIS OF VARIANCE.

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE