116 citations · 1.2k across the 79 of their papers we have counts for
9 papers · 1 filter
On Robust Pseudo-Bayes Estimation for the Independent Non-homogeneous Set-up
Tuhin Majumder, Ayanendranath Basu, Abhik Ghosh
The ordinary Bayes estimator based on the posterior density suffers from the potential problems of non-robustness under data contamination or outliers. In this paper, we consider t…
Maximum Entropy Framework for a Universal Rank Order distribution with Socio-economic Applications
Abhik Ghosh, Preety Shreya, Banasri Basu
In this paper we derive the maximum entropy characteristics of a particular rank order distribution, namely the discrete generalized beta distribution, which has recently been obse…
Robust Inference for Skewed data in Health Sciences
Amarnath Nandy, Ayanendranath Basu, Abhik Ghosh
Health data are often not symmetric to be adequately modeled through the usual normal distributions; most of them exhibit skewed patterns. They can indeed be modeled better through…
Robust statistical modeling of monthly rainfall: The minimum density power divergence approach
Arnab Hazra, Abhik Ghosh
Statistical modeling of monthly, seasonal, or annual rainfall data is an important research area in meteorology. These models play a crucial role in rainfed agriculture, where a pr…
A Robust Generalization of the Rao Test
Ayanendranath Basu, Abhik Ghosh, Nirian Martin +1
This paper presents new families of Rao-type test statistics based on the minimum density power divergence estimators which provide robust generalizations for testing simple and co…
Optimal Guessing under Nonextensive Framework and associated Moment Bounds
Abhik Ghosh
We consider the problem of guessing the realization of a random variable but under more general Tsallis' non-extensive entropic framework rather than the classical Maxwell-Boltzman…
Consistent Fixed-Effects Selection in Ultra-high dimensional Linear Mixed Models with Error-Covariate Endogeneity
Abhik Ghosh, Magne Thoresen
Recently, applied sciences, including longitudinal and clustered studies in biomedicine require the analysis of ultra-high dimensional linear mixed effects models where we need to…
Robust semiparametric inference for polytomous logistic regression with complex survey design
Elena Castilla, Abhik Ghosh, Nirian Martin +1
Analyzing polytomous response from a complex survey scheme, like stratified or cluster sampling is very crucial in several socio-economics applications. We present a class of minim…
A Scale-invariant Generalization of the Rényi Entropy, Associated Divergences and their Optimizations under Tsallis' Nonextensive Framework
Abhik Ghosh, Ayanendranath Basu
Entropy and relative or cross entropy measures are two very fundamental concepts in information theory and are also widely used for statistical inference across disciplines. The re…