13 citations · 33 across the 20 of their papers we have counts for
13 papers · 1 filter
Coherent systems with dependent and identically distributed components: A study of relative ageing based on cumulative hazard and cumulative reversed hazard rate functions
Nil Kamal Hazra, Neeraj Misra
The relative ageing is an important notion which is useful to measure how a system ages relative to another one. Among all existing stochastic orders, there are two important order…
On Relative Ageing of Coherent Systems with Dependent Identically Distributed Components
Nil Kamal Hazra, Neeraj Misra
Relative ageing describes how a system ages with respect to another one. The ageing faster orders are the ones which compare the relative ageings of two systems. Here, we study age…
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 Optimal Operational Sequence of Components in a Warm Standby System
M. Finkelstein, N. K. Hazra, J. H. Cha
We consider an open problem of optimal operational sequence for the -out-of- system with warm standby. Using the virtual age concept and the cumulative exposure model, we sho…
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…
Reliability study of a coherent system with single general standby component
Pradip Kundu, Nil Kamal Hazra, Asok K. Nanda
The properties of a coherent system with a single general standby component is investigated. Here three different switch over viz. perfect switching, imperfect switching and random…
On Some Generalized Orderings: In the Spirit of Relative Ageing
Nil Kamal Hazra, Asok K. Nanda
We introduce some new generalized stochastic orderings (in the spirit of relative ageing) which compare probability distributions with the exponential distribution. These orderings…
On some generalized ageing orderings
Asok K. Nanda, Nil Kamal Hazra, D. K. Al-Mutairi +1
Some partial orderings which compare probability distributions with the expo- nential distribution, are found to be very useful to understand the phenomenon of ageing. Here, we int…
Ordering Properties of Order Statistics from Heterogeneous Generalized Exponential and Gamma Populations
Amarjit Kundu, Shovan Chowdhury, Asok K. Nanda +1
Let (resp. ) be independent random variables such that (resp. ) follows generalized exponential distribution with shape para…
On Stochastic Comparison Between Two Coherent Systems
Nil Kamal Hazra, Asok K. Nanda
Stochastic orders are very useful tool to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system of used components performs bette…
General Standby Component Allocation in Series and Parallel Systems
Nil Kamal Hazra, Asok K. Nanda
Optimum lifetime of a series (resp. parallel) system with general standby component(s) always depends on allocation strategy of standby component(s) into the system. Here, we discu…