By Matthias J. Fischer
Among the symmetrical distributions with an unlimited area, the most well-liked replacement to the traditional version is the logistic distribution in addition to the Laplace or the double exponential distribution, which was once first brought in 1774. sometimes, the Cauchy distribution is additionally used. unusually, the hyperbolic secant distribution has led a charmed existence, even though Manoukian and Nadeau had already said in 1988 that “... the hyperbolic-secant distribution ... has no longer got adequate recognition within the released literature and should be worthwhile for college students and practitioners.” over the last few years, although, a number of generalizations of the hyperbolic secant distribution became well known within the context of monetary go back info as a result of its first-class healthy. the vast majority of them are summarized inside of this Springer Brief.
Read or Download Generalized Hyperbolic Secant Distributions: With Applications to Finance PDF
Similar econometrics books
This significant new econometrics textual content surveys contemporary advancements within the quickly increasing box of asymptotic distribution thought, with a unique emphasis at the difficulties of time dependence and heterogeneity. Designed for econometricians and complicated scholars with restricted mathematical education, the publication in actual fact lays out the mandatory math and chance thought and makes use of various examples to make its information invaluable and understandable.
Economies evolve and are topic to surprising shifts brought about through legislative adjustments, monetary coverage, significant discoveries, and political turmoil. Macroeconometric versions are a really imperfect device for forecasting this hugely complex and altering strategy. Ignoring those elements ends up in a large discrepancy among concept and perform.
The idea of coverage is gifted during this e-book, mentioned from the point of view of the speculation of economics of uncertainty. the main of top class calculation which the booklet makes use of relies on monetary equilibrium idea and differs from a number of the top class structures mentioned via actuaries. Reinsurance is built within the framework of basic monetary equilibrium idea below uncertainty.
This is often an excerpt from the 4-volume dictionary of economics, a reference booklet which goals to outline the topic of economics at the present time. 1300 topic entries within the whole paintings conceal the wide subject matters of monetary thought. This extract concentrates on econometrics.
- The Economic Analysis of Substance Use and Abuse: An Integration of Econometric and Behavioral Economic Research (National Bureau of Economic Research Conference Report)
- Semiparametric regression for the applied econometrician
- The Maximum Entropy Method
- The Maximum Entropy Method
- A Modern Theory of Random Variation: With Applications in Stochastic Calculus, Financial Mathematics, and Feynman Integration
Extra info for Generalized Hyperbolic Secant Distributions: With Applications to Finance
37, 273–288 (1991) 19. : Orthogonale Polygonsysteme mit einer besonderen Gestalt der erzeugenden Funktion. J. London Math. Soc. 9, 6–13 (1934) 20. : Natural exponential families with quadratic variance functions. Ann. Stat. 10(1), 65–80 (1982) 21. : Unifying the named natural exponential families and their relatives. Am. Stat. 63(3), 247–253 (2009) 36 3 The NEF-GHS or Meixner Distribution Family 22. : Lévy processes, polynomials and martingales. Commun. Stat. Stoch. Models. 14(1&2), 335–349 (1998) 23.
Biometrika 36, 149–176 (1949) 11. : Sinh-arcsinh distributions. Biometrika 96(4), 761–780 (2009) 12. : Numerical maximum likelihood estimation for the g-and-k and generalised g-and-h distributions. Stat. Comput. 12, 57–75 (2002) 13. : A log-linear model for the Birnbaum-Saunders distributions. Technometrics 33, 51–60 (1991) 14. : Skew t distributions via the sinh-arcsinh transformation. Test (2010). 1007/s11749-010-0222-2 15. : Systems of frequency curves generated by transformations of logistic variables.
Stat. 39(2), 245–258 (2010) 10. : The Kumaraswamy-hyperbolic secant (KHS) distribution, with application. Working Paper (unpublished) (2013) 11. : Table of Integrals Series and Products. Academic Press, San Diego (2000) 12. : Families of distributions arising from distributions of order statistics. Test 13(1), 1–43 (2004) 13. : A skew extension of the t-distribution, with applications. J. Roy. Stat. Soc. Ser. B 65(1), 159–174 (2003) 14. : Rank test of location optimal for hyperbolic secant distribution.