Asymptotic analysis of a kernel estimator for parabolic SPDE's with time-dependent coefficients

• 成果类型: Article
• 署名作者: Huebner, M; Lototsky, S
• 署名单位: Michigan State University; Massachusetts Institute of Technology (MIT)
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2000
• 页码: 1246-1258
• 关键词: partial-differential equations

摘要

In this paper we construct a kernel estimator of a time-varying coefficient of a strongly elliptic partial differential operator in a stochastic parabolic equation. The equation is assumed diagonalizable; that is, all the operators have a common system of eigenfunctions. The mean-square convergence of the estimator is established. The rate of convergence is determined both by the smoothness of the true coefficient and by the asymptotics of the eigenvalues of the operators in the equation.