97-22
Parameter Estimation in Renewal Processes with Imperfect Repair
by Gasmi, S.; Kahle, W. (Magdeburg)
Preprint series: 97-22, Preprints
- MSC:
- 60K10 Applications (reliability, demand theory, etc.)
- 60K05 Renewal theory
- 62F10 Point estimation
Abstract: In this paper we develop statistical methods for a general repair model from Last and Szekli (1995). For determining the model parameters the maximum likelihood estimator is considered. Special results are obtained by the use of Pareto, Log--linear and Weibull--type intensities. Estimations for the degree of repair in a simple model are developed.
Keywords: perfect repair, imperfect repair, minimal repair, point processes, Weibulltype intensities, Pareto type intensities, Log--linear type intensities, renewal process,maximum likelihood estimator.