Power transformations to symmetry. (English) Zbl 0563.62044

Taylor, Jeremy M. G.

Biometrika 72, 145-152 (1985).

From author’s summary: Power transformations for achieving distributional symmetry are discussed. Estimates of the transformation power are based on general measures of symmetry. They are shown to be consistent and asymptotically normal. Use of the skewness coefficient as a measure of symmetry is shown to be optimal in an important special case.

Reviewer: W.J.Padgett

MSC:

62J05	Linear regression; mixed models
62E99	Statistical distribution theory
62J99	Linear inference, regression
62E20	Asymptotic distribution theory in statistics

Keywords:

consistency; asymptotic normality; Power transformations; distributional symmetry; Estimates of the transformation power; measures of symmetry; skewness coefficient