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Generalized Hyperbolic Secant Distributions

  • Kartonierter Einband
  • 80 Seiten
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Among the symmetrical distributions with an infinite domain, the most popular alternative to the normal variant is the logistic di... Weiterlesen
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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.

The first monograph to discuss generalized hyperbolic secant distributions

Includes a comprehensive theoretical and empirical comparison between all generalized hyperbolic secant families

The chapter on applications to finance also includes other popular distribution models

Matthias Fischer studied Mathematics at the University of Erlangen-Nürnberg. His dissertation focused on infinitely divisible distribution and its application to option pricing and was followed by a postdoctoral thesis on copula-based, time-varying patchwork distributions with applications to financial data. He has also published a number of papers and monographs, in particular on generalized hyperbolic secant distributions.

Preface.- Hyperbolic Secant Distributions.- The GSH Distribution Family and Skew Versions.- The NEF-GHS or Meixner Distribution Family.- The BHS Distribution Family.- The SHS and SASHS Distribution Family.- Application to Finance.- R-Code: Fitting a BHS Distribution.


Titel: Generalized Hyperbolic Secant Distributions
Untertitel: With Applications to Finance
EAN: 9783642451379
ISBN: 3642451373
Format: Kartonierter Einband
Herausgeber: Springer Berlin Heidelberg
Genre: Mathematik
Anzahl Seiten: 80
Gewicht: 137g
Größe: H235mm x B155mm x T4mm
Jahr: 2014
Auflage: 2014

Weitere Produkte aus der Reihe "SpringerBriefs in Statistics"