LEADER 02989nam 2200601Ia 450 001 9910450734703321 005 20200520144314.0 010 $a1-281-89914-3 010 $a9786611899141 010 $a981-270-315-2 035 $a(CKB)1000000000334225 035 $a(EBL)296229 035 $a(OCoLC)476064350 035 $a(SSID)ssj0000232524 035 $a(PQKBManifestationID)11191015 035 $a(PQKBTitleCode)TC0000232524 035 $a(PQKBWorkID)10213992 035 $a(PQKB)10756794 035 $a(MiAaPQ)EBC296229 035 $a(WSP)00001798 035 $a(Au-PeEL)EBL296229 035 $a(CaPaEBR)ebr10173937 035 $a(CaONFJC)MIL189914 035 $a(EXLCZ)991000000000334225 100 $a20060927d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRandom fields estimation$b[electronic resource] /$fAlexander G. Ramm 210 $aHackensack, NJ $cWorld Scientific$dc2005 215 $a1 online resource (388 p.) 300 $aBased partly on the author's earlier book: Random fields estimation theory. Harlow, Essex, England : Longman Scientific & Technical ; New York : Wiley, 1990. 311 $a981-256-536-1 320 $aIncludes bibliographical references (p. 363-369) and index. 327 $aPreface; 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; Index 330 $aThis 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. 606 $aRandom fields 606 $aEstimation theory 608 $aElectronic books. 615 0$aRandom fields. 615 0$aEstimation theory. 676 $a519.2 700 $aRamm$b A. G$g(Alexander G.) 701 $aRamm$b A. G$g(Alexander G.).$050066 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450734703321 996 $aRandom fields estimation$92018919 997 $aUNINA