investigation of reliability characteristics under fuzzy environments is proposed in this paper. fuzzy weibull distribution and lifetimes of components are using it described. formulas of a fuzzy reliability function, fuzzy hazard function and their α-cut set are presented. furthermore, the fuzzy functions of series systems and parallel systems are discussed, respectively. finally, some numeric...

in this article, we develop the distributed order fractional hybrid differential equations (dofhdes) with linear perturbations involving the fractional riemann-liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-lipschit...

A popular Bayesian nonparametric approach to survival analysis consists in modeling hazard rates as kernel mixtures driven by a completely random measure. In this paper we derive asymptotic results for linear and quadratic functionals of such random hazard rates. In particular, we prove central limit theorems for the cumulative hazard function and for the path–second moment and path–variance of...

This paper sheds light on universal coding with respect to classes of memoryless sources over a countable alphabet defined by an envelope function with finite and non-decreasing hazard rate. We prove that the auto-censuring (AC) code introduced by Bontemps (2011) is adaptive with respect to the collection of such classes. The analysis builds on the tight characterization of universal redundancy...

Hybrid systems like computer-controlled chemical plants are typical safety critical distributed systems. In present practice, the safety of hybrid systems is guaranteed by hazard analysis which is performed according to procedures (e.g., HazOp) where experts discuss a series of informal argumentations. Each argumentation considers a specific required system property. Formal property proofs can ...

several characterizations of marshall-olkin generalized distributions, introduced by gui (2013) and by al-saiari et al. (2014) are presented. these characterizations are based on: (i) a simple relationship between two truncated moments ; (ii) the hazard function.