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Linear combinations of i.i.d. strictly stable variables with random coefficients and their application to anomalous diffusion processes

Pagnini, G.; Hottovy, S.. (2024-01-01)

We show that linear combinations of independent and identically distributed strictly stable variables with positive random coefficients is equal in distribution to a function of these random coefficients times a random var...

A numerical algorithm for the computation of the noncentral beta distribution function

Egorova, V.; Gil, A.; Segura, J.; Temme, N.M. (2024-01-01)

The noncentral beta distribution function is a generalization of the central beta distribu- tion (the regularized incomplete beta function) that includes a noncentrality parameter. This paper describes an algorithm and pro...

Tracking interfaces in a random logistic free-boundary diffusion problems: a random level set method

Egorova, V.; Casabán, M.C.; Company, R.; Jódar, L. (2025-01-01)

Free-boundary diffusive logistic model finds applications in diverse fields associated with population dynamics. These processes often possess stochastic characteristics and involve parameters with uncertainties. This stud...

A random free-boundary diffusive logistic model: Analysis, computing and simulation

Casabán, M.C.; Company, R.; Egorova, V.; Jódar, L. (2025-01-01)

A free boundary diffusive logistic model finds application in many different fields from biological invasion to wildfire propagation. However, many of these processes show a random nature and contain uncertainties in the para...