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Journal of the American Statistical Association Volume 81, 1986 - Issue 393
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Theory and Method

Minimum Hellinger Distance Estimation for Multivariate Location and Covariance

Roy N. Tamura Eli Lilly and Company, Greenfield, IN, 46140, USA
&
Dennis D. Boos Department of Statistics, North Carolina State University, Raleigh, NC, 27695, USA
Pages 223-229 | Received 01 Jun 1984, Published online: 12 Mar 2012

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Qingguo Tang, Rohana J. Karunamuni & Boxiao Liu. (2022) Regularized robust estimation in binary regression models. Journal of Applied Statistics 49:3, pages 574-598.
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Byungsoo Kim & Sangyeol Lee. (2017) Robust estimation for zero-inflated poisson autoregressive models based on density power divergence. Journal of Statistical Computation and Simulation 87:15, pages 2981-2996.
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Jingjing Wu & Rohana J. Karunamuni. (2015) Profile Hellinger distance estimation. Statistics 49:4, pages 711-740.
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Ayanendranath Basu , Smarajit Bose & Sumitra Purkayastha. (2004) Robust discriminant analysis using weighted likelihood estimators . Journal of Statistical Computation and Simulation 74:6, pages 445-460.
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D. Richard Cutler & Adele Cutler. (2000) Estimation for u-shaped beta distributions: minimum hellinger distance and related methods. Communications in Statistics - Theory and Methods 29:7, pages 1487-1509.
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Marianthi Markatou, Ayanendranath Basu & BruceG. Lindsay. (1998) Weighted Likelihood Equations with Bootstrap Root Search. Journal of the American Statistical Association 93:442, pages 740-750.
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Adele Cutler & OlgaI. Cordero-Braña. (1996) Minimum Hellinger Distance Estimation for Finite Mixture Models. Journal of the American Statistical Association 91:436, pages 1716-1723.
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Bhaskar. Bhattacharya & Ayanendranath. Basu. (1996) Robust estimates of ordered means in normal models. Journal of Statistical Computation and Simulation 54:1-3, pages 165-175.
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Ayanendranath Basu & Sahadeb Sarkar. (1994) The trade-off between robustness and efficiency and the effect of model smoothing in minimum disparity inference. Journal of Statistical Computation and Simulation 50:3-4, pages 173-185.
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Ian R. Harris & Ayanendranath Basu. (1994) Hellinger distance as a penalized log likelihood. Communications in Statistics - Simulation and Computation 23:4, pages 1097-1113.
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Paul W. Eslinger & Wayne A. Woodward. (1991) Minimum hellinger distance estimation for normal models. Journal of Statistical Computation and Simulation 39:1-2, pages 95-114.
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Alan Julian Izenman. (1991) Review Papers: Recent Developments in Nonparametric Density Estimation. Journal of the American Statistical Association 86:413, pages 205-224.
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DouglasG. Simpson. (1989) Hellinger Deviance Tests: Efficiency, Breakdown Points, and Examples. Journal of the American Statistical Association 84:405, pages 107-113.
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DouglasG. Simpson. (1987) Minimum Hellinger Distance Estimation for the Analysis of Count Data. Journal of the American Statistical Association 82:399, pages 802-807.
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