FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2134461740> ?p ?o ?g. }

• W2134461740 endingPage "71" @default.
• W2134461740 startingPage "71" @default.
• W2134461740 abstract "Cavalieri sampling is often used to estimate the volume of an object with systematic sections a constant distance T apart. The variance of the corresponding estimator can be expressed as the sum of the extension term (which gives the overall trend of the variance and is used to estimate it), the 'Zitterbewegung' (which oscillates about zero) and higher order terms. The extension term is of order T2m+2 for small T, where m is the order of the first non-continuous derivative of the measurement function f, (namely of the area function if the target is the volume). A key condition is that the jumps of the mth derivative f (m) of f are finite. When this is not the case, then the variance exhibits a fractional trend, and the current theory fails. Indeed, in practice the mentioned trend is often of order T2q+2, typically with 0 <q <1. We obtain a general representation of the variance, and thereby of the extension term, by means of a new Euler-MacLaurin formula involving fractional derivatives of f. We also present a new and general estimator of the variance, see Eq. 26a, b, and apply it to real data (white matter of a human brain)." @default.
• W2134461740 created "2016-06-24" @default.
• W2134461740 creator A5001767680 @default.
• W2134461740 creator A5037958693 @default.
• W2134461740 date "2011-05-03" @default.
• W2134461740 modified "2023-10-18" @default.
• W2134461740 title "FRACTIONAL TREND OF THE VARIANCE IN CAVALIERI SAMPLING" @default.
• W2134461740 cites W1984325684 @default.
• W2134461740 cites W2005102540 @default.
• W2134461740 cites W2030761911 @default.
• W2134461740 cites W2120062331 @default.
• W2134461740 cites W2125498681 @default.
• W2134461740 cites W2325969613 @default.
• W2134461740 cites W2596748377 @default.
• W2134461740 cites W436320942 @default.
• W2134461740 doi "https://doi.org/10.5566/ias.v19.p71-79" @default.
• W2134461740 hasPublicationYear "2011" @default.
• W2134461740 type Work @default.
• W2134461740 sameAs 2134461740 @default.
• W2134461740 citedByCount "18" @default.
• W2134461740 crossrefType "journal-article" @default.
• W2134461740 hasAuthorship W2134461740A5001767680 @default.
• W2134461740 hasAuthorship W2134461740A5037958693 @default.
• W2134461740 hasBestOaLocation W21344617401 @default.
• W2134461740 hasConcept C10138342 @default.
• W2134461740 hasConcept C105795698 @default.
• W2134461740 hasConcept C106159729 @default.
• W2134461740 hasConcept C111771559 @default.
• W2134461740 hasConcept C121332964 @default.
• W2134461740 hasConcept C121955636 @default.
• W2134461740 hasConcept C134306372 @default.
• W2134461740 hasConcept C138885662 @default.
• W2134461740 hasConcept C14036430 @default.
• W2134461740 hasConcept C144133560 @default.
• W2134461740 hasConcept C154249771 @default.
• W2134461740 hasConcept C162324750 @default.
• W2134461740 hasConcept C17744445 @default.
• W2134461740 hasConcept C182306322 @default.
• W2134461740 hasConcept C185429906 @default.
• W2134461740 hasConcept C196083921 @default.
• W2134461740 hasConcept C199360897 @default.
• W2134461740 hasConcept C199539241 @default.
• W2134461740 hasConcept C2776359362 @default.
• W2134461740 hasConcept C2777027219 @default.
• W2134461740 hasConcept C2778029271 @default.
• W2134461740 hasConcept C2780813799 @default.
• W2134461740 hasConcept C28826006 @default.
• W2134461740 hasConcept C33923547 @default.
• W2134461740 hasConcept C41008148 @default.
• W2134461740 hasConcept C41895202 @default.
• W2134461740 hasConcept C61797465 @default.
• W2134461740 hasConcept C62520636 @default.
• W2134461740 hasConcept C78458016 @default.
• W2134461740 hasConcept C86803240 @default.
• W2134461740 hasConcept C94625758 @default.
• W2134461740 hasConceptScore W2134461740C10138342 @default.
• W2134461740 hasConceptScore W2134461740C105795698 @default.
• W2134461740 hasConceptScore W2134461740C106159729 @default.
• W2134461740 hasConceptScore W2134461740C111771559 @default.
• W2134461740 hasConceptScore W2134461740C121332964 @default.
• W2134461740 hasConceptScore W2134461740C121955636 @default.
• W2134461740 hasConceptScore W2134461740C134306372 @default.
• W2134461740 hasConceptScore W2134461740C138885662 @default.
• W2134461740 hasConceptScore W2134461740C14036430 @default.
• W2134461740 hasConceptScore W2134461740C144133560 @default.
• W2134461740 hasConceptScore W2134461740C154249771 @default.
• W2134461740 hasConceptScore W2134461740C162324750 @default.
• W2134461740 hasConceptScore W2134461740C17744445 @default.
• W2134461740 hasConceptScore W2134461740C182306322 @default.
• W2134461740 hasConceptScore W2134461740C185429906 @default.
• W2134461740 hasConceptScore W2134461740C196083921 @default.
• W2134461740 hasConceptScore W2134461740C199360897 @default.
• W2134461740 hasConceptScore W2134461740C199539241 @default.
• W2134461740 hasConceptScore W2134461740C2776359362 @default.
• W2134461740 hasConceptScore W2134461740C2777027219 @default.
• W2134461740 hasConceptScore W2134461740C2778029271 @default.
• W2134461740 hasConceptScore W2134461740C2780813799 @default.
• W2134461740 hasConceptScore W2134461740C28826006 @default.
• W2134461740 hasConceptScore W2134461740C33923547 @default.
• W2134461740 hasConceptScore W2134461740C41008148 @default.
• W2134461740 hasConceptScore W2134461740C41895202 @default.
• W2134461740 hasConceptScore W2134461740C61797465 @default.
• W2134461740 hasConceptScore W2134461740C62520636 @default.
• W2134461740 hasConceptScore W2134461740C78458016 @default.
• W2134461740 hasConceptScore W2134461740C86803240 @default.
• W2134461740 hasConceptScore W2134461740C94625758 @default.
• W2134461740 hasIssue "2" @default.
• W2134461740 hasLocation W21344617401 @default.
• W2134461740 hasLocation W21344617402 @default.
• W2134461740 hasOpenAccess W2134461740 @default.
• W2134461740 hasPrimaryLocation W21344617401 @default.
• W2134461740 hasRelatedWork W1994910710 @default.
• W2134461740 hasRelatedWork W2017052259 @default.
• W2134461740 hasRelatedWork W2109135198 @default.
• W2134461740 hasRelatedWork W2152704622 @default.
• W2134461740 hasRelatedWork W2182921069 @default.
• W2134461740 hasRelatedWork W2746366400 @default.
• W2134461740 hasRelatedWork W2802664802 @default.

• next