gammaprocessbased
Gammaprocessbased refers to a class of mathematical models and analytical techniques that employ the gamma process, a type of Lévy process, as a foundational stochastic component. The gamma process is a pure-jump, non-decreasing process with independent, gamma-distributed increments. In gammaprocessbased models, these increments are used to represent phenomena that accumulate over time, such as claim amounts in insurance, cumulative damage in reliability engineering, or aggregated counts in queuing systems.
The primary characteristic of a gammaprocessbased approach is the tractability of the gamma distribution. Since the
Applications of gammaprocessbased modeling span several fields. In actuarial science, the collective risk model involves the
Key references in the literature include the work of Kingman on Poisson processes, the classic monographs on
Because of its mathematical convenience and interpretability, the gammaprocessbased framework continues to be a valuable tool