Bias control in the estimation of spectral functionals

• Date: 2007
• Main Author: Sakhno, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4491
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bias control in the estimation of spectral functionals / L. Sakhno // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 225-233. — Бібліогр.: 12 назв.— англ.

We consider estimators for integrals of a spectrum and a bispectrum for random fields X(t), t belongs R^d, and present conditions guaranteeing the rate of convergence of bias to zero appropriate for dimensions d = 1, 2, 3.