Igor Halperin proposes an analytical approach to calculating the tail probabilities of compound distributions that have individual components with heavy tails. This offers an alternative to more ...

Discover what a log-normal distribution is, its financial applications, and how to calculate it, including using Excel for ...

An explicit convolution representation for the equilibrium residual lifetime distribution of compound zero-modified geometric distributions is derived. Second-order reliability properties are seen to ...

In particular, we consider three classes of bivariate counting distributions and the corresponding compound distributions introduced in a 1996 paper by Hesselager.We implement the recursive methods ...

We investigate compound distributions - for example, compound mixed Poisson distributions - in the case where the summands, the mixing distribution or the number of summands are subexponential. It is ...