THE CUMULANTS OF THE Z-DISTRIBUTION AND OF THE LOGARITHMIC X2 AND TERT-DISTRIBUTIONS

成果类型:
Article
署名作者:
WISHART, J
刊物名称:
BIOMETRIKA
ISSN/ISSBN:
0006-3444
DOI:
10.1093/biomet/34.1-2.170
发表日期:
1947
页码:
170178
关键词:
摘要:
Explicit expressions for the exact cumulants of Fisher''s z-distribution are given. Cumulants for the logarithmic x 2-distribution are first found (the same result was published by Bartlett and Kendall in 1946) and the cumulants of 2 obtained by considering the z-distribution as the difference between two logarithmic x 2-distributions. Cumulants of the logarithmic t-distribution are obtained by specializing the z-distribution.
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