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Generalization of Fisher's z-transformation
Authors:Takao Shohoji  Yuji Yamashita  Tomoyuki Tarumi
Institution:Hiroshima University, Minami High School and Okayama University, Japan
Abstract:We deal with the asymptotic expansions of the means and the variances of the correlation coefficients in truncated bivariate normal populations. The Fisher's z-transformation is generalized for stabilizing variance in a truncated normal population. The Hermite moments are introduced, and the relationship among cross moments, central cross moments, and Hermite moments are discussed.
Keywords:Correlation Coefficient  Variance Stabilization  Truncated Bivariate Normal Population  Hermite Moments  Truncation
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