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4 papers
Generalization of the pairwise stochastic precedence order to the sequence of random variables
Maxim Finkelstein, Nil Kamal Hazra
We discuss a new stochastic ordering for the sequence of independent random variables. It generalizes the stochastic precedence order that is defined for two random variables to th…
Comparing Lifetimes of Coherent Systems with Dependent Components Operating in Random Environments
Nil Kamal Hazra, Maxim Finkelstein
We study an impact of a random environment on lifetimes of coherent systems with dependent components. There are two combined sources of this dependence. One results from the depen…
On Component Redundancy Versus System Redundancy for a -out-of- System
Mithu Rani Kuiti, Nil Kamal Hazra, Maxim Finkelstein
Precedence order is a natural type of comparison for random variables in numerous engineering applications (e.g., for the stress-strength modeling). In this note, we show that, for…
On Stochastic Comparisons for Load-Sharing Series and Parallel Systems
Maxim Finkelstein, Nil Kamal Hazra
We study the allocation strategies for redundant components in the load-sharing series/parallel systems. We show that under the specified assumptions, the allocation of a redundant…