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تسجيل

Tukey,s Biweight

المؤلف:  Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T.

المصدر:  Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press

الجزء والصفحة:  p. 697

26-7-2019

2964

Tukey's Biweight

The function

{x(1-(x^2)/(c^2))^2 for |x|<c; 0 for |x|>c " src="http://mathworld.wolfram.com/images/equations/TukeysBiweight/NumberedEquation1.gif" style="height:70px; width:192px" />

(1)

sometimes used in robust estimation. It has a minimum at  and a maximum at , where

(2)

and inflection points at  and , where

(3)

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REFERENCES:

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, p. 697, 1992.

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