7 papers · 1 filter
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…
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…
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…
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…
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…
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…