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Shape properties of the g-and-h and johnson families
Authors:HL Mac Gillivray
Institution:School of Mathematics -Gardens Point Campus , Queensland University of Technology , GPO Box 2434, Brisbane, Q 4001, Australia
Abstract:A substantial part of examining the properties of a distributional family consists of considering shape properties. It is important that this examination is sufficiently thorough to enable understanding of the behaviour of the family, its comparison with others, and to assist in developing future families. The g-and-h distributions and the Johnson system are examined here in these terms
Keywords:asymmetry  skewness  kurtosis  elongation  tails  g-and-h distributions  Johnson distributions  quantile functions  transformations
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