What is Donsker's theorem (functional central limit theorem)?

Probability in the Engineering and Informational Sciences, vol. 12, 1998 ... BOOK: Stochastic-Process Limits, published by Springer in 2002 (602 pages). This paper develops a subordinated stochastic process model for asset prices, where the directing process is identified as information. Motivated by recent. May 9, 2024 ... From a quantum information perspective, whenever a stochastic process can be exactly expressed as an ε-machine with a finite amount of ... Jul 13, 2022 ... This paper proposes a novel model of sequential information design, namely the Markov persuasion processes (MPPs), in which a sender, with informational ... In particular, if we partition a set of stochastic processes into groups whose sums must be forecast independently, then the statistical properties of each ... Also, as we shall point out, mutual information corresponds to the increase in the doubling rate of wealth given side information. ... random processes such as ... Dec 19, 2024 ... Although Thermodynamics, Information Theory, Brownian motion and Stochastic Physical Process share commonalities in handling energy, information ... Jul 6, 2021 ... Asymmetric information may stem from, e.g., the observation of different stochastic processes or partial knowledge of the structure of the game ... The stochastic properties of this process determine long-run learning dynamics. The challenge in establishing convergence results for <λt> stems from the ... We studied how this growth process shapes the length distribution of informational polymers. Using stochastic simulations, we find that the process generally ...