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The B-Exponential Divergence and its Generalizations with Applications to Parametric Estimation
Taranga Mukherjee, Abhijit Mandal, Ayanendranath Basu
In this paper a new family of minimum divergence estimators based on the Bregman divergence is proposed, where the defining convex function has an exponential nature. These estimat…
Robust and Efficient Estimation in the Parametric Cox Regression Model under Random Censoring
Abhik Ghosh, Ayanendranath Basu
Cox proportional hazard regression model is a popular tool to analyze the relationship between a censored lifetime variable with other relevant factors. The semi-parametric Cox mod…
Power and Level Robustness of A Composite Hypothesis Testing under Independent Non-Homogeneous Data
Abhik Ghosh, Ayanendranath Basu
Robust tests of general composite hypothesis under non-identically distributed observations is always a challenge. Ghosh and Basu (2018, Statistica Sinica, 28, 1133--1155) have pro…
A Robust Wald-type Test for Testing the Equality of Two Means from Log-Normal Samples
Ayanendranath Basu, Abhijit Mandal, Nirian Martin +1
The log-normal distribution is one of the most common distributions used for modeling skewed and positive data. It frequently arises in many disciplines of science, specially in th…
Robust Wald-type test in GLM with random design based on minimum density power divergence estimators
Ayanendranath Basu, Abhik Ghosh, Abhijit Mandal +2
We consider the problem of robust inference under the generalized linear model (GLM) with stochastic covariates. We derive the properties of the minimum density power divergence es…