THE TWO-DIMENSIONAL HYPERBOLIC DISTRIBUTION AND RELATED DISTRIBUTIONS, WITH AN APPLICATION TO JOHANNSEN BEAN DATA
成果类型：
Article
署名作者：
BLAESILD, P
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2335826
发表日期：
1981
页码：
251263
关键词：
摘要：
The contours of equal density of the 2-dimensional hyperbolic distribution indicate that this distribution is capable of describing a very specific and simple form for departure from the 2-dimensional normal distribution. One of the classical examples of 2-dimensional data showing nonnormal variation in Johannsen''s bean data. After a discussion of elementary properties of the 2-dimensional hyperbolic distribution, the possibility of fitting this distribution to a set of data, obtained from Johannsen''s data by a simple transformation, is considered. The 2-dimensional hyperbolic distribution belongs to the class of generalized hyperbolic distributions which is shown to be closed under the formation of marginal distributions, under conditioning and under affine transformation.
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