2026-04-04T02:23:52Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/963802025-12-04T20:41:41Zcom_2072_1057col_2072_478822col_2072_478917
RECERCAT
author
Masoliver, Jaume, 1951-
2016-03-11T07:56:26Z2016-03-11T07:56:26Z2016-01-132016-03-11T07:56:31Z
We study the nonstationary Feller process with time varying coefficients. We obtain the exact probability distribution exemplified by its characteristic function and cumulants. In some particular cases we exactly invert the distribution and achieve the probability density function. We show that for sufficiently long times this density approaches a Γ distribution with time-varying shape and scale parameters. Not far from the origin the process obeys a power law with an exponent dependent of time, thereby concluding that accessibility to the origin is not static but dynamic. We finally discuss some possible applications of the process.
(c) American Physical Society, 2016 info:eu-repo/semantics/openAccess
Física matemàtica
Processos estocàstics
Mathematical physics
Stochastic processes
Nonstationary Feller process with time-varying coefficients
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion