Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022798332> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2022798332 endingPage "371" @default.
- W2022798332 startingPage "357" @default.
- W2022798332 abstract "Let λ=(λ1,…,λn), λ1 ⩽…⩽λn, and x =(x1, x2,…, xn). A function f(λ,x) is said to be arrangement increasing (AI) if (i) ƒ is permutation invariant in both arguments λ and x, and (ii) ƒ(λ, x) ⩾ ƒ(λ, x′) whenever x and x′ differ in two coordinates only, say i and j, (xi-xj)(i–j)⩾0, and xi′=xj, xj′=xi. This paper reviews concepts and many of the basic properties of AI functions, their preservation properties under mixtures, compositions and integral transformations. The AI class of functions includes as special cases other well-known classes of functions such as Schur functions, totally positive functions of order two and positive set functions. We present a number of applications of AI functions to problems in probability, statistics, reliability theory and mathematics. A multivariate extension of the arrangement ordering is also reviewed." @default.
- W2022798332 created "2016-06-24" @default.
- W2022798332 creator A5058517926 @default.
- W2022798332 creator A5078151206 @default.
- W2022798332 date "1995-04-01" @default.
- W2022798332 modified "2023-10-14" @default.
- W2022798332 title "A review: The arrangement increasing partial ordering" @default.
- W2022798332 cites W1964410534 @default.
- W2022798332 cites W1970733731 @default.
- W2022798332 cites W1972504074 @default.
- W2022798332 cites W1973151204 @default.
- W2022798332 cites W1976041942 @default.
- W2022798332 cites W2017216603 @default.
- W2022798332 cites W2025689821 @default.
- W2022798332 cites W2038425909 @default.
- W2022798332 cites W2038862688 @default.
- W2022798332 cites W2043612807 @default.
- W2022798332 cites W2052514130 @default.
- W2022798332 cites W2061266426 @default.
- W2022798332 cites W2068697361 @default.
- W2022798332 cites W2093591145 @default.
- W2022798332 cites W2114711464 @default.
- W2022798332 cites W2137359697 @default.
- W2022798332 cites W2321257387 @default.
- W2022798332 cites W2332631515 @default.
- W2022798332 cites W2508109141 @default.
- W2022798332 cites W4238120336 @default.
- W2022798332 cites W4254227447 @default.
- W2022798332 cites W4255907263 @default.
- W2022798332 doi "https://doi.org/10.1016/0305-0548(94)00045-a" @default.
- W2022798332 hasPublicationYear "1995" @default.
- W2022798332 type Work @default.
- W2022798332 sameAs 2022798332 @default.
- W2022798332 citedByCount "5" @default.
- W2022798332 countsByYear W20227983322022 @default.
- W2022798332 crossrefType "journal-article" @default.
- W2022798332 hasAuthorship W2022798332A5058517926 @default.
- W2022798332 hasAuthorship W2022798332A5078151206 @default.
- W2022798332 hasConcept C10138342 @default.
- W2022798332 hasConcept C114614502 @default.
- W2022798332 hasConcept C118615104 @default.
- W2022798332 hasConcept C121332964 @default.
- W2022798332 hasConcept C14036430 @default.
- W2022798332 hasConcept C154945302 @default.
- W2022798332 hasConcept C162324750 @default.
- W2022798332 hasConcept C180645754 @default.
- W2022798332 hasConcept C182306322 @default.
- W2022798332 hasConcept C182359184 @default.
- W2022798332 hasConcept C190470478 @default.
- W2022798332 hasConcept C21308566 @default.
- W2022798332 hasConcept C24890656 @default.
- W2022798332 hasConcept C2777212361 @default.
- W2022798332 hasConcept C33923547 @default.
- W2022798332 hasConcept C37914503 @default.
- W2022798332 hasConcept C41008148 @default.
- W2022798332 hasConcept C78458016 @default.
- W2022798332 hasConcept C86803240 @default.
- W2022798332 hasConceptScore W2022798332C10138342 @default.
- W2022798332 hasConceptScore W2022798332C114614502 @default.
- W2022798332 hasConceptScore W2022798332C118615104 @default.
- W2022798332 hasConceptScore W2022798332C121332964 @default.
- W2022798332 hasConceptScore W2022798332C14036430 @default.
- W2022798332 hasConceptScore W2022798332C154945302 @default.
- W2022798332 hasConceptScore W2022798332C162324750 @default.
- W2022798332 hasConceptScore W2022798332C180645754 @default.
- W2022798332 hasConceptScore W2022798332C182306322 @default.
- W2022798332 hasConceptScore W2022798332C182359184 @default.
- W2022798332 hasConceptScore W2022798332C190470478 @default.
- W2022798332 hasConceptScore W2022798332C21308566 @default.
- W2022798332 hasConceptScore W2022798332C24890656 @default.
- W2022798332 hasConceptScore W2022798332C2777212361 @default.
- W2022798332 hasConceptScore W2022798332C33923547 @default.
- W2022798332 hasConceptScore W2022798332C37914503 @default.
- W2022798332 hasConceptScore W2022798332C41008148 @default.
- W2022798332 hasConceptScore W2022798332C78458016 @default.
- W2022798332 hasConceptScore W2022798332C86803240 @default.
- W2022798332 hasIssue "4" @default.
- W2022798332 hasLocation W20227983321 @default.
- W2022798332 hasOpenAccess W2022798332 @default.
- W2022798332 hasPrimaryLocation W20227983321 @default.
- W2022798332 hasRelatedWork W1963087247 @default.
- W2022798332 hasRelatedWork W2041561968 @default.
- W2022798332 hasRelatedWork W2064932740 @default.
- W2022798332 hasRelatedWork W2103305144 @default.
- W2022798332 hasRelatedWork W2106070061 @default.
- W2022798332 hasRelatedWork W2268820201 @default.
- W2022798332 hasRelatedWork W2347443236 @default.
- W2022798332 hasRelatedWork W2912407587 @default.
- W2022798332 hasRelatedWork W2913232281 @default.
- W2022798332 hasRelatedWork W4205203210 @default.
- W2022798332 hasVolume "22" @default.
- W2022798332 isParatext "false" @default.
- W2022798332 isRetracted "false" @default.
- W2022798332 magId "2022798332" @default.
- W2022798332 workType "article" @default.