Robust Functional Data Analysis for Stochastic Evolution Equations in Infinite Dimensions

Autor:	Schroers, Dennis
Rok vydání:	2024
Předmět:	Statistics - Methodology Quantitative Finance - Mathematical Finance
Druh dokumentu:	Working Paper
Popis:	We develop an asymptotic theory for the jump robust measurement of covariations in the context of stochastic evolution equation in infinite dimensions. Namely, we identify scaling limits for realized covariations of solution processes with the quadratic covariation of the latent random process that drives the evolution equation which is assumed to be a Hilbert space-valued semimartingale. We discuss applications to dynamically consistent and outlier-robust dimension reduction in the spirit of functional principal components and the estimation of infinite-dimensional stochastic volatility models.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.16286 Zobrazit plný text záznamu View this record from Arxiv