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Publications Influence

Minimum disparity estimation for continuous models: Efficiency, distributions and robustness

- Ayanendranath Basu, B. Lindsay
- Mathematics
- 1 December 1994

A general class of minimum distance estimators for continuous models called minimum disparity estimators are introduced. The conventional technique is to minimize a distance between a kernel density… Expand

149 19- PDF

Statistical Inference: The Minimum Distance Approach

- Ayanendranath Basu, H. Shioya, Chanseok Park
- Mathematics
- 22 June 2011

Introduction General Notation Illustrative Examples Some Background and Relevant Definitions Parametric Inference based on the Maximum Likelihood Method Hypothesis Testing by Likelihood Methods… Expand

213 16- PDF

Robust estimation for independent non-homogeneous observations using density power divergence with applications to linear regression

- A. Ghosh, Ayanendranath Basu
- Mathematics
- 2013

79 10

PENALIZED MINIMUM DISPARITY METHODS FOR MULTINOMIAL MODELS

- Ayanendranath Basu, S. Basu
- Mathematics
- 1998

Robust estimation of the probability vector is an important problem for the finite k cell multinomial model. When the probability vector is unrestricted, its estimate is equal to the vector of the… Expand

36 7- PDF

Weighted Likelihood Equations with Bootstrap Root Search

- M. Markatou, Ayanendranath Basu, B. Lindsay
- Mathematics
- 1 June 1998

Abstract We discuss a method of weighting likelihood equations with the aim of obtaining fully efficient and robust estimators. We discuss the case of continuous probability models using unimodal… Expand

114 6

Robust Bayes estimation using the density power divergence

- A. Ghosh, Ayanendranath Basu
- Mathematics
- 1 April 2016

The ordinary Bayes estimator based on the posterior density can have potential problems with outliers. Using the density power divergence measure, we develop an estimation method in this paper based… Expand

37 6- PDF

2 Minimum distance estimation: The approach using density-based distances

- Ayanendranath Basu, I. Harris, S. Basu
- Mathematics
- 1997

Publisher Summary This chapter discusses the concept of minimum distance estimation using density-based distances. Density-based minimum distance methods have proven to be valuable additions to the… Expand

43 4

Minimum negative exponential disparity estimation in parametric models

- Ayanendranath Basu, S. Sarkar, A. N. Vidyashankar
- Mathematics
- 15 March 1997

Abstract Works of Lindsay (1994) and Basu and Sarkar (1994a) provide heuristic arguments and some empirical evidence that the minimum negative exponential disparity estimator (MNEDE), like the… Expand

26 4

Robust estimation for non-homogeneous data and the selection of the optimal tuning parameter: the density power divergence approach

- A. Ghosh, Ayanendranath Basu
- Mathematics
- 16 March 2015

The density power divergence (DPD) measure, defined in terms of a single parameter α, has proved to be a popular tool in the area of robust estimation [1]. Recently, Ghosh and Basu [5] rigorously… Expand

29 3

A generalized divergence for statistical inference

- A. Ghosh, I. Harris, Avijit Maji, Ayanendranath Basu, L. Pardo
- Mathematics
- 1 November 2017

The power divergence (PD) and the density power divergence (DPD) families have proven to be useful tools in the area of robust inference. In this paper, we consider a superfamily of divergences which… Expand

27 3- PDF