FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2281963742> ?p ?o ?g. }

• W2281963742 abstract "OF THE DISSERTATION The Efficiencies of the Spatial Median and Spatial Sign Covariance Matrix for Elliptically Symmetric Distributions by Andrew F. Magyar Dissertation Director: David E. Tyler The spatial median and spatial sign covariance matrix (SSCM) are popularly used robust alternatives for estimating the location vector and scatter matrix when outliers are present or it is believed the data arises from some distribution that is not multivariate normal. When the underlying distribution is an elliptical distribution, it has been observed that these estimators perform better under certain scatter structures. This dissertation is a detailed study of the efficiencies of the spatial median and the SSCM under the elliptical model, in particular the dependence of their efficiencies on the population scatter matrix. For the spatial median, it is shown this estimator is asymptotically most efficient compared to the MLE for the location vector when the population scatter matrix is proportional to the identity matrix. Furthermore, it is possible to construct an affinely equivariant version of the spatial median that is asymptotically more efficient than the spatial median. Asymptotic relative efficiencies of these two estimators are calculated to demonstrate how inefficient the spatial median can be as the underlying scatter structure becomes more elliptical. A simulation experiment is carried out to provide evidence of analogous result for finite samples. When the goal is estimating" @default.
• W2281963742 created "2016-06-24" @default.
• W2281963742 creator A5023783789 @default.
• W2281963742 date "2012-01-01" @default.
• W2281963742 modified "2023-09-23" @default.
• W2281963742 title "The efficiencies of the spatial median and spatial sign covariance matrix for elliptically symmetric distributions" @default.
• W2281963742 cites W1498478255 @default.
• W2281963742 cites W1563108151 @default.
• W2281963742 cites W1598916279 @default.
• W2281963742 cites W170820490 @default.
• W2281963742 cites W1963952405 @default.
• W2281963742 cites W1965928820 @default.
• W2281963742 cites W1966369531 @default.
• W2281963742 cites W1967896758 @default.
• W2281963742 cites W1979573625 @default.
• W2281963742 cites W1981469185 @default.
• W2281963742 cites W1987510210 @default.
• W2281963742 cites W1988111769 @default.
• W2281963742 cites W2005363197 @default.
• W2281963742 cites W2008418230 @default.
• W2281963742 cites W2010849103 @default.
• W2281963742 cites W2010951077 @default.
• W2281963742 cites W2019740336 @default.
• W2281963742 cites W2021021566 @default.
• W2281963742 cites W2021553162 @default.
• W2281963742 cites W2032978955 @default.
• W2281963742 cites W2039892753 @default.
• W2281963742 cites W2041039560 @default.
• W2281963742 cites W2046574800 @default.
• W2281963742 cites W2050254378 @default.
• W2281963742 cites W2053583253 @default.
• W2281963742 cites W2058496912 @default.
• W2281963742 cites W2063016434 @default.
• W2281963742 cites W2063926307 @default.
• W2281963742 cites W2089893077 @default.
• W2281963742 cites W2141055931 @default.
• W2281963742 cites W2143769908 @default.
• W2281963742 cites W2146225536 @default.
• W2281963742 cites W2152304600 @default.
• W2281963742 cites W2161347185 @default.
• W2281963742 cites W2161669108 @default.
• W2281963742 cites W2170523015 @default.
• W2281963742 cites W2801179766 @default.
• W2281963742 cites W592696926 @default.
• W2281963742 doi "https://doi.org/10.7282/t3ks6qgj" @default.
• W2281963742 hasPublicationYear "2012" @default.
• W2281963742 type Work @default.
• W2281963742 sameAs 2281963742 @default.
• W2281963742 citedByCount "0" @default.
• W2281963742 crossrefType "journal-article" @default.
• W2281963742 hasAuthorship W2281963742A5023783789 @default.
• W2281963742 hasConcept C105795698 @default.
• W2281963742 hasConcept C106487976 @default.
• W2281963742 hasConcept C130545031 @default.
• W2281963742 hasConcept C144024400 @default.
• W2281963742 hasConcept C149923435 @default.
• W2281963742 hasConcept C159985019 @default.
• W2281963742 hasConcept C161584116 @default.
• W2281963742 hasConcept C176917957 @default.
• W2281963742 hasConcept C177384507 @default.
• W2281963742 hasConcept C178650346 @default.
• W2281963742 hasConcept C180877172 @default.
• W2281963742 hasConcept C185142706 @default.
• W2281963742 hasConcept C185429906 @default.
• W2281963742 hasConcept C192562407 @default.
• W2281963742 hasConcept C2908647359 @default.
• W2281963742 hasConcept C33923547 @default.
• W2281963742 hasConcept C65778772 @default.
• W2281963742 hasConcept C79337645 @default.
• W2281963742 hasConceptScore W2281963742C105795698 @default.
• W2281963742 hasConceptScore W2281963742C106487976 @default.
• W2281963742 hasConceptScore W2281963742C130545031 @default.
• W2281963742 hasConceptScore W2281963742C144024400 @default.
• W2281963742 hasConceptScore W2281963742C149923435 @default.
• W2281963742 hasConceptScore W2281963742C159985019 @default.
• W2281963742 hasConceptScore W2281963742C161584116 @default.
• W2281963742 hasConceptScore W2281963742C176917957 @default.
• W2281963742 hasConceptScore W2281963742C177384507 @default.
• W2281963742 hasConceptScore W2281963742C178650346 @default.
• W2281963742 hasConceptScore W2281963742C180877172 @default.
• W2281963742 hasConceptScore W2281963742C185142706 @default.
• W2281963742 hasConceptScore W2281963742C185429906 @default.
• W2281963742 hasConceptScore W2281963742C192562407 @default.
• W2281963742 hasConceptScore W2281963742C2908647359 @default.
• W2281963742 hasConceptScore W2281963742C33923547 @default.
• W2281963742 hasConceptScore W2281963742C65778772 @default.
• W2281963742 hasConceptScore W2281963742C79337645 @default.
• W2281963742 hasLocation W22819637421 @default.
• W2281963742 hasOpenAccess W2281963742 @default.
• W2281963742 hasPrimaryLocation W22819637421 @default.
• W2281963742 hasRelatedWork W125894719 @default.
• W2281963742 hasRelatedWork W1490854937 @default.
• W2281963742 hasRelatedWork W1514312713 @default.
• W2281963742 hasRelatedWork W1532979383 @default.
• W2281963742 hasRelatedWork W153717761 @default.
• W2281963742 hasRelatedWork W18598366 @default.
• W2281963742 hasRelatedWork W1885205808 @default.
• W2281963742 hasRelatedWork W1968274938 @default.
• W2281963742 hasRelatedWork W1984397848 @default.
• W2281963742 hasRelatedWork W2014968987 @default.

• next