Matches in SemOpenAlex for { <https://semopenalex.org/work/W2342860571> ?p ?o ?g. }
- W2342860571 abstract "We consider a measure $psi_{k}$ of dispersion which extends the notion of Wilk’s generalised variance for a $d$-dimensional distribution, and is based on the mean squared volume of simplices of dimension $kleq d$ formed by $k+1$ independent copies. We show how $psi_{k}$ can be expressed in terms of the eigenvalues of the covariance matrix of the distribution, also when a $n$-point sample is used for its estimation, and prove its concavity when raised at a suitable power. Some properties of dispersion-maximising distributions are derived, including a necessary and sufficient condition for optimality. Finally, we show how this measure of dispersion can be used for the design of optimal experiments, with equivalence to $A$ and $D$-optimal design for $k=1$ and $k=d$, respectively. Simple illustrative examples are presented." @default.
- W2342860571 created "2016-06-24" @default.
- W2342860571 creator A5041865892 @default.
- W2342860571 creator A5044944217 @default.
- W2342860571 creator A5065172367 @default.
- W2342860571 date "2017-11-01" @default.
- W2342860571 modified "2023-09-30" @default.
- W2342860571 title "Extended generalised variances, with applications" @default.
- W2342860571 cites W1974769415 @default.
- W2342860571 cites W1978042554 @default.
- W2342860571 cites W1979583956 @default.
- W2342860571 cites W1981569891 @default.
- W2342860571 cites W2000015806 @default.
- W2342860571 cites W2017351261 @default.
- W2342860571 cites W2019045267 @default.
- W2342860571 cites W2040491979 @default.
- W2342860571 cites W2041769632 @default.
- W2342860571 cites W2064868327 @default.
- W2342860571 cites W2071489416 @default.
- W2342860571 cites W2088105585 @default.
- W2342860571 cites W2092134757 @default.
- W2342860571 cites W2111786159 @default.
- W2342860571 cites W2129802470 @default.
- W2342860571 cites W2317739826 @default.
- W2342860571 cites W2797333853 @default.
- W2342860571 cites W4233536583 @default.
- W2342860571 cites W4236893814 @default.
- W2342860571 cites W4237207987 @default.
- W2342860571 doi "https://doi.org/10.3150/16-bej821" @default.
- W2342860571 hasPublicationYear "2017" @default.
- W2342860571 type Work @default.
- W2342860571 sameAs 2342860571 @default.
- W2342860571 citedByCount "7" @default.
- W2342860571 countsByYear W23428605712018 @default.
- W2342860571 countsByYear W23428605712019 @default.
- W2342860571 countsByYear W23428605712020 @default.
- W2342860571 countsByYear W23428605712022 @default.
- W2342860571 crossrefType "journal-article" @default.
- W2342860571 hasAuthorship W2342860571A5041865892 @default.
- W2342860571 hasAuthorship W2342860571A5044944217 @default.
- W2342860571 hasAuthorship W2342860571A5065172367 @default.
- W2342860571 hasBestOaLocation W23428605711 @default.
- W2342860571 hasConcept C105795698 @default.
- W2342860571 hasConcept C110121322 @default.
- W2342860571 hasConcept C114614502 @default.
- W2342860571 hasConcept C118615104 @default.
- W2342860571 hasConcept C120665830 @default.
- W2342860571 hasConcept C121332964 @default.
- W2342860571 hasConcept C134306372 @default.
- W2342860571 hasConcept C158693339 @default.
- W2342860571 hasConcept C177562468 @default.
- W2342860571 hasConcept C178650346 @default.
- W2342860571 hasConcept C181243257 @default.
- W2342860571 hasConcept C185142706 @default.
- W2342860571 hasConcept C185429906 @default.
- W2342860571 hasConcept C2780009758 @default.
- W2342860571 hasConcept C2780069185 @default.
- W2342860571 hasConcept C28826006 @default.
- W2342860571 hasConcept C33676613 @default.
- W2342860571 hasConcept C33923547 @default.
- W2342860571 hasConcept C41008148 @default.
- W2342860571 hasConcept C62520636 @default.
- W2342860571 hasConcept C77088390 @default.
- W2342860571 hasConceptScore W2342860571C105795698 @default.
- W2342860571 hasConceptScore W2342860571C110121322 @default.
- W2342860571 hasConceptScore W2342860571C114614502 @default.
- W2342860571 hasConceptScore W2342860571C118615104 @default.
- W2342860571 hasConceptScore W2342860571C120665830 @default.
- W2342860571 hasConceptScore W2342860571C121332964 @default.
- W2342860571 hasConceptScore W2342860571C134306372 @default.
- W2342860571 hasConceptScore W2342860571C158693339 @default.
- W2342860571 hasConceptScore W2342860571C177562468 @default.
- W2342860571 hasConceptScore W2342860571C178650346 @default.
- W2342860571 hasConceptScore W2342860571C181243257 @default.
- W2342860571 hasConceptScore W2342860571C185142706 @default.
- W2342860571 hasConceptScore W2342860571C185429906 @default.
- W2342860571 hasConceptScore W2342860571C2780009758 @default.
- W2342860571 hasConceptScore W2342860571C2780069185 @default.
- W2342860571 hasConceptScore W2342860571C28826006 @default.
- W2342860571 hasConceptScore W2342860571C33676613 @default.
- W2342860571 hasConceptScore W2342860571C33923547 @default.
- W2342860571 hasConceptScore W2342860571C41008148 @default.
- W2342860571 hasConceptScore W2342860571C62520636 @default.
- W2342860571 hasConceptScore W2342860571C77088390 @default.
- W2342860571 hasIssue "4A" @default.
- W2342860571 hasLocation W23428605711 @default.
- W2342860571 hasLocation W23428605712 @default.
- W2342860571 hasLocation W23428605713 @default.
- W2342860571 hasLocation W23428605714 @default.
- W2342860571 hasLocation W23428605715 @default.
- W2342860571 hasLocation W23428605716 @default.
- W2342860571 hasLocation W23428605717 @default.
- W2342860571 hasOpenAccess W2342860571 @default.
- W2342860571 hasPrimaryLocation W23428605711 @default.
- W2342860571 hasRelatedWork W1484942309 @default.
- W2342860571 hasRelatedWork W2030175829 @default.
- W2342860571 hasRelatedWork W2032320744 @default.
- W2342860571 hasRelatedWork W2066191160 @default.
- W2342860571 hasRelatedWork W2077618113 @default.
- W2342860571 hasRelatedWork W2884427857 @default.