02959nam 2200601Ia 450 991082202760332120240410142610.01-281-89914-39786611899141981-270-315-2(CKB)1000000000334225(EBL)296229(OCoLC)476064350(SSID)ssj0000232524(PQKBManifestationID)11191015(PQKBTitleCode)TC0000232524(PQKBWorkID)10213992(PQKB)10756794(MiAaPQ)EBC296229(WSP)00001798 (Au-PeEL)EBL296229(CaPaEBR)ebr10173937(CaONFJC)MIL189914(EXLCZ)99100000000033422520060927d2005 uy 0engur|n|---|||||txtccrRandom fields estimation /Alexander G. Ramm1st ed.Hackensack, NJ World Scientificc20051 online resource (388 p.)Based partly on the author's earlier book: Random fields estimation theory. Harlow, Essex, England : Longman Scientific & Technical ; New York : Wiley, 1990.981-256-536-1 Includes bibliographical references (p. 363-369) and index.Preface; Contents; 1. Introduction; 2. Formulation of Basic Results; 3. Numerical Solution of the Basic Integral Equation in Distributions; 4. Proofs; 5. Singular Perturbation Theory for a Class of Fredholm Integral Equations Arising in Random Fields Estimation Theory; 6. Estimation and Scattering Theory; 7. Applications; 8. Auxiliary Results; Appendix A Analytical Solution of the Basic Integral Equation for a Class of One-Dimensional Problems; Appendix B Integral Operators Basic in Random Fields Estimation Theory; Bibliographical Notes; Bibliography; Symbols; IndexThis book contains a novel theory of random fields estimation of Wiener type, developed originally by the author and presented here. No assumption about the Gaussian or Markovian nature of the fields are made. The theory, constructed entirely within the framework of covariance theory, is based on a detailed analytical study of a new class of multidimensional integral equations basic in estimation theory. This book is suitable for graduate courses in random fields estimation. It can also be used in courses in functional analysis, numerical analysis, integral equations, and scattering theory. Random fieldsEstimation theoryRandom fields.Estimation theory.519.2Ramm A. G(Alexander G.)50066Ramm A. G(Alexander G.).50066MiAaPQMiAaPQMiAaPQBOOK9910822027603321Random fields estimation4065354UNINA