Local linear estimators for the conditional residual entropy function in the case of complete and censored samples are proposed. The resulting estimators are shown to be consistent and asymptotically normally distributed under certain regularity conditions. The performance of the estimator is...

Intuitively, activating the standby of a k-out-of-n:G system to the working state at the last moment fully utilizes the redundancy and hence would result in a more reliable system; however, this is not always true as shown in a counterexample. This paper presents several scenarios under which,...

The generalized past entropy function introduced by Gupta and Nanda (2002) is viewed as a dynamic measure of uncertainty in past life. This measure finds applications in modeling past life time data. In the present work we provide non-parametric kernel-type estimator for the generalized past...

This paper provides a method for evaluating the residual lives of water pipes using the proportional hazards model (PHM) based on the economically optimal replacement times of pipes. The survival times, which are used in the proportional hazards modeling process, were defined as the economically...

Lee and Carter proposed in 1992 a non-linear model mxt = exp (ax + bx kt + εxt) for fitting and forecasting age-specific mortality rates at age x and time t. For the model parameter estimation, they employed the singular value decomposition method to find a least squares solution. However, the...