Given two independent non-degenerate positive random variables X and Y, Lukacs (Ann Math Stat 26:319–324, <CitationRef CitationID="CR14">1955</CitationRef>) proved that X/(X + Y) and X + Y are independent if and only if X and Y are gamma distributed with the same scale parameter. In this work, under the assumption X/U and U are...</citationref>

The decision for buying a heating system is a long-term one, as many different aspects have an influence on this choice which were analyzed in a Germany-wide, written survey. The respondents (only owners of a private house) had to answer questions about their attitude towards e.g. economic,...

The decision for buying a heating system is a long-term one, as many different aspects have an influence on this choice which were analysed in a Germany-wide, written survey. The respondents (only owners of a private house) had to answer questions about their attitude towards e.g. economics,...

We obtain two characterizations of the Gaussian distribution on a Hilbert space from samples of random size.

The right truncated Gini index and mean difference are useful tools in the analysis of incomes and the left truncated versions of these functions can be employed in reliability modelling. In this paper we identify the distributions characterized by simple functional forms of these measures and...