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), ...

Abstract: A bivariate probability distribution of load and incremental cost of production (λ) taking into consideration machine outages has been produced. Marginal distributions obtained from the ...

We start with analyzing stochastic dependence in a classic bivariate normal density framework. We focus on the way the conditional density of one of the random variables depends on realizations of the ...