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Variance‐Stabilizing Transformation of a Poisson Variate by a Beta Function
Author(s) -
Veevers A.,
Tweedie M. C. K.
Publication year - 1971
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2346760
Subject(s) - random variate , transformation (genetics) , poisson distribution , control variates , mathematics , variance (accounting) , function (biology) , beta function (physics) , statistics , physics , random variable , monte carlo method , chemistry , hybrid monte carlo , biochemistry , accounting , evolutionary biology , quantum gravity , biology , markov chain monte carlo , relationship between string theory and quantum field theory , quantum , gene , business , quantum mechanics
Summary 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.