Matches in SemOpenAlex for { <https://semopenalex.org/work/W4365146203> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W4365146203 endingPage "21" @default.
- W4365146203 startingPage "1" @default.
- W4365146203 abstract "Abstract An extension of Shannon’s entropy power inequality when one of the summands is Gaussian was provided by Costa in 1985, known as Costa’s concavity inequality. We consider the additive Gaussian noise channel with a more realistic assumption, i.e. the input and noise components are not independent and their dependence structure follows the well-known multivariate Gaussian copula. Two generalizations for the first- and second-order derivatives of the differential entropy of the output signal for dependent multivariate random variables are derived. It is shown that some previous results in the literature are particular versions of our results. Using these derivatives, concavity of the entropy power, under certain mild conditions, is proved. Finally, special one-dimensional versions of our general results are described which indeed reveal an extension of the one-dimensional case of Costa’s concavity inequality to the dependent case. An illustrative example is also presented." @default.
- W4365146203 created "2023-04-13" @default.
- W4365146203 creator A5000897626 @default.
- W4365146203 creator A5015677117 @default.
- W4365146203 date "2023-04-12" @default.
- W4365146203 modified "2023-10-01" @default.
- W4365146203 title "Costa’s concavity inequality for dependent variables based on the multivariate Gaussian copula" @default.
- W4365146203 cites W2002867407 @default.
- W4365146203 cites W2030546921 @default.
- W4365146203 cites W2033020033 @default.
- W4365146203 cites W2043371182 @default.
- W4365146203 cites W2057562582 @default.
- W4365146203 cites W2096751391 @default.
- W4365146203 cites W2135997380 @default.
- W4365146203 cites W2150732790 @default.
- W4365146203 cites W2154221712 @default.
- W4365146203 cites W2171750587 @default.
- W4365146203 cites W2441940966 @default.
- W4365146203 cites W2507039649 @default.
- W4365146203 cites W2914399796 @default.
- W4365146203 cites W2993383518 @default.
- W4365146203 cites W3082700798 @default.
- W4365146203 doi "https://doi.org/10.1017/jpr.2022.128" @default.
- W4365146203 hasPublicationYear "2023" @default.
- W4365146203 type Work @default.
- W4365146203 citedByCount "0" @default.
- W4365146203 crossrefType "journal-article" @default.
- W4365146203 hasAuthorship W4365146203A5000897626 @default.
- W4365146203 hasAuthorship W4365146203A5015677117 @default.
- W4365146203 hasConcept C105795698 @default.
- W4365146203 hasConcept C106301342 @default.
- W4365146203 hasConcept C121332964 @default.
- W4365146203 hasConcept C122123141 @default.
- W4365146203 hasConcept C124551494 @default.
- W4365146203 hasConcept C125252325 @default.
- W4365146203 hasConcept C142611142 @default.
- W4365146203 hasConcept C149782125 @default.
- W4365146203 hasConcept C161584116 @default.
- W4365146203 hasConcept C163716315 @default.
- W4365146203 hasConcept C17618745 @default.
- W4365146203 hasConcept C177384507 @default.
- W4365146203 hasConcept C28826006 @default.
- W4365146203 hasConcept C320580 @default.
- W4365146203 hasConcept C33923547 @default.
- W4365146203 hasConcept C44415725 @default.
- W4365146203 hasConcept C62520636 @default.
- W4365146203 hasConcept C9679016 @default.
- W4365146203 hasConceptScore W4365146203C105795698 @default.
- W4365146203 hasConceptScore W4365146203C106301342 @default.
- W4365146203 hasConceptScore W4365146203C121332964 @default.
- W4365146203 hasConceptScore W4365146203C122123141 @default.
- W4365146203 hasConceptScore W4365146203C124551494 @default.
- W4365146203 hasConceptScore W4365146203C125252325 @default.
- W4365146203 hasConceptScore W4365146203C142611142 @default.
- W4365146203 hasConceptScore W4365146203C149782125 @default.
- W4365146203 hasConceptScore W4365146203C161584116 @default.
- W4365146203 hasConceptScore W4365146203C163716315 @default.
- W4365146203 hasConceptScore W4365146203C17618745 @default.
- W4365146203 hasConceptScore W4365146203C177384507 @default.
- W4365146203 hasConceptScore W4365146203C28826006 @default.
- W4365146203 hasConceptScore W4365146203C320580 @default.
- W4365146203 hasConceptScore W4365146203C33923547 @default.
- W4365146203 hasConceptScore W4365146203C44415725 @default.
- W4365146203 hasConceptScore W4365146203C62520636 @default.
- W4365146203 hasConceptScore W4365146203C9679016 @default.
- W4365146203 hasLocation W43651462031 @default.
- W4365146203 hasOpenAccess W4365146203 @default.
- W4365146203 hasPrimaryLocation W43651462031 @default.
- W4365146203 hasRelatedWork W2034723588 @default.
- W4365146203 hasRelatedWork W2069071813 @default.
- W4365146203 hasRelatedWork W2276624678 @default.
- W4365146203 hasRelatedWork W2783062920 @default.
- W4365146203 hasRelatedWork W2786019016 @default.
- W4365146203 hasRelatedWork W2952065239 @default.
- W4365146203 hasRelatedWork W2980939650 @default.
- W4365146203 hasRelatedWork W3123734250 @default.
- W4365146203 hasRelatedWork W4301387713 @default.
- W4365146203 hasRelatedWork W4365146203 @default.
- W4365146203 isParatext "false" @default.
- W4365146203 isRetracted "false" @default.
- W4365146203 workType "article" @default.