collaborators

6 papers

math.ST2025

Use of copula functions in error assessment due to deviation from dependence assumption

Subarna Bhattacharjee, Aninda Kumar Nanda, Subhashree Patra

In this paper, we analyze the relative errors in various reliability measures due to the tacit assumption that the components associated with a -component series system or a par…

math.ST2025

Use of stochastic orders and statistical dependence in error analysis for multi-component system

Subarna Bhattacharjee, Aninda Kumar Nanda, Subhashree Patra

In this paper, we analyze the relative errors that crop up in the various reliability measures due to the tacit assumption that the components are independently working associated…

stat.CO2025

Use of Lambert W function in the simulation of Weibull and non-Weibull distributions

Subhashree Patra, Subarna Bhattacharjee

In this work, we have taken up some distributions, mostly Weibull family, whose quantile functions could not be obtained using the traditional inversion method. We have solved the…

math.ST2024

Geometric and Harmonic Aging Intensity function and a Reliability Perspective

Subarna Bhattacharjee, Ananda Sen, Sabana Anwar +1

In this paper, we introduce some new notions of aging based on geometric, harmonic means of failure rate and aging intensity function. We define a generalized version of aging func…

math.ST2024

On weighted failure rate, its means and associated quantile version

Subarna Bhattacharjee, S. M. Sunoj, Sabana Anwar

In this paper, we define weighted failure rate and their different means from the stand point of an application. We begin by emphasizing that the formation of n independent compone…

math.ST2024

Errors due to departure from independence in multivariate Weibull distributions

Subarna Bhattacharjee, Aninda K. Nanda, Subhasree Patra

We do the error analysis in reliability measures due to the assumption of independence amongst the component lifetimes. In reliability theory, we come across different n-component…