Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995496685> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W1995496685 abstract "The principal components analysis of functional data is often enhanced by the use of smoothing. It is shown that an attractive method of incorporating smoothing is to replace the usual $L^2$-orthonormality constraint on the principal components by orthonormality with respect to an inner product that takes account of the roughness of the functions. The method is easily implemented in practice by making use of appropriate function transforms (Fourier transforms for periodic data) and standard principal components analysis programs. Several alternative possible interpretations of the smoothed principal components as obtained by the method are presented. Some theoretical properties of the method are discussed: the estimates are shown to be consistent under appropriate conditions, and asymptotic expansion techniques are used to investigate their bias and variance properties. These indicate that the form of smoothing proposed is advantageous under mild conditions, indeed milder than those for existing methods of smoothed functional principal components analysis. The choice of smoothing parameter by cross-validation is discussed. The methodology of the paper is illustrated by an application to a biomechanical data set obtained in the study of the behaviour of the human thumb-forefinger system." @default.
- W1995496685 created "2016-06-24" @default.
- W1995496685 creator A5066357772 @default.
- W1995496685 date "1996-02-01" @default.
- W1995496685 modified "2023-10-01" @default.
- W1995496685 title "Smoothed functional principal components analysis by choice of norm" @default.
- W1995496685 cites W153630915 @default.
- W1995496685 cites W1601511468 @default.
- W1995496685 cites W163215356 @default.
- W1995496685 cites W1983960282 @default.
- W1995496685 cites W2062356788 @default.
- W1995496685 cites W2065540158 @default.
- W1995496685 cites W206706296 @default.
- W1995496685 doi "https://doi.org/10.1214/aos/1033066196" @default.
- W1995496685 hasPublicationYear "1996" @default.
- W1995496685 type Work @default.
- W1995496685 sameAs 1995496685 @default.
- W1995496685 citedByCount "320" @default.
- W1995496685 countsByYear W19954966852012 @default.
- W1995496685 countsByYear W19954966852013 @default.
- W1995496685 countsByYear W19954966852014 @default.
- W1995496685 countsByYear W19954966852015 @default.
- W1995496685 countsByYear W19954966852016 @default.
- W1995496685 countsByYear W19954966852017 @default.
- W1995496685 countsByYear W19954966852018 @default.
- W1995496685 countsByYear W19954966852019 @default.
- W1995496685 countsByYear W19954966852020 @default.
- W1995496685 countsByYear W19954966852021 @default.
- W1995496685 countsByYear W19954966852022 @default.
- W1995496685 countsByYear W19954966852023 @default.
- W1995496685 crossrefType "journal-article" @default.
- W1995496685 hasAuthorship W1995496685A5066357772 @default.
- W1995496685 hasBestOaLocation W19954966852 @default.
- W1995496685 hasConcept C105795698 @default.
- W1995496685 hasConcept C144237770 @default.
- W1995496685 hasConcept C149782125 @default.
- W1995496685 hasConcept C17744445 @default.
- W1995496685 hasConcept C191795146 @default.
- W1995496685 hasConcept C199539241 @default.
- W1995496685 hasConcept C27438332 @default.
- W1995496685 hasConcept C28826006 @default.
- W1995496685 hasConcept C33923547 @default.
- W1995496685 hasConceptScore W1995496685C105795698 @default.
- W1995496685 hasConceptScore W1995496685C144237770 @default.
- W1995496685 hasConceptScore W1995496685C149782125 @default.
- W1995496685 hasConceptScore W1995496685C17744445 @default.
- W1995496685 hasConceptScore W1995496685C191795146 @default.
- W1995496685 hasConceptScore W1995496685C199539241 @default.
- W1995496685 hasConceptScore W1995496685C27438332 @default.
- W1995496685 hasConceptScore W1995496685C28826006 @default.
- W1995496685 hasConceptScore W1995496685C33923547 @default.
- W1995496685 hasIssue "1" @default.
- W1995496685 hasLocation W19954966851 @default.
- W1995496685 hasLocation W19954966852 @default.
- W1995496685 hasOpenAccess W1995496685 @default.
- W1995496685 hasPrimaryLocation W19954966851 @default.
- W1995496685 hasRelatedWork W2018047529 @default.
- W1995496685 hasRelatedWork W2040248213 @default.
- W1995496685 hasRelatedWork W2043099224 @default.
- W1995496685 hasRelatedWork W2051221975 @default.
- W1995496685 hasRelatedWork W2119158312 @default.
- W1995496685 hasRelatedWork W2330407128 @default.
- W1995496685 hasRelatedWork W2952216749 @default.
- W1995496685 hasRelatedWork W2969635709 @default.
- W1995496685 hasRelatedWork W3037784022 @default.
- W1995496685 hasRelatedWork W4234996786 @default.
- W1995496685 hasVolume "24" @default.
- W1995496685 isParatext "false" @default.
- W1995496685 isRetracted "false" @default.
- W1995496685 magId "1995496685" @default.
- W1995496685 workType "article" @default.