Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950463727> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2950463727 abstract "We derive new explicit bounds for the total variation distance between two convolution products of $n$ probability distributions, one of which having identical convolution factors. Approximations by finite signed measures of arbitrary order are considered as well. We are interested in bounds with magic factors, i.e. roughly speaking $n$ also appears in the denominator. Special emphasis is given to the approximation by the $n$-fold convolution of the arithmetic mean of the distributions under consideration. As an application, we consider the multinomial approximation of the generalized multinomial distribution. It turns out that here the order of some bounds given in Roos (2001) and Loh (1992) can significantly be improved. In particular, it follows that a dimension factor can be dropped. Moreover, better accuracy is achieved in the context of symmetric distributions with finite support. In the course of proof, we use a basic Banach algebra technique for measures on a measurable Abelian group. Though this method was already used by Le Cam (1960), our central arguments seem to be new. We also derive new smoothness bounds for convolutions of probability distributions, which might be of independent interest." @default.
- W2950463727 created "2019-06-27" @default.
- W2950463727 creator A5067237566 @default.
- W2950463727 date "2008-11-04" @default.
- W2950463727 modified "2023-09-27" @default.
- W2950463727 title "Closeness of convolutions of probability measures" @default.
- W2950463727 cites W1601425725 @default.
- W2950463727 cites W1982576917 @default.
- W2950463727 cites W2015660479 @default.
- W2950463727 cites W2026241988 @default.
- W2950463727 cites W2031431812 @default.
- W2950463727 cites W2063522056 @default.
- W2950463727 cites W2089103828 @default.
- W2950463727 cites W2094799272 @default.
- W2950463727 cites W2095575865 @default.
- W2950463727 cites W2098298292 @default.
- W2950463727 cites W2798655805 @default.
- W2950463727 hasPublicationYear "2008" @default.
- W2950463727 type Work @default.
- W2950463727 sameAs 2950463727 @default.
- W2950463727 citedByCount "0" @default.
- W2950463727 crossrefType "posted-content" @default.
- W2950463727 hasAuthorship W2950463727A5067237566 @default.
- W2950463727 hasConcept C102634674 @default.
- W2950463727 hasConcept C105795698 @default.
- W2950463727 hasConcept C114614502 @default.
- W2950463727 hasConcept C118615104 @default.
- W2950463727 hasConcept C119857082 @default.
- W2950463727 hasConcept C134306372 @default.
- W2950463727 hasConcept C136170076 @default.
- W2950463727 hasConcept C149441793 @default.
- W2950463727 hasConcept C158557763 @default.
- W2950463727 hasConcept C192065140 @default.
- W2950463727 hasConcept C197096303 @default.
- W2950463727 hasConcept C21031990 @default.
- W2950463727 hasConcept C2779545769 @default.
- W2950463727 hasConcept C28826006 @default.
- W2950463727 hasConcept C33923547 @default.
- W2950463727 hasConcept C41008148 @default.
- W2950463727 hasConcept C45347329 @default.
- W2950463727 hasConcept C50644808 @default.
- W2950463727 hasConceptScore W2950463727C102634674 @default.
- W2950463727 hasConceptScore W2950463727C105795698 @default.
- W2950463727 hasConceptScore W2950463727C114614502 @default.
- W2950463727 hasConceptScore W2950463727C118615104 @default.
- W2950463727 hasConceptScore W2950463727C119857082 @default.
- W2950463727 hasConceptScore W2950463727C134306372 @default.
- W2950463727 hasConceptScore W2950463727C136170076 @default.
- W2950463727 hasConceptScore W2950463727C149441793 @default.
- W2950463727 hasConceptScore W2950463727C158557763 @default.
- W2950463727 hasConceptScore W2950463727C192065140 @default.
- W2950463727 hasConceptScore W2950463727C197096303 @default.
- W2950463727 hasConceptScore W2950463727C21031990 @default.
- W2950463727 hasConceptScore W2950463727C2779545769 @default.
- W2950463727 hasConceptScore W2950463727C28826006 @default.
- W2950463727 hasConceptScore W2950463727C33923547 @default.
- W2950463727 hasConceptScore W2950463727C41008148 @default.
- W2950463727 hasConceptScore W2950463727C45347329 @default.
- W2950463727 hasConceptScore W2950463727C50644808 @default.
- W2950463727 hasLocation W29504637271 @default.
- W2950463727 hasOpenAccess W2950463727 @default.
- W2950463727 hasPrimaryLocation W29504637271 @default.
- W2950463727 hasRelatedWork W147630880 @default.
- W2950463727 hasRelatedWork W1496467656 @default.
- W2950463727 hasRelatedWork W1724455341 @default.
- W2950463727 hasRelatedWork W2069690626 @default.
- W2950463727 hasRelatedWork W2133849580 @default.
- W2950463727 hasRelatedWork W2231619971 @default.
- W2950463727 hasRelatedWork W2949243362 @default.
- W2950463727 hasRelatedWork W2951237229 @default.
- W2950463727 hasRelatedWork W2951239126 @default.
- W2950463727 hasRelatedWork W2952168204 @default.
- W2950463727 hasRelatedWork W2998511779 @default.
- W2950463727 hasRelatedWork W3014264020 @default.
- W2950463727 hasRelatedWork W3021362503 @default.
- W2950463727 hasRelatedWork W3033389403 @default.
- W2950463727 hasRelatedWork W3037783236 @default.
- W2950463727 hasRelatedWork W3047023186 @default.
- W2950463727 hasRelatedWork W3103161841 @default.
- W2950463727 hasRelatedWork W3104898351 @default.
- W2950463727 hasRelatedWork W3114241195 @default.
- W2950463727 hasRelatedWork W3129138261 @default.
- W2950463727 isParatext "false" @default.
- W2950463727 isRetracted "false" @default.
- W2950463727 magId "2950463727" @default.
- W2950463727 workType "article" @default.