Bivariate model for the distribution of. sqrt. b/sub 1/ and b/sub 2/

Journal Article · Tue Mar 01 00:00:00 EST 1977 · J. Am. Stat. Assoc.; (United States)

DOI:https://doi.org/10.2307/2286939· OSTI ID:5389628

Shenton, L R ^[1]; Bowman, K O

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1. Univ. of Georgia, Athens

In sampling from general populations, the skewness and kurtosis statistics are subject to the constraint b/sub 2/ > 1 + b/sub 1/. A bivariate product-density model for the distribution of ..sqrt..b/sub 1/ and b/sub 2/ is studied, consisting of a Johnson S/sub U/ approximation to the marginal density of ..sqrt..b/sub 1/ a gamma density for the conditional distribution of b/sub 2/. Equiprobability contours are given for sampling from normal and nonnormal populations. In the normal case, an eight-parameter model is completely specified. 4 figures, 4 tables.

• OSTI ID: 5389628
• Journal Information: J. Am. Stat. Assoc.; (United States), Vol. 72:357
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
STATISTICS
PROBABILITY
SAMPLING
MATHEMATICS
990200* - Mathematics & Computers