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A sufficient condition of crossing type for the bivariate orthant convex order
Aspects of dependence structures and stochastic orders
In this paper, using several notions of univariate stochastic orders, we present some stochastic
representations of various positive dependence concepts and the related positive dependence orders. Based on this approach, one can develop some...
ALLOCATING TWO REDUNDANCIES IN SERIES SYSTEMS WITH DEPENDENT COMPONENT LIFETIMES
This article deals with the problem of allocating redundancies for improving engineering system performances where component lifetimes are dependent and heterogeneous and an active policy is possible. Stochastic orders are implemented for comparing...
The linear stochastic order and directed inference for multivariate ordered distributions
Some stochastic orders of dynamic additive mean residual life model
Stochastic comparisons for the number of working components of a system in random environment
On residual lifetime of coherent systems after the rth failure
On preservation under univariate weighted distributions
In this paper, we derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed
preservation properties as straightforward conclusions of the obtained results...
Optimal redundancy allocation problems in engineering systems with dependent component lifetimes
This paper deals with the problem of allocating spare components for improving the system reliability when lifetimes of components are dependent. Two policies, called active and standby redundancies, are investigated in ...
Some preservation theorems for systems with minimal repairs
Consider a one-component repairable system that the number of its repair is a positive variable. It is shown that several reliability properties preserve under minimal repair policy. A necessary and sufficient condition ...