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.
Matthias Fischer Book order






- 2014
- 2010
Design, analysis, and evaluation of a data structure for distributed virtual environments
- 142 pages
- 5 hours of reading
- 2004
Handbuch Wertmanagement in Banken und Versicherungen
- 578 pages
- 21 hours of reading
Die europäischen Finanzdienstleistungsunternehmen befinden sich mitten im Umbruch und in der Konsolidierung. Deregulierung, Konzentration und Globalisierung gewinnbringend nutzen.
- 2002
The path-breaking work of Black and Scholes (1973) initiated the development of the modern option pricing theory. It is based on the so-called geometric Brownian motion as a model for the underlying price process. This process implies that the log returns - i. e. the difference of the logarithm of consecutive prices-follow a normal distribution features like skewness or heavy tails which cannot be captured by normal distribution.