Titlebook: Expository Moments for Pseudo Distributions; Haruhiko Ogasawara Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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2524-4027 PN without omitting proofs with didactic explanations using.This book provides expository derivations for moments of a family of pseudo distributions, which is an extended family of distributions including the pseudo normal (PN) distributions recently proposed by the author. The PN includes the ske

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https://doi.org/10.1007/978-94-6300-456-5l. On the other hand, though the distribution of KN is symmetric, it is not necessarily normal. Moments and cumulants for some simple KN distributions with zero skewness by construction are obtained. Some limiting values of the moments, when the values of truncation/selection points approach 0 or infinity, are shown.

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IgE Immunotherapy Against Cancer,en in Chap. .. Decompositions similar to the Henze theorem were derived using the moment generating functions giving the third proof of the Henze theorem. Results when the untruncated normal variables are added or reduced are shown. For associated results, forms of the multivariate Hermite polynomials are given.

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https://doi.org/10.1007/978-3-030-37908-7ined using the weighted or incomplete Kummer confluent hypergeometric function given by Ogasawara [J Multivar Anal [.]) to have the absolute moments. The multivariate bpc distribution is also derived to obtain the absolute moments of the normal vector under sectional truncation, which is the multivariate version of stripe truncation.

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