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20122026
most citedRobust Estimation in Generalised Linear Models : The Density Power Divergence Approach

68 citations · 377 across the 50 of their papers we have counts for

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Showing 2014Show all

10 papers · 1 filter

math.ST2014★ 8 cited

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…

math.ST2014★ 12 cited

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…

stat.ME2014★ 4 cited

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…

math.ST2014★ 13 cited

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…

math.ST2014★ 24 cited

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…

stat.ME2014★ 68 cited

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…