Let S be a coherent system of m components acting independently. Two statistical models are considered. In the autopsy model S is observed until it fails. The set of failed components and the failure time of the system are noted. The failure times of the dead components are not known. In the second model, which was considered by Doss, Freitag and Proschan (Ann. Statist., 1989), the failure times of the dead components are also known. / In the autopsy model, it is not always possible to estimate or identify the component lifelengths from the observed data. A sufficient condition for the identifiability of the component distributions is given for the case in which the distributions are assumed to be analytic. Necessary and sufficient conditions are given for the case in which the distributions are assumed to belong to certain parametric families. / The model of Doss, Freitag and Proschan is considered in two special cases. In the first of these the component distributions are known to be identical. In the second, the distributions are known to be exponential. Estimators of the component and system life lengths are given for each of these cases, and the asymptotic relative efficiency of each with respect to the corresponding estimator of Doss, Freitag and Proschan is calculated. / Source: Dissertation Abstracts International, Volume: 53-03, Section: B, page: 1449. / Major Professors: Hani Doss; Myles Hollander. / Thesis (Ph.D.)--The Florida State University, 1992.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_76624 |
| Contributors | Antoine, Robin Michael., Florida State University |
| Source Sets | Florida State University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | 74 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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