A new class of geometric dispersion models associated with geometric sums is introduced by combining a geometric tilting operation with geometric compounding, in much the same way that exponential ...

Let X₁, X₂,... be a sequence of independent, identically distributed random variables. Let vp be a geometric random variable with parameter p ∈ (0, 1), independent of all Xj, j ≥ 1. Assume that φ : ℕ ...

In an era driven by complex data, scientists are increasingly encountering information that doesn't lie neatly on flat, ...

Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...