Gaussian processes offer a versatile framework to model and analyse continuous random phenomena, making them particularly useful in quantifying the probability of ruin in financial and insurance ...

Stochastic processes are at the center of probability theory, both from a theoretical and an applied viewpoint. Stochastic processes have applications in many disciplines such as physics, computer ...

This is a preview. Log in through your library . Abstract In this paper we use point processes to model a simple stochastic epidemic with relapse, using the information given by the times in which a ...

Optimal stopping problems constitute a pivotal area in applied mathematics and statistics, where the objective is to determine the most opportune moment to terminate a stochastic process in order to ...

We give Cornish-Fisher expansions for general smooth functions of the sample cross-moments of a stationary linear process. Examples include the distributions of the sample mean, the sample ...

French mathematician and astronomer, Pierre-Simon Laplace brought forth the first major treatise on probability that combined calculus and probability theory in 1812. A single roll of the dice can be ...