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An iterative self-weighting procedure for fitting straight lines to heteroscedastic data
Authors:John Mandel  Frank L McCrackin
Institution:National Bureau of Standards Gaithersburg , Md 20899
Abstract:An iterative, self-weighting procedure is presented for the fitting of straight lines to data with heteroscedastic error-variances in the response variable. The error-variances are assumed to be unknown, even relative to each other. The procedure is compared with the “resistant line” method advocated by Emerson and Hoaglin Emerson and Hoaglin, 1983], using extensive Monte-Carlo calculations. The proposed method is simple and easily automated, and gives parameter-estimates with smaller variance (higher efficiency) than those resulting from the resistant line technique. A BASIC program to perform the self-weighting fit is given in an appendix
Keywords:fitting straight lines  linear regression  heteroscedastic errors  outliers in linear regression  robust estimation
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