Variance‐Stabilizing Transformation of a Poisson Variate by a Beta Function

A. Veevers and M. C. K. Tweedie

Journal of the Royal Statistical Society Series C, 1971, vol. 20, issue 3, 304-308

Abstract: The asymptotic equivalence of a family of beta function transformations of a non‐negative integer variable to the square root of the variable leads to an investigation of such transformations as alternatives to the square‐root transformation for the Poisson distribution. In particular, their variance stabilizing properties are compared with those of other transformations for small expectations of a Poisson variate.

Date: 1971
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