2 papers
math.ST2026
Asymptotic analysis of the finite predictor for fractional Gaussian noise
P. Chigansky, M. Kleptsyna
This paper proposes a new approach to the asymptotic analysis of the finite predictor for stationary sequences. Our method yields the exact asymptotics of both the relative predict…
math.PR2026
How smooth is the drift of the mixed fractional Brownian motion?
Pavel Chigansky, Marina Kleptsyna
The mixed fractional Brownian motion - the sum of independent fractional and standard Brownian motions - is known to be a semimartingale if the Hurst exponent of its fractional…