It may not be an overstatement that one of the most widely reported measures of variation involves S <Superscript>2</Superscript>, the sample variance, which is also well-known to be alternatively expressed in the form of an U statistic with a symmetric kernel of degree 2 whatever be the population distribution function....</superscript>

The characterization of distributions is well known in the field of Statistics and Reliability. This paper characterizes a few distributions with the help of failure rate, mean residual, log-odds rate, and aging intensity functions.

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...

Summary Though there is a huge variety of different Tchebycheff-type inequalities in the literature a systematised structuring is missing. The few existing surveys remain rather enumerative. Therefore in this paper a structuring of Tchebycheff-type inequalities is suggested which is based on...