Nonstationary Feller process with time-varying coefficients

Jaume Masoliver
2016 Physical review. E  
We study the non-stationary 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 Gamma distribution with time-varying shape and scale parameters. Not far from the origin the process obeys a power law with an exponent dependent of
more » ... time, thereby concluding that accessibility to the origin is not static but dynamic. We finally discuss some possible applications of the process.
doi:10.1103/physreve.93.012122 pmid:26871039 fatcat:xoj5dkfpgbaoxmg45yb6f75yfu