Matches in SemOpenAlex for { <https://semopenalex.org/work/W3147254601> ?p ?o ?g. }
- W3147254601 endingPage "82" @default.
- W3147254601 startingPage "57" @default.
- W3147254601 abstract "Empirical optimal transport (OT) plans and distances provide effective tools to compare and statistically match probability measures defined on a given ground space. Fundamental to this are distributional limit laws, and we derive a central limit theorem for the empirical OT distance of circular data. Our limit results require only mild assumptions in general and include prominent examples such as the von Mises or wrapped Cauchy family. Most notably, no assumptions are required when data are sampled from the probability measure to be compared with, which is in strict contrast to the real line. A bootstrap principle follows immediately as our proof relies on Hadamard differentiability of the OT functional. This paves the way for a variety of statistical inference tasks and is exemplified for asymptotic OT-based goodness of fit testing for circular distributions. We discuss numerical implementation, consistency and investigate its statistical power. For testing uniformity, it turns out that this approach performs particularly well for unimodal alternatives and is almost as powerful as Rayleigh’s test, the most powerful invariant test for von Mises alternatives. For regimes with many modes, the circular OT test is less powerful which is explained by the shape of the corresponding transport plan." @default.
- W3147254601 created "2021-04-13" @default.
- W3147254601 creator A5000518600 @default.
- W3147254601 creator A5006573553 @default.
- W3147254601 creator A5087767807 @default.
- W3147254601 date "2022-01-01" @default.
- W3147254601 modified "2023-10-09" @default.
- W3147254601 title "The Statistics of Circular Optimal Transport" @default.
- W3147254601 cites W1585160083 @default.
- W3147254601 cites W2003296357 @default.
- W3147254601 cites W2010353172 @default.
- W3147254601 cites W2026309708 @default.
- W3147254601 cites W2030532031 @default.
- W3147254601 cites W2032770461 @default.
- W3147254601 cites W2036867675 @default.
- W3147254601 cites W2067756509 @default.
- W3147254601 cites W2074979815 @default.
- W3147254601 cites W2077079869 @default.
- W3147254601 cites W2079082863 @default.
- W3147254601 cites W2083454075 @default.
- W3147254601 cites W2084887650 @default.
- W3147254601 cites W2126710118 @default.
- W3147254601 cites W2127510889 @default.
- W3147254601 cites W2133479700 @default.
- W3147254601 cites W2139297600 @default.
- W3147254601 cites W2143668817 @default.
- W3147254601 cites W2211336473 @default.
- W3147254601 cites W2314070880 @default.
- W3147254601 cites W2530578841 @default.
- W3147254601 cites W2530707152 @default.
- W3147254601 cites W2735418187 @default.
- W3147254601 cites W2755999002 @default.
- W3147254601 cites W2802739963 @default.
- W3147254601 cites W2807841289 @default.
- W3147254601 cites W2877886245 @default.
- W3147254601 cites W2911279170 @default.
- W3147254601 cites W2948017360 @default.
- W3147254601 cites W2963047551 @default.
- W3147254601 cites W2964015493 @default.
- W3147254601 cites W2966365050 @default.
- W3147254601 cites W2981135150 @default.
- W3147254601 cites W3033420020 @default.
- W3147254601 cites W3105132204 @default.
- W3147254601 cites W3136774635 @default.
- W3147254601 cites W4206471589 @default.
- W3147254601 cites W4229685370 @default.
- W3147254601 cites W4237138543 @default.
- W3147254601 cites W4248568024 @default.
- W3147254601 cites W4255839052 @default.
- W3147254601 doi "https://doi.org/10.1007/978-981-19-1044-9_4" @default.
- W3147254601 hasPublicationYear "2022" @default.
- W3147254601 type Work @default.
- W3147254601 sameAs 3147254601 @default.
- W3147254601 citedByCount "2" @default.
- W3147254601 countsByYear W31472546012023 @default.
- W3147254601 crossrefType "book-chapter" @default.
- W3147254601 hasAuthorship W3147254601A5000518600 @default.
- W3147254601 hasAuthorship W3147254601A5006573553 @default.
- W3147254601 hasAuthorship W3147254601A5087767807 @default.
- W3147254601 hasBestOaLocation W31472546012 @default.
- W3147254601 hasConcept C105795698 @default.
- W3147254601 hasConcept C121332964 @default.
- W3147254601 hasConcept C134261354 @default.
- W3147254601 hasConcept C134306372 @default.
- W3147254601 hasConcept C135628077 @default.
- W3147254601 hasConcept C151201525 @default.
- W3147254601 hasConcept C155165730 @default.
- W3147254601 hasConcept C166785042 @default.
- W3147254601 hasConcept C198138136 @default.
- W3147254601 hasConcept C2524010 @default.
- W3147254601 hasConcept C2776436953 @default.
- W3147254601 hasConcept C28826006 @default.
- W3147254601 hasConcept C33923547 @default.
- W3147254601 hasConcept C49344536 @default.
- W3147254601 hasConcept C87007009 @default.
- W3147254601 hasConcept C97355855 @default.
- W3147254601 hasConceptScore W3147254601C105795698 @default.
- W3147254601 hasConceptScore W3147254601C121332964 @default.
- W3147254601 hasConceptScore W3147254601C134261354 @default.
- W3147254601 hasConceptScore W3147254601C134306372 @default.
- W3147254601 hasConceptScore W3147254601C135628077 @default.
- W3147254601 hasConceptScore W3147254601C151201525 @default.
- W3147254601 hasConceptScore W3147254601C155165730 @default.
- W3147254601 hasConceptScore W3147254601C166785042 @default.
- W3147254601 hasConceptScore W3147254601C198138136 @default.
- W3147254601 hasConceptScore W3147254601C2524010 @default.
- W3147254601 hasConceptScore W3147254601C2776436953 @default.
- W3147254601 hasConceptScore W3147254601C28826006 @default.
- W3147254601 hasConceptScore W3147254601C33923547 @default.
- W3147254601 hasConceptScore W3147254601C49344536 @default.
- W3147254601 hasConceptScore W3147254601C87007009 @default.
- W3147254601 hasConceptScore W3147254601C97355855 @default.
- W3147254601 hasLocation W31472546011 @default.
- W3147254601 hasLocation W31472546012 @default.
- W3147254601 hasOpenAccess W3147254601 @default.
- W3147254601 hasPrimaryLocation W31472546011 @default.
- W3147254601 hasRelatedWork W1979784219 @default.
- W3147254601 hasRelatedWork W2098620699 @default.