Using the Gaussian distribution as statistical model for data sets is widely spread, especially in practice. However, departure from normality seems to be more the rule than the exception. The H-distributions, introduced by Tukey (1960, 1977), are generated by a single transformation...

There are several possibilities to introduce skewness into a symmetric distribution. One ofthese procedures applies two di®erent parameters of scale { with possibly di®erent weights {to the positive and the negative part of a symmetric density. Within this work we show thatthis technique...

Two major generalizations of the hyperbolic secant distributionhave been proposed in the statistical literature which both introduce an additionalparameter that governs the kurtosis of the generalized distribution. Thegeneralized hyperbolic secant (GHS) distribution was introduced by Harknessand...

The H−family of distributions or H−distributions, introduced byTukey (1960, 1977), are generated by a single transformation of the standard normal distribution and allow for leptokurtosis represented by the parameter h. Alternatively, Haynes, MacGillivray and Mengersen (1997) generated...

A new test for constant correlation is proposed. Based on the bivariate Student-t distribution, this test is derived as Lagrange multiplier (LM) test. Whereas most of the traditional tests (e.g. Jennrich, 1970, Tang, 1995 and Goetzmann, Li & Rouwenhorst, 2005) specify the unknown correlations as...

A generalization of the hyperbolic secant distribution which allows bothfor skewness and for leptokurtosis was given by Morris (1982). Recently,Vaughan (2002) proposed another flexible generalization of the hyperbolic secantdistribution which has a lot of nice properties but is not able to...

A generalization of the hyperbolic secant distribution which allows both forskewness and for leptokurtosis was given by Morris (1982). Recently, Vaughan(2002) proposed another flexible generalization of the hyperbolic secant distributionwhich has a lot of nice properties but is not able to allow...

With the celebrated model of Black and Scholes in 1973 the development ofmodern option pricing models started. One of the assumptions of the Blackand Scholes model is that the risky asset evolves according to a geometricBrownian motion which implies normally distributed log-returns. As...

Tukey (1960) derived via the technique of transformation of variables starting from the normal distribution a family of skewed and leptokurtic distributions. Skewness and leptokurtosis are determined by two parameters g and h. Therefore, the family was called family gh-distributions. We modify...