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Communications in Statistics - Theory and Methods Volume 12, 1983 - Issue 10
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Original Articles

A weighted dispersion function for estimation in linear models

Gerald L. Sievers Department of Mathematics, Western Michigan University, ; Department of Statistics, University of North Carolina,
Pages 1161-1179 | Received 01 Jan 1982, Published online: 27 Jun 2007

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Melody Denhere & Huybrechts F. Bindele. (2016) Rank estimation for the functional linear model. Journal of Applied Statistics 43:10, pages 1928-1944.
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Hu Yang, Chaohui Guo & Jing Lv. (2016) Penalized inverse probability weighted estimators for weighted rank regression with missing covariates. Communications in Statistics - Theory and Methods 45:5, pages 1388-1402.
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Yankun Gong & Asheber Abebe. (2012) On the Iteratively Reweighted Rank Regression Estimator. Communications in Statistics - Simulation and Computation 41:2, pages 155-166.
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Weihua Zhou. (2010) A multivariate Wilcoxon regression estimate. Journal of Nonparametric Statistics 22:7, pages 859-877.
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Jeffrey T. Terpstra. (2002) GENERALIZED SIGNED-RANK ESTIMATORS FOR AUTOREGRESSION PARAMETERS. Communications in Statistics - Theory and Methods 31:3, pages 367-395.
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Jeffrey T. Terpstra, Joseph W. McKean & Joshua D. Naranjo. (2000) Highly efficient weighted for autoregression wilcoxon estimes for autoregression. Statistics 35:1, pages 45-80.
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WilliamH. Chang, JosephW. McKean, JoshuaD. Naranjo & SimonJ. Sheather. (1999) High-Breakdown Rank Regression. Journal of the American Statistical Association 94:445, pages 205-219.
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K. Choi & J. Marden. (1998) A multivariate version of kendall's τ. Journal of Nonparametric Statistics 9:3, pages 261-293.
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Lee D. Witt, Joshua D. Naranjo & Joseph W. Mckean. (1995) Influence functions for rank-based procedures in the linear model. Journal of Nonparametric Statistics 5:4, pages 339-358.
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Sudhakar H. Rao & Gerald L. Sievers. (1995) A robust partial correlation measure. Journal of Nonparametric Statistics 5:1, pages 1-20.
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Ola Hössjer. (1994) Rank-Based Estimates in the Linear Model with High Breakdown Point. Journal of the American Statistical Association 89:425, pages 149-158.
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Mara Tableman. (1990) Bounded-Influence Rank Regression: A One-Step Estimator Based on Wilcoxon Scores. Journal of the American Statistical Association 85:410, pages 508-513.
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George Heitmann & Keith Ord. (1985) An Interpretation of the Least Squares Regression Surface. The American Statistician 39:2, pages 120-123.
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Articles from other publishers (22)

Liya Fu, Zhuoran Yang, Fengjing Cai & You-Gan Wang. (2020) Efficient and doubly-robust methods for variable selection and parameter estimation in longitudinal data analysis. Computational Statistics 36:2, pages 781-804.
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QingZhao Zhang, XiaoGang Duan & XiaoHua Zhou. (2017) A weighted Wilcoxon estimate for the covariate-specific ROC curve. Science China Mathematics 60:9, pages 1705-1716.
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Tian ChenJeanne KowalskiRui ChenPan WuHui ZhangChangyong FengXin M. Tu. (2016) Rank-preserving regression: a more robust rank regression model against outliers. Statistics in Medicine 35:19, pages 3333-3346.
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A.S. Turkmen & O. Ozturk. (2016) Generalised Rank Regression Estimator with Standard Error Adjusted Lasso. Australian & New Zealand Journal of Statistics 58:1, pages 121-135.
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Asheber Abebe & Joseph W. McKean. (2013) Weighted Wilcoxon Estimators in Nonlinear Regression. Australian & New Zealand Journal of Statistics 55:4, pages 401-420.
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Shlomo Yitzhaki & Edna SchechtmanShlomo Yitzhaki & Edna Schechtman. 2013. The Gini Methodology. The Gini Methodology 133 176 .
Jana Jureckova, Pranab Sen & Jan Picek. 2012. Methodology in Robust and Nonparametric Statistics. Methodology in Robust and Nonparametric Statistics 282 329 .
Long Feng, Changliang Zou & Zhaojun Wang. (2012) Rank-based inference for the single-index model. Statistics & Probability Letters 82:3, pages 535-541.
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Huybrechts F. Bindele & Asheber Abebe. (2012) Bounded influence nonlinear signed‐rank regression. Canadian Journal of Statistics 40:1, pages 172-189.
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Weihua Zhou & Jin Wang. (2011) On the weighted multivariate Wilcoxon rank regression estimate. Statistics & Probability Letters 81:6, pages 704-713.
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Thomas Hettmansperger & Joseph McKean. 2010. Robust Nonparametric Statistical Methods, Second Edition. Robust Nonparametric Statistical Methods, Second Edition 495 520 .
Joseph W. McKean, Jeff T. Terpstra & John D. Kloke. (2009) Computational rank‐based statistics. Wiley Interdisciplinary Reviews: Computational Statistics 1:2, pages 132-140.
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Lan Wang & Runze Li. (2009) Weighted Wilcoxon-Type Smoothly Clipped Absolute Deviation Method. Biometrics 65:2, pages 564-571.
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George A. F. Seber & Alan J. Lee. 2003. Linear Regression Analysis. Linear Regression Analysis 531 548 .
Jeffrey T. Terpstra, Joseph W. McKean & Joshua D. Naranjo. (2001) GR-estimates for an autoregressive time series. Statistics & Probability Letters 51:2, pages 165-172.
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Thomas P. Hettmansperger, Joseph W. McKean & Simon J. Sheather. 1997. Robust Inference. Robust Inference 145 173 .
Lee D. Witt, Joseph W. McKean & Joshua D. Naranjo. (1994) Robust measures of association in the correlation model. Statistics & Probability Letters 20:4, pages 295-306.
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J. D. Naranjo & T. P. Hettmansperger. (1994) Bounded Influence Rank Regression. Journal of the Royal Statistical Society: Series B (Methodological) 56:1, pages 209-220.
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Thomas P. Hettmansperger & Joshua D. Naranjo. 1991. Directions in Robust Statistics and Diagnostics. Directions in Robust Statistics and Diagnostics 113 120 .
Werner Stahel & Sanford WeisbergWerner A. Stahel. 1991. Directions in Robust Statistics and Diagnostics. Directions in Robust Statistics and Diagnostics 243 278 .
Shlomo Yitzhaki & Wayne Thirsk. (1990) Welfare dominance and the design of excise taxation in the Côte d'ivoire. Journal of Development Economics 33:1, pages 1-18.
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Gerald L. Sievers & Joseph W. McKean. (1986) On the robust rank analysis of linear models with nonsymmetric error distributions. Journal of Statistical Planning and Inference 13, pages 215-230.
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