LEADER 03431nam 2200481Ia 450 001 9910437860803321 005 20200520144314.0 010 $a3-658-02314-7 024 7 $a10.1007/978-3-658-02314-0 035 $a(OCoLC)847514791 035 $a(MiFhGG)GVRL6UQS 035 $a(CKB)2670000000371291 035 $a(MiAaPQ)EBC1317199 035 $a(EXLCZ)992670000000371291 100 $a20130314d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aLocal variance estimation for uncensored and censored observations /$fPaola Gloria Ferrario 205 $a1st ed. 2013. 210 $aDordrecht $cSpringer$d2013 215 $a1 online resource (xvii, 130 pages) $cillustrations 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 $a3-658-02313-9 320 $aIncludes bibliographical references. 327 $aLeast Squares Estimation of the Local Variance via Plug-In.- Local Averaging Estimation of the Local Variance via Plug-In -- Partitioning Estimation of the Local Variance via Nearest Neighbors -- Estimation of the Local Variance under Censored Observations. 330 $aPaola Gloria Ferrario develops and investigates several methods of nonparametric local variance estimation. The first two methods use regression estimations (plug-in), achieving least squares estimates as well as local averaging estimates (partitioning or kernel type). Furthermore, the author uses a partitioning method for the estimation of the local variance based on first and second nearest neighbors (instead of regression estimation). Approaching specific problems of application fields, all the results are extended and generalised to the case where only censored observations are available. Further, simulations have been executed comparing the performance of two different estimators (R-Code available!). As a possible application of the given theory the author proposes a survival analysis of patients who are treated for a specific illness.   Contents ·         Least Squares Estimation of the Local Variance via Plug-In ·         Local Averaging Estimation of the Local Variance via Plug-In ·         Partitioning Estimation of the Local Variance via Nearest Neighbors ·         Estimation of the Local Variance under Censored Observations     Target Groups ·         Researchers and graduate students in the fields of mathematics and statistics ·         Practitioners in the fields of medicine, reliability, finance, and insurance     Author Paola Gloria Ferrario received her doctorate degree (doctor rerum naturalium) from the University of Stuttgart, Germany, in 2012, after having studied Mathematical Engineering at the Polytechnic of Milano, Italy. She taught mathematics to students of economics at University of Hohenheim and now works as a researcher at the University of Lübeck, Germany. 606 $aData mining 606 $aVariational inequalities 615 0$aData mining. 615 0$aVariational inequalities. 676 $a519.546 700 $aFerrario$b Paola$f1963-$01756318 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437860803321 996 $aLocal variance estimation for uncensored and censored observations$94193544 997 $aUNINA