Robust interpolation of random fields homogeneous in time and isotropic on a sphere, which are observed with noise

• Date: 1995
• Main Authors: Moklyachuk, M. P., Моклячук, М. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5491
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of optimal linear estimation of the functional $$A_N \xi = \sum\limits_{k = 0}^{\rm N} {\int\limits_{S_n } {a(k,x)\xi (k,x)m_n (dx),} }$$ , which depends on unknown values of a random field ξ(k, x),k∃Z,x∃S n homogeneous in time and isotropic on a sphereS n, by observations of...