Nonparametric Estimation of the Geometric Vitality Function |
| |
| Authors: | G Rajesh R Maya K R Muraleedharan Nair |
| |
| Institution: | 1. Department of Statistics , DB College , Parumala , India;2. Department of Statistics , University of Kerala , Thiruvananthapuram , India;3. Department of Statistics , Cochin University of Science and Technology , Cochin , India |
| |
| Abstract: | Recently, Nair and Rajesh (2000
Nair , K. R. M. ,
Rajesh , G. ( 2000 ). Geometric vitality function and its application to reliability . IAPQR Tran. 25 ( 1 ): 1 – 8 . Google Scholar]) proposed a measure to describe the failure pattern of components/devices in terms of the geometric mean of the residual life. This measure find applications in modeling life time data. In the present work we provide a nonparametric kernel-type estimator for the geometric vitality function, both in the case of complete and censored samples. The properties of the estimator, under certain regularity conditions, are studied. The performance of the estimator is compared with the empirical estimator using a real data set and simulation studies are carried out using the Monte Carlo method. |
| |
| Keywords: | Geometric vitality function Kernel estimate α-mixing Residual life Vitality function |
|
|
