13 citations · 33 across the 20 of their papers we have counts for
21 papers
Extreme Population Selection under Multistage Sampling design With Applications
Shivam, Bhargab Chattopadhyay, Nil Kamal Hazra
We study the problem of selecting the extreme (best or worst) population from among populations, under the assumption that the extreme population is sufficiently separa…
Asymptotically Optimal Sequential Confidence Interval for the Gini Index Under Complex Household Survey Design with Sub-Stratification
Shivam, Bhargab Chattopadhyay, Nil Kamal Hazra
We examine the optimality properties of the Gini index estimator under complex survey design involving stratification, clustering, and sub-stratification. While Darku et al. (Econo…
On Generalized Likelihood Estimation Based on the Logarithmic Norm Relative Entropy
Himanshi Singh, Abhik Ghosh, Nil Kamal Hazra
Traditional likelihood based methods for parameter estimation get highly affected when the given data is contaminated by outliers even in a small proportion. In this paper, we cons…
A Generalized Notion of Completeness and Its Application
Himanshi Singh, Tanmay Sahoo, Nil Kamal Hazra
From the perspective of data reduction, the notions of minimal sufficient and complete statistics together play an important role in determining optimal statistics (estimators). Th…
On multivariate orderings of some general ordered random vectors
Tanmay sahoo, Nil Kamal Hazra, Narayanaswamy Balakrishnan
Ordered random vectors are frequently encountered in many problems. The generalized order statistics (GOS) and sequential order statistics (SOS) are two general models for ordered…
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…
Reliability study of series and parallel systems of heterogeneous component lifetimes under proportional odds model
Pradip Kundu, Nil Kamal Hazra, Asok K. Nanda
In this paper, we investigate various stochastic orderings for series and parallel systems with independent and heterogeneous components having lifetimes following the proportional…
Some Reliability Properties of Transformed-Transformer Family of Distributions
Nil Kamal Hazra, Pradip Kundu, Asok K. Nanda
The Transformed-Transformer family of distributions are the resulting family of distributions as transformed from a random variable through another transformer random variable…
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…
A Note on Warm Standby System
Nil Kamal Hazra, Asok K. Nanda
In this note, we investigate, under what circumstances, a warm standby system (formed by n active components and m warm standby components) has more number of surviving warm standb…
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…