116 citations · 1.2k across the 79 of their papers we have counts for
14 papers · 1 filter
Robust and Efficient Parameter Estimation based on Censored Data with Stochastic Covariates
Abhik Ghosh, Ayanendranath Basu
Analysis of random censored life-time data along with some related stochastic covariables is of great importance in many applied sciences like medical research, population studies…
Visibility based angular power spectrum estimation in low frequency radio interferometric observations
Samir Choudhuri, Somnath Bharadwaj, Abhik Ghosh +1
We present two estimators to quantify the angular power spectrum of the sky signal directly from the visibilities measured in radio interferometric observations. This is relevant f…
The Minimum S-Divergence Estimator under Continuous Models: The Basu-Lindsay Approach
Abhik Ghosh, Ayanendranath Basu
Robust inference based on the minimization of statistical divergences has proved to be a useful alternative to the classical maximum likelihood based techniques. Recently Ghosh et…
The Logarithmic Super Divergence and its use in Statistical Inference
Avijit Maji, Abhik Ghosh, Ayanendranath Basu
This paper introduces a new superfamily of divergences that is similar in spirit to the S-divergence family introduced by Ghosh et al. (2013). This new family serves as an umbrella…
Robust Estimation of Bivariate Tail Dependence Coefficient
Abhik Ghosh
The problem of estimating the coefficient of bivariate tail dependence is considered here from the robustness point of view; it combines two apparently contradictory theories of ro…
The Logarithmic Super Divergence and Statistical Inference : Asymptotic Properties
Avijit Maji, Abhik Ghosh, Ayanendranath Basu
Statistical inference based on divergence measures have a long history. Recently, Maji, Ghosh and Basu (2014) have introduced a general family of divergences called the logarithmic…
Influence Analysis of Robust Wald-type Tests
Abhik Ghosh, Abhijit Mandal, Nirian Martin +1
We consider a robust version of the classical Wald test statistics for testing simple and composite null hypotheses for general parametric models. These test statistics are based o…
Divergence based Robust Estimation of the Tail Index through An Exponential Regression Model
Abhik Ghosh
The extreme value theory is very popular in applied sciences including Finance, economics, hydrology and many other disciplines. In univariate extreme value theory, we model the da…
On the Robustness of a Divergence based Test of Simple Statistical Hypotheses
Abhik Ghosh, Ayanendranath Basu, Leandro Pardo
The most popular hypothesis testing procedure, the likelihood ratio test, is known to be highly non-robust in many real situations. Basu et al. (2013a) provided an alternative robu…
Robust Estimation in Generalised Linear Models : The Density Power Divergence Approach
Abhik Ghosh, Ayanendranath Basu
The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the rela…
Influence Function Analysis of the Restricted Minimum Divergence Estimators : A General Form
Abhik Ghosh
The minimum divergence estimators have proved to be useful tools in the area of robust inference. The robustness of such estimators are measured using the classical Influence funct…
Estimation of Multivariate Location and Covariance using the S -Hellinger Distance
Abhik Ghosh, Ayanendranath Basu
This paper describes a generalization of the Hellinger distance which we call the S -Hellinger distance; this general family connects the Hellinger distance smoothly with the …
Asymptotic Properties of Minimum S-Divergence Estimator for Discrete Models
Abhik Ghosh
Robust inference based on the minimization of statistical divergences has proved to be a useful alternative to the classical techniques based on maximum likelihood and related meth…
Constraining the epoch of reionization with the variance statistic: simulations of the LOFAR case
Ajinkya H. Patil, Saleem Zaroubi, Emma Chapman +27
Several experiments are underway to detect the cosmic redshifted 21-cm signal from neutral hydrogen from the Epoch of Reionization (EoR). Due to their very low signal-to-noise rati…