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

- Abhik Ghosh, A. Basu
- Mathematics
- 2013

Robust Bayes estimation using the density power divergence

- Abhik Ghosh, A. 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

Characterizing foreground for redshifted 21 cm radiation: 150 MHz Giant Metrewave Radio Telescope observations

- Abhik Ghosh, J. Prasad, S. Bharadwaj, S. S. Ali, J. Chengalur
- Physics
- 8 August 2012

Foreground removal is a major challenge for detecting the redshifted 21 cm neutral hydrogen (H i) signal from the Epoch of Reionization. We have used 150 MHz Giant Metrewave Radio Telescope… Expand

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

- Abhik Ghosh, A. 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

A Bayesian analysis of redshifted 21-cm H I signal and foregrounds: simulations for LOFAR

- Abhik Ghosh, L. Koopmans, E. Chapman, V. Jelic
- Physics
- 16 June 2015

Observations of the epoch of reionization (EoR) using the 21-cm hyperfine emission of neutral hydrogen (H I) promise to open an entirely new window on the formation of the first stars, galaxies and… Expand

Predictions for the 21 cm-galaxy cross-power spectrum observable with LOFAR and Subaru

- D. Vrbanec, B. Ciardi, +8 authors G. Mellema
- Physics
- 11 September 2015

The 21 cm-galaxy cross-power spectrum is expected to be one of the promising probes of the Epoch of Reionization (EoR), as it could offer information about the progress of reionization and the… Expand

A generalized divergence for statistical inference

- Abhik Ghosh, I. R. Harris, A. Maji, A. 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

Interpreting LOFAR 21-cm signal upper limits at z~9.1 in the context of high-z galaxy and reionisation observations

- B. Greig, A. Mesinger, +11 authors V. Pandey
- Physics
- 5 June 2020

Using the latest upper limits on the 21-cm power spectrum at $z\approx9.1$ from the Low Frequency Array (LOFAR), we explore regions of parameter space which are inconsistent with the data. We use… Expand

A Wald-type test statistic for testing linear hypothesis in logistic regression models based on minimum density power divergence estimator

- A. Basu, Abhik Ghosh, A. Mandal, N. Martín, L. Pardo
- Mathematics
- 23 September 2016

In this paper a robust version of the classical Wald test statistics for linear hypothesis in the logistic regression model is introduced and its properties are explored. We study the problem under… Expand

Robust estimation in generalized linear models: the density power divergence approach

- Abhik Ghosh, A. Basu
- Mathematics
- 26 March 2014

The generalized linear model is a very important tool for analyzing real data in several application domains where the relationship between the response and explanatory variables may not be linear or… Expand

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