Strategy-proof estimators for simple regression

Mathematical social sciences

Volumn 47, Issue 2, 2004, Pages 153-176

  Perote, Javier ^a   Perote Peña, Juan ^b,c  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

^b UNIVERSIDAD PABLO DE OLAVIDE   (Spain)

^c Centro de Estudios Andaluces   (Spain)

Author keywords

Data contamination; Robust regression; Single peaked preferences; Strategy proofness

Indexed keywords

EID: 0346499184     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-4896(03)00085-4     Document Type: Article

References (13)

1. Andrews D.F. A robust method for multiple linear regression Technometrics 16 1974 523-531
2. Barberà S. Jackson M. A characterization of strategy-proof social choice functions for economies with pure public goods Social Choice and Welfare 11 1994 241-252
3. Black D. The Theory of Committees and Elections 1958 Cambridge Univ. Press London
4. Brown G.W. Mood A.M. On median tests for linear hypothesis. In: Neyman J. (Ed.), Proceedings of the 2nd Berkeley Symposium on Mathematical Statistics and Probability 1951 159-166 University of California Press Berkeley
5. Gibbard A. Manipulation of voting schemes: a general result Econometrica 41 1973 587-601
6. Hampel F.R. Beyond location parameters: robust concepts and methods Bulletin of the International Statistics Institute 46 1975 375-382
7. Moulin H. On Strategy-proofness and Single-peakedness Public Choice 35 1980 437-455
8. Rousseeuw P.J. Least median squares regression Journal of the American Statistical Association 79 1984 871-880
9. Rousseeuw P.J. Leroy A.M. Robust Regression and Outlier Detection 1987 Wiley New York
10. Siegel A.F. Robust regression using repeated medians Biometrika 69 1982 242-244
11. Simon S.D. The Median Star: An Alternative to the Tukey Resistant Line, Paper Presented at the Joint Statistical Meetings, Chicago, 18-21 August 1986
12. Theil, H., 1950. A Rank-invariant Method of Linear and Polynomial Regression Analysis (Parts 1-3). Ned. Akad. Wetensch. Proc. Ser. A 53, 386-392, 521-525, 1397-1412.
13. Tukey J.W. Exploratory Data Analysis 1970/71 Adison-Wesley Reading, MA (Limited Preliminary Edition)