Title :
Strong laws of large numbers for Hilbert space-valued dependent random fields
Author :
Sharipov, Olimjon ; Qushmuradov, A.
Author_Institution :
Inst. of Math., Nat. Univ. of Uzbekistan, Tashkent, Uzbekistan
Abstract :
We consider the random fields with values in a separable Hilbert space. We give a strong law of large numbers for Hilbert space-valued random fields which is valid under some moment conditions and conditions on the covariance´s of random elements.
Keywords :
Hilbert spaces; covariance analysis; method of moments; random functions; Hilbert space-valued dependent random fields; Hilbert space-valued random fields; covariance; large numbers; moment conditions; random elements; separable Hilbert space; strong laws; Banach spaces of Rademacher type p; Hilbert space; random variables; strong law of large numbers;
Conference_Titel :
Problems of Cybernetics and Informatics (PCI), 2012 IV International Conference
Conference_Location :
Baku
Print_ISBN :
978-1-4673-4500-2
DOI :
10.1109/ICPCI.2012.6486415
