On the construction of classes of variance stabilizing transformations

Shaul K. Bar-Lev; Peter Enis

doi:10.1016/0167-7152(90)90002-O

On the construction of classes of variance stabilizing transformations

Shaul K. Bar-Lev, Peter Enis

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

Based on the work of Curtiss (1943), Bar-Lev and Enis (1988) presented a proposition providing easily verifiable conditions under which a variance stabilizing and normalizing transformation can be obtained. Here, a proof of that proposition is given, along with a more detailed discussion of this problem. In addition, several examples illustrating the ease of applicability of these conditions are provided and a number of classes of variance stabilizing transformations are presented.

Original language	English
Pages (from-to)	95-100
Number of pages	6
Journal	Statistics and Probability Letters
Volume	10
Issue number	2
DOIs	https://doi.org/10.1016/0167-7152(90)90002-O
State	Published - Jul 1990

Keywords

Limiting distributions
variance stabilizing transformations

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/0167-7152(90)90002-O

Cite this

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title = "On the construction of classes of variance stabilizing transformations",

abstract = "Based on the work of Curtiss (1943), Bar-Lev and Enis (1988) presented a proposition providing easily verifiable conditions under which a variance stabilizing and normalizing transformation can be obtained. Here, a proof of that proposition is given, along with a more detailed discussion of this problem. In addition, several examples illustrating the ease of applicability of these conditions are provided and a number of classes of variance stabilizing transformations are presented.",

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AB - Based on the work of Curtiss (1943), Bar-Lev and Enis (1988) presented a proposition providing easily verifiable conditions under which a variance stabilizing and normalizing transformation can be obtained. Here, a proof of that proposition is given, along with a more detailed discussion of this problem. In addition, several examples illustrating the ease of applicability of these conditions are provided and a number of classes of variance stabilizing transformations are presented.

KW - Limiting distributions

KW - variance stabilizing transformations

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U2 - 10.1016/0167-7152(90)90002-O

DO - 10.1016/0167-7152(90)90002-O

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JO - Statistics and Probability Letters

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IS - 2

ER -

On the construction of classes of variance stabilizing transformations

Abstract

Keywords

ASJC Scopus subject areas

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