In the context of additive or multiplicative damage models, and under mild conditions, it is shown that the functional forms of suitably chosen regressions on a random variable X or/and its recorded part Y are characteristic of the distribution of X. The paper treats the cases where the recorded...

The paper presents a characterization of a general family of distributions by the form of the expectation of an appropriately truncated function of the random variable involved. The obtained result unifies results existing in the literature for specific distributions as well as new results that...

This article provides two characterizations of Mardia's Type I bivariate Pareto distribution. In particular, it is shown that the distribution of a random vector (X,Y) is uniquely determined as a Mardia's Type I bivariate Pareto distribution if its weighted form follows a Mardia's Type I...

This paper provides characterizations of a family of distributions in the context of reliability theory placing emphasis on a particular family member, the Yule distribution. In particular, it is shown that the distribution of a non-negative, integer-valued random variable X with E(X)+∞ is...