Large families of bivariate probability models based on Panjer-type relations are proposed. These relations are generated by differential equations of probability generating functions (p.g.fs), ...

Let X and Y be two random variables such that X takes only two valoues 1 and 2. The notion of totla positivity of order two for the joint probability distribution of X and Y is discussed in this paper ...

Generalized order statistics provide a unifying framework that extends beyond conventional order statistics by encompassing record values, sequential order statistics, and other related types of ...