68 citations · 377 across the 50 of their papers we have counts for
6 papers · 2 filters
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 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…
Generalized Wald-type Tests based on Minimum Density Power Divergence Estimators
Ayanendranath Basu, Abhijit Mandal, Nirian Martin +1
In testing of hypothesis the robustness of the tests is an important concern. Generally, the maximum likelihood based tests are most efficient under standard regularity conditions,…
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 …
Robust Tests for the Equality of Two Normal Means based on the Density Power Divergence
Ayanendranath Basu, Abhijit Mandal, Nirian Martin +1
Statistical techniques are used in all branches of science to determine the feasibility of quantitative hypotheses. One of the most basic applications of statistical techniques in…
Testing Composite Hypothesis based on the Density Power Divergence
Ayanendranath Basu, Abhijit Mandal, Nirian Martin +1
In any parametric inference problem, the robustness of the procedure is a real concern. A procedure which retains a high degree of efficiency under the model and simultaneously pro…