activity
20202026
most citedFractional generalized cumulative entropy and its dynamic version

42 citations · 88 across the 28 of their papers we have counts for

collaborators

31 papers

stat.ME2026

Weighted cumulative past inaccuracy and Kullback-Leibler divergence based on extropy: properties, estimation, and applications

Bighneswar Sahoo, Suchandan Kayal

This study develops a weighted framework for measuring the discrepancy between two nonnegative lifetime distributions through cumulative past extropy. We propose two measures, refe…

math.ST2025

Stochastic comparisons of finite mixtures with general exponentiated location-scale distributed components

Raju Bhakta, Kaushik Gupta, Ghobad Saadat Kia +1

In this paper, we study stochastic ordering results between two finite mixtures with single and multiple outliers, assuming subpopulations follow general exponentiated location-sca…

math.ST2025

Estimating location parameters of several exponential distributions with ordered restriction under Linex loss function

Shrajal Bajpai, Lakshmi Kanta Patra, Suchandan Kayal

Some improved estimators of the location parameters of several exponential distributions with ordered restriction are derived and compared numerically using Monte Carlo simulations…

math.ST2025

Multivariate Rényi inaccuracy measures based on copulas: properties and application

Shital Saha, Suchandan Kayal

We propose Rényi inaccuracy measure based on multivariate copula and multivariate survival copula, respectively dubbed as multivariate cumulative copula Rényi inaccuracy measure an…

nlin.CD2025

Permutation extropy: a time series complexity measure

Ritik Roshan Giri, Suchandan Kayal

On account of a greater need for understanding the complexity of time series like physiological time series, financial time series, and many more that enter into picture for their…

math.ST2024

Ordering results between two finite arithmetic mixture models with multiple-outlier location-scale distributed components

Raju Bhakta, Nuria Torrado, Sangita Das +1

In this article, we introduce finite mixture models (FMMs) renowned for capturing population heterogeneity. Our focus lies in establishing stochastic comparisons between two arithm…

math.ST2024★ 1 cited

Weighted past and paired dynamic varentropy measures, their properties and usefulness

Shital Saha, Suchandan Kayal

We introduce two uncertainty measures, say weighted past varentropy (WPVE) and weighted paired dynamic varentropy (WPDVE). Several properties of these proposed measures, including…

math.ST2024

Some Generalized Information and Divergence Generating Functions: Properties, Estimation, Validation and Applications

Shital Saha, Suchandan Kayal, N. Balakrishnan

We propose Rényi information generating function and discuss its properties. A connection between the Rényi information generating function and the diversity index is proposed for…

math.ST2023

Stochastic orderings between two finite mixture models with inverted-Kumaraswamy distributed components

Raju Bhakta, Pradip Kundu, Suchandan Kayal +1

In this paper, we consider two finite mixture models (FMMs), with inverted-Kumaraswamy distributed components' lifetimes. Several stochastic ordering results between the FMMs have…

math.ST2023

Copula-based extropy measures, properties and dependence in bivariate distributions

Shital Saha, Suchandan Kayal

In this work, we propose extropy measures based on density copula, distributional copula, and survival copula, and explore their properties. We study the effect of monotone transfo…

math.ST2023

General weighted information and relative information generating functions with properties

Shital Saha, Suchandan Kayal

In this work, we propose two information generating functions: general weighted information and relative information generating functions, and study their properties. { It is shown…

math.ST2023

Weighted (residual) varentropy and its applications

Shital Saha, Suchandan Kayal

In information theory, it is of recent interest to study variability of the uncertainty measures. In this regard, the concept of varentropy has been introduced and studied by sever…

stat.ME2023★ 1 cited

A novel distribution with upside down bathtub shape hazard rate: properties, estimation and applications

Tuhin Subhra Mahatao, Subhankar Dutta, Suchandan Kayal

In this communication, we introduce a new statistical model and study its various mathematical properties. The expressions for hazard rate, reversed hazard rate, and odd functions…

stat.ME2023

Statistical inference for dependent competing risks data under adaptive Type-II progressive hybrid censoring

Subhankar Dutta, Suchandan Kayal

In this article, we consider statistical inference based on dependent competing risks data from Marshall-Olkin bivariate Weibull distribution. The maximum likelihood estimates of t…

math.ST2023

Estimating the scale parameters of several exponential distributions under order restriction

Suchandan Kayal, Lakshmi Kanta Patra

In the present work, we have investigated the problem of estimating parameters of several exponential distributions with ordered scale parameters under the linex loss function. We…

math.ST2022★ 8 cited

Extended fractional cumulative past and paired phi-entropy measures

Shital Saha, Suchandan Kayal

Very recently, extended fractional cumulative residual entropy (EFCRE) has been proposed by Foroghi et al. (2022). In this paper, we introduce extended fractional cumulative past e…

stat.ME2022★ 1 cited

Reliability analysis of K-out-of-N system for Weibull components based on generalized progressive hybrid censored data

Subhankar Dutta, Suchandan Kayal

In this paper, we have investigated the reliability of a K-out-of-N system for the components following Weibull distribution based on the generalized progressive hybrid censored da…

math.ST2022★ 1 cited

Different informational characteristics of cubic transmuted distributions

Shital Saha, Suchandan Kayal, N. Balakrishnan

Cubic transmuted (CT) distributions were introduced recently by \cite{granzotto2017cubic}. In this article, we derive Shannon entropy, Gini's mean difference and Fisher information…

math.ST2021

Inadmissibility Results for the Selected Hazard Rates

Brijesh Kumar Jha, Ajaya Kumar Mahapatra, Suchandan Kayal

Let us consider independent populations , where follows exponential distribution with hazard rate (). Suppose $Y_{i1},\…

stat.ME2021★ 17 cited

Statistical inference for Gumbel Type-II distribution under simple step-stress life test using Type-II censoring

Subhankar Dutta, Farha Sultana, Suchandan Kayal

In this paper, we focus on the parametric inference based on the Tampered Random Variable (TRV) model for simple step-stress life testing (SSLT) using Type-II censored data. The ba…

math.ST2021

Weighted fractional generalized cumulative past entropy and its properties

Suchandan Kayal, N. Balakrishnan

In this paper, we introduce weighted fractional generalized cumulative past entropy of a nonnegative absolutely continuous random variable with bounded support. Various properties…

math.ST2021

Failure extropy, dynamic failure extropy and their weighted versions

Suchandan Kayal

Extropy was introduced as a dual complement of the Shannon entropy. In this investigation, we consider failure extropy and its dynamic version. Various basic properties of these me…

math.ST2021

Some new ordering results on stochastic comparisons of second largest order statistics from independent and interdependent heterogeneous distributions

Sangita Das, Suchandan Kayal

The second-largest order statistic is of special importance in reliability theory since it represents the time to failure of a -out-of- system. Consider two -out-of- sy…

q-fin.RM2021

Ordering results between the largest claims arising from two general heterogeneous portfolios

Sangita Das, Suchandan Kayal

This work is entirely devoted to compare the largest claims from two heterogeneous portfolios. It is assumed that the claim amounts in an insurance portfolio are nonnegative absolu…