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Remarks on the generalized Tukey's lambda family of distributions

Conference ·
OSTI ID:5241972
The family of curves generated by the mapping of the uniform density F/sup -1/(lambda) = ..cap alpha.. + ..beta..(lambda/sup ..gamma..delta/ - (1-lambda)/sup ..gamma../)/..gamma.., 0 < lambda < 1, is considered. Primary interest is the application of the above density to approximating theoretical distribution functions of test statistics such as S.D., skewness, and kurtosis under non-normality. Moments are straight forward to evaluate in terms of gamma functions, or polygamma functions in special cases. 1 figure, 8 tables. (RWR)
Research Organization:
Chinese Univ. of Hong Kong, Shatin; Union Carbide Corp., Oak Ridge, TN (USA). Nuclear Div.; Georgia Univ., Athens (USA)
DOE Contract Number:
W-7405-ENG-26
OSTI ID:
5241972
Report Number(s):
CONF-800820-6
Country of Publication:
United States
Language:
English

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