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10 papers · 1 filter

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…

math.ST2025

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 fo…

math.ST2025

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

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…