TY  - JOUR
T1  - Asymptotic Properties of Estimating Parameters of Intensity Function and Maintenance Effect
AU - Krit, Makram 
JO  - Journal of Modern Mathematics and Statistics
VL  - 16
IS  - 1
SP  - 1
EP  - 7
PY  - 2022
DA  - 2001/08/19
SN  - 1994-5388
DO  - makjmms.2022.1.7
UR  - https://makhillpublications.co/view-article.php?doi=makjmms.2022.1.7
KW  - Repairable systems reliability
KW  - bathtub failure intensity
KW  - imperfect maintenance
KW  - estimation
KW  - likelihood
AB  - <p>The aim of this study is to study the asymptotic behavior of the Arithmetic Reduction of Intensity (ARI) and Arithmetic Reduction of Age (ARA) models as two imperfect maintenance models. These models have been proposed by Doyen and Gaudoin, the failure process is simply Non Homogeneous Poisson Process (NHPP). The maintenance effect is characterized by the change induced on the failure intensity before and after failure during degradation period. To simplify study, the asymptotic properties of failure process are derived. Then, the asymptotic normality of several maintenance efficiency estimators can be proved in the case where the failure process without maintenance is known. Practically, the coverage rate of the asymptotic confidence intervals issued from those estimators is studied.</p>

ER  -