Abstract This paper deals with a Markov process used for stochastic modeling of the international banking supervision related to the Basel's accords. A quality index reflecting the performance of a bank is proposed, which is based on the asymptotic behavior of the Markov process.

Abstract With the motivation of developing more realistic test plans, an attempt is made in this paper to construct reliability test plans for the components of series systems under the assumptions that the component lifetimes are independent, identically distributed exponential random...

Abstract This paper proposes an efficient heuristic approach to solving the constrained redundancy optimization problem in multi-state systems (MSS) with multi-state components using minimal path vectors. A discrete multi-state model is considered, where the system state depends on the...

Abstract A comprehensive economic cost function is derived for a modified variable sample size and sampling interval (MVSSI) chart. As a variable sample size and sampling interval, a variable sample size, a variable sampling interval, and a static charts are particular cases of an MVSSI chart,...

Abstract We propose frailty regression models in mixture distributions assuming the distribution of frailty to be a gamma distribution. We consider Weibull mixture as an example. There are some interesting situations like survival times in genetic epidemiology, dental implants of patients and...

Abstract A truncated version of the bivariate t distribution is introduced. Unlike the t distribution, this possesses finite moments of all orders and could, therefore, be a better model for real-world situations, as it becomes possible to incorporate always available knowledge about the range...

Abstract In this work we propose a representation of a bivariate density corresponding to the given geometrical behavior of the marginals. A continuous density with compact support can be approximated by the exponential of an infinite polynomial. We find intervals for the possible values of its...

Abstract In previous papers, a new adaptive sampling method was presented for application in the economic statistical control context. By means of an economic model, an optimal solution can be defined. The results obtained previously indicate that the approach might be more useful than both the...

Abstract This work presents a Bayesian approach for estimating the reliability of a parallel multi-component system. It is assumed that the strengths of the components are independent random variables, which are subjected to a common stress with the same distribution. It is supposed that the...

Abstract For predicting a future development in a reliable and precise way, one must necessarily develop a stochastic model given by a Bernoulli-Space introduced by von Collani in 2004. The core of the stochastic model is a set of probability distributions, each describing one potential future...