Least Sum of Absolute Deviations Regression: Distance, Leverage, and Influence
作者： Kenneth J. Berry , Paul W. Mielke
DOI: 10.2466/PMS.1998.86.3.1063
关键词:
摘要: Least sum of absolute deviations regression is considered as a robust alternative to least squared regression. A simple example linear utilizing one predictor variable and single extreme value illustrates the potential effects distance, leverage, influence on two models.
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sci-hub.se 参考文章(10)
Roger C. Pfaffenberger, John J. Dinkel, Absolute Deviations Curve Fitting: An Alternative to Least Squares Contributions to Survey Sampling and Applied Statistics. pp. 279- 294 ,(1978) , 10.1016/B978-0-12-204750-3.50026-5
Terry E. Dielman, Corrections to a comparison of forecasts from least absolute value and least squares regression Journal of Forecasting. ,vol. 8, pp. 419- 420 ,(1989) , 10.1002/FOR.3980080407
H. A. David, Contributions to Survey Sampling and Applied Statistics Technometrics. ,vol. 20, pp. 321- ,(1978) , 10.2307/1268146
Terry Dielman, Roger Pfaffenberger, Least Absolute Value Regression: Necessary Sample Sizes to Use Normal Theory Inference Procedures* Decision Sciences. ,vol. 19, pp. 734- 743 ,(1988) , 10.1111/J.1540-5915.1988.TB00298.X
Paul Zarembka, Frontiers in econometrics ,(1973)
Terry E. Dielman, A comparison of forecasts from least absolute value and least squares regression Journal of Forecasting. ,vol. 5, pp. 189- 195 ,(1986) , 10.1002/FOR.3980050305
Thomas Mathew, Kenneth Nordström, Least squares and least absolute deviation procedures in approximately linear models Statistics & Probability Letters. ,vol. 16, pp. 153- 158 ,(1993) , 10.1016/0167-7152(93)90160-K
I. Barrodale, F. D. K. Roberts, Solution of an overdetermined system of equations in the
l
1 norm [F4] Communications of the ACM. ,vol. 17, pp. 319- 320 ,(1974) , 10.1145/355616.361024
Peter J. Rousseeuw, Least Median of Squares Regression Journal of the American Statistical Association. ,vol. 79, pp. 871- 880 ,(1984) , 10.1080/01621459.1984.10477105
Hoyt G. Wilson, LEAST SQUARES VERSUS MINIMUM ABSOLUTE DEVIATIONS ESTIMATION IN LINEAR MODELS Decision Sciences. ,vol. 9, pp. 322- 335 ,(1978) , 10.1111/J.1540-5915.1978.TB01388.X