LEADER 03338nam 22006615 450 001 9910254301303321 005 20220404190616.0 010 $a3-319-62130-0 024 7 $a10.1007/978-3-319-62130-2 035 $a(CKB)3710000001631066 035 $a(DE-He213)978-3-319-62130-2 035 $a(MiAaPQ)EBC4987561 035 $a(PPN)203853768 035 $a(EXLCZ)993710000001631066 100 $a20170828d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStable and efficient cubature-based filtering in dynamical systems /$fby Dominik Ballreich 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XVII, 160 p. 19 illus., 14 illus. in color.) 311 $a3-319-62129-7 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Filtering in Dynamical Systems -- Deterministic Numerical Integration -- Optimization and Stabilization of Cubature Rules -- Simulation Studies -- Results -- Appendices -- Index -- Bibliography. 330 $aThe book addresses the problem of calculation of d-dimensional integrals (conditional expectations) in filter problems. It develops new methods of deterministic numerical integration, which can be used to speed up and stabilize filter algorithms. With the help of these methods, better estimates and predictions of latent variables are made possible in the fields of economics, engineering and physics. The resulting procedures are tested within four detailed simulation studies. 606 $aStatistics 606 $aEconometrics 606 $aComputer science$xMathematics 606 $aVibration 606 $aDynamics 606 $aDynamics 606 $aStatistical physics 606 $aStatistics for Business, Management, Economics, Finance, Insurance$3https://scigraph.springernature.com/ontologies/product-market-codes/S17010 606 $aEconometrics$3https://scigraph.springernature.com/ontologies/product-market-codes/W29010 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aStatistics. 615 0$aEconometrics. 615 0$aComputer science$xMathematics. 615 0$aVibration. 615 0$aDynamics. 615 0$aDynamics. 615 0$aStatistical physics. 615 14$aStatistics for Business, Management, Economics, Finance, Insurance. 615 24$aEconometrics. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aVibration, Dynamical Systems, Control. 615 24$aStatistical Physics and Dynamical Systems. 676 $a515.624 700 $aBallreich$b Dominik$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767384 906 $aBOOK 912 $a9910254301303321 996 $aStable and Efficient Cubature-based Filtering in Dynamical Systems$91562280 997 $aUNINA