13 citations · 40 across the 18 of their papers we have counts for
20 papers
Estimation of Tsallis entropy and its applications to goodness-of-fit tests
Siddhartha Chakraborty, Asok K. Nanda, Narayanaswamy Balakrishnan
In this paper, we consider the problem of estimating Tsallis entropy from a given data set. We propose four different estimators for Tsallis entropy measure based on higher-order s…
On estimation of weighted cumulative residual Tsallis entropy for complete and censored samples
Siddhartha Chakraborty, Asok K. Nanda
Recently, weighted cumulative residual Tsallis entropy has been introduced in the literature as a generalization of weighted cumulative residual entropy. We study some new properti…
Mean Residual Life Ageing Intensity Function
Ashutosh Singh, Ishapathik Das, Asok Kumar Nanda +2
Ageing intensity is usually formulated through the failure rate, whereas its mean residual life (\(MRL\))-based counterpart has not been systematically developed. This paper introd…
Departure-based Asymptotic Stochastic Order for Random Processes
Sugata Ghosh, Asok K. Nanda
We propose and analyze a specific asymptotic stochastic order for random processes based on the measure of departure discussed in the literature. As applications, we stochastically…
Asymptotic Stochastic Comparison of Random Processes
Sugata Ghosh, Asok K. Nanda
Several methods are available in the literature to stochastically compare random variables and random vectors. We introduce the notion of asymptotic stochastic order for random pro…
Conditional Precedence Orders for Stochastic Comparison of Random Variables
Sugata Ghosh, Asok K. Nanda
Most of the stochastic orders for comparing random variables, considered in the literature, are afflicted with two main drawbacks: (i) lack of connex property and (ii) lack of cons…
Errors Due to Departure from Independence in Exponential Series System
Asok K. Nanda, Sanjib Gayen, Shovan Chowdhury
In reliability and life testing when the exponentially distributed components are put in series, it is generally assumed that the lifetimes of the components are independently dist…
Shannon's entropy and its Generalizations towards Statistics, Reliability and Information Science during 1948-2018
Asok K Nanda, Shovan Chowdhury
Starting from the pioneering works of Shannon and Weiner in 1948, a plethora of works have been reported on entropy in different directions. Entropy-related review work in the dire…
Some Ageing Properties of Dynamic Additive Mean Residual Life Model
Suchismita Das, Asok K. Nanda
Although proportional hazard rate model is a very popular model to analyze failure time data, sometimes it becomes important to study the additive hazard rate model. Again, sometim…
Reliability study of proportional odds family of discrete distributions
Pradip Kundu, Asok K. Nanda
The proportional odds model gives a method of generating new family of distributions by adding a parameter, called tilt parameter, to expand an existing family of distributions. Th…
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…
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…
Parameter Estimates of General Failure Rate Model: A Bayesian Approach
Asok K. Nanda, Sudhansu S. Maiti, Chanchal Kundu +1
The failure rate function plays an important role in studying the lifetime distributions in reliability theory and life testing models. A study of the general failure rate model $r…
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…