On the properties of some bounded U- and J- distributions

(in Croatian)

Abstract

Some characteristics of the probability density function in the form of a bounded part of a parabola – especially the first two moments, the median, and the intervals with the largest probabilities – are discussed. It is shown that the median, as well as the mean, gives a poor information on the location of the most frequent values, and that the variance cannot be considered as a parameter of dispersion. The way of fitting the function to the empirical histograms is briefly described. The results may be useful in the statistical analysis of relative sunshine duration and cloudiness data.