Statistical Estimation for a Failure Model with the Accumulation of Damages

The Proceedings of the International Conference on Degradation, Damage, Fatigue and Accelerated Life Models in Reliability Testing 2006
Maksims Fiošins, Aleksandrs Andronovs, Jeļena Fiošina

Failure model with two types of failures is considered: initial and terminal failures. Initial failures occur according to a Poisson flow and then degenerate into terminal failures. The rate of a Poisson flow and degeneration time distribution are unknown, but two sample populations are available: the sample of intervals between initial failures and the sample of degeneration times. The aim is to estimate the expectation and the distribution of the number of failures at a time instant t. We consider plug-in and resampling estimators of above mentioned characteristics. The expectations and variances of the suggested estimators are investigated. The numerical examples show that resampling estimator has some advantages.

Atslēgas vārdi
Failure model, Estimation, Resampling Expectation and Variance

Fiošins, M., Andronovs, A., Fiošina, J. Statistical Estimation for a Failure Model with the Accumulation of Damages. No: The Proceedings of the International Conference on Degradation, Damage, Fatigue and Accelerated Life Models in Reliability Testing, Francija, Angers, 22.-24. maijs, 2006. Angers: ISTIA, Quality, Reliability and Management Laboratory, 2006, 75.-81.lpp.

Publikācijas valoda
English (en)