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Titlebook: Generalized Hyperbolic Secant Distributions; With Applications to Matthias J. Fischer Book 2014 The Author(s) 2014 62E15, 62P20, 91G70, 91B

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发表于 2025-3-21 19:46:07 | 显示全部楼层 |阅读模式
书目名称Generalized Hyperbolic Secant Distributions
副标题With Applications to
编辑Matthias J. Fischer
视频video
概述The first monograph to discuss generalized hyperbolic secant distributions.Includes a comprehensive theoretical and empirical comparison between all generalized hyperbolic secant families.The chapter
丛书名称SpringerBriefs in Statistics
图书封面Titlebook: Generalized Hyperbolic Secant Distributions; With Applications to Matthias J. Fischer Book 2014 The Author(s) 2014 62E15, 62P20, 91G70, 91B
描述​Among the symmetrical distributions with an infinite domain, the most popular alternative to the normal variant is the logistic distribution as well as the Laplace or the double exponential distribution, which was first introduced in 1774. Occasionally, the Cauchy distribution is also used. Surprisingly, the hyperbolic secant distribution has led a charmed life, although Manoukian and Nadeau had already stated in 1988 that “... the hyperbolic-secant distribution ... has not received sufficient attention in the published literature and may be useful for students and practitioners.” During the last few years, however, several generalizations of the hyperbolic secant distribution have become popular in the context of financial return data because of its excellent fit. Nearly all of them are summarized within this Springer Brief.
出版日期Book 2014
关键词62E15, 62P20, 91G70, 91B70, 91B84; asymmetry; distributions; financial returns; heavy tails; quantitative
版次1
doihttps://doi.org/10.1007/978-3-642-45138-6
isbn_softcover978-3-642-45137-9
isbn_ebook978-3-642-45138-6Series ISSN 2191-544X Series E-ISSN 2191-5458
issn_series 2191-544X
copyrightThe Author(s) 2014
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发表于 2025-3-21 21:59:57 | 显示全部楼层
K. E. Sweetman,P. S. Maitland,A. A. Lylenctions has a simple form. In contrast to Rieck and Nedelman (2008) and Jones and Pewsey [.], who apply the .transformation and .transformation, respectively, to the classical Gaussian distribution, this chapter is dedicated to . and .transformed hyperbolic secant distributions which are the subject
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The BHS Distribution Family,tribution. In contrast to the Beta-normal distribution and to the Beta-Student-t distribution, BHS densities are always unimodal and all moments exist. In contrast to the Beta-logistic distribution, the BHS distribution is more flexible regarding the range of skewness and leptokurtosis combinations.
发表于 2025-3-22 17:49:26 | 显示全部楼层
2191-544X ween all generalized hyperbolic secant families.The chapter ​Among the symmetrical distributions with an infinite domain, the most popular alternative to the normal variant is the logistic distribution as well as the Laplace or the double exponential distribution, which was first introduced in 1774.
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https://doi.org/10.5822/978-1-61091-523-6s re-examined by [.] who also derived additional properties. Based on the GSH family, there are three different proposals in the literature—related to Fischer and Vaughan [.], Fischer [.], and Vaughan [.]—how to additionally introduce skewness which are discussed within this chapter.
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