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 parametersg and h. Therefore, the family was called gh-distributions. We modify Tukeys...

Characterizations of measures of concordance depend on an ordering of bivariate distributions with fixed marginals or use the concept of a copula to define a ordering without fixed but with continuous marginals. Ordinal variables with a fixed number of categories have discrete bivariate...

Velleman & Wilkinson (1993) give a lot of examples to show that the hierarchy of scalers introduced by Stevens is misleading. We will show that these examples gain are misleading if we accept that most real data sets stem come derived measurement. For derived measurement the absolute scale is...

There is no package in R to plot bivariate distributions for discrete variables or variables given by classes. Therefore, with the help of the already implemented R routine "persp" R functions will be proposed for 3-D plots of the bivariate distribution of discrete variables, the so-called...

There are several procedures to construct a skewed distribution. One of these procedures splits the value of a parameter of scale for the two halfs of a symmetric distribution. Fechner proposed this procedure in his famous book "Kollektivmaßlehre (1897), p. 295ff.". A similar proposal comes...

There are several procedures to construct a skewed distribution. One of these procedures is based on a symmetric distribution that will be distorted by a skewed distribution defined on (0; 1). This proposal stems from Arellano-Valle et al. and was refined by Ferreira & Steel. Up to now, it is an...