Motivated by the observation that for a sample of size two from an exponential distribution, the largest order statistic is distributed as a convolution of two independent exponential random variables with distributions differing only in their intensity or rate parameter, a spectrum of related...

Optimal age replacement policies for network components such as cables, overhead lines or transformers are usually identified based on gathered knowledge about the state of a component and its stochastic deterioration process. In this context, uncertainty is an important challenge because...

Operation and maintenance (O&M) cost will be the key to the economic viability of large offshore wind farms planned worldwide. In order to support investment decisions a systematic mathematical approach to the O&M cost contributions is required prior to detailed engineering or even construction...

Within set-valued analysis there exist several notions related to the infinitesimal behavior of set-valued functions. One more such notion, needed for a class of spacial statistical problems, was proposed in Khmaladze (2007). Recently we found another suitable characteristic of this evolution,...

In this paper, we study reliability properties in two classes of bivariate continuous distributions based on specification of conditional hazard functions. These classes were constructed by conditioning on two different kinds of events in Arnold and Kim [6]. Several reliability properties are...

We establish the uniform almost complete convergence, with rate, for estimators of both the cumulative hazard and the survival functions when the data are subject to twice censoring. Then, we derive similar convergence results for kernel type estimators of the density and the failure rate.

Crevecoeur (1993) developed a three-parameter bathtub-shaped failure rate model that enjoys nice mathematical properties and justification from engineering perspectives. In this paper, we derive the explicit formulas for the maximum likelihood estimation (MLE) of parameters for his model applied...