Characterization of the S-distribution

S-distributions are univariate statistical distributions with four parameters. They have a simple mathematical structure yet provide excellent approximations for many traditional distributions and also contain a multitude of distributional shapes without a traditional analog. S-distributions furthermore have a number of beneficial features, for instance, in terms of data classification and scaling properties. They provide an appealing compromise between generality in data representation and logistic simplicity and have been applied in a variety of fields from applied biostatistics to survival analysis and risk assessment. Given their advantages in a number of statistical scenarios, it is desirable to explore the features of S-distributions in greater and to extend the concept of S-distributions to generalized forms and to several variates.

[13] Voit, E.O.: The S-distribution. A tool for approximation and classification of univariate, unimodal probability distributions. Biometrical J. 34(7), 855-878, 1992.

[14] Yu, L., and E.O. Voit: Construction of bivariate S-distributions with copulas. Comp. Stat. Data Anal. in press.

[15] Sorribas, A., J.M. Muiño, and E.O.Voit: GS-distributions: a new family of distributions for continuous unimodal variables. Comp. Stat. Data Anal. in press.


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