ON THE FOURTH ROOT TRANSFORMATION OF CHI‐SQUARE
作者:
M.N. Goria,
期刊:
Australian Journal of Statistics
(WILEY Available online 1992)
卷期:
Volume 34,
issue 1
页码: 55-64
ISSN:0004-9581
年代: 1992
DOI:10.1111/j.1467-842X.1992.tb01043.x
出版商: Blackwell Publishing Ltd
关键词: Approximation error;cumulants;kurtosis;normal distribution;power transformations;symmetry
数据来源: WILEY
摘要:
SummaryWe show that, within the family of power transformations of a Chisquare variable, the square and fourth roots minimize Pearson's index of kurtosis. Two new transtormations of the fourth root, a symmetrized‐truncated version and its linear combination with the square root are also studied. The first transformation shows a considerable improvement over the fourth root while the second one turns out to be even more accurate than Hilferty‐Wilson's cube root transformat
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