Estimating the Parameters of a Bivariate Exponential Distribution in Several Sampling Situations.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Estimation for the three parameter, bivariate exponential distribution of Marshall and Olkin BVE is investigated for several sampling plans. Sample data arising from a set of two-component systems on life test may be of three basic types depending on whether the systems on test are series, parallel, or parallel with observable causes of individual component failure. Series and parallel BVE sampling have been investigated previously, but here the theory is unified by characterizing the accrual of information, i.e., by specifying the densities of the additional random variables that become observable, in going from series to parallel to cause identifiable sampling. Using these results, a likelihood is computed for samples that may contain any combination of series, parallel, or cause identifiable subsamples. By slightly modifying the densities involved in the information accrual characterization, the likelihoods of time truncated parallel and cause identifiable samples are obtained. Modified author abstract
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems