Matches in SemOpenAlex for { <https://semopenalex.org/work/W2170434883> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2170434883 endingPage "678" @default.
- W2170434883 startingPage "660" @default.
- W2170434883 abstract "The problem of identifying solutions of general convolution equations relative to a group has been studied in two classical papers by Choquet and Deny (1960) and Deny (1961). Recently, Lau and Rao (1982) have considered the analogous problem relative to a certain semigroup of the real line, which extends the results of Marsaglia and Tubilla (1975) and a lemma of Shanbhag (1977). The extended versions of Deny&s theorem contained in the papers by Lau and Rao, and Shanbhag (which we refer to as LRS theorems) yield as special cases improved versions of several characterizations of exponential, Weibull, stable, Pareto, geometric, Poisson and negative binomial distributions obtained by various authors during the last few years. In this paper we review some of the recent contributions to characterization of probability distributions (whose authors do not seem to be aware of LRS theorems or special cases existing earlier) and show how improved versions of these results follow as immediate corollaries to LRS theorems. We also give a short proof of Lau–Rao theorem based on Deny&s theorem and thus establish a direct link between the results of Deny (1961) and those of Lau and Rao (1982). A variant of Lau–Rao theorem is proved and applied to some characterization problems." @default.
- W2170434883 created "2016-06-24" @default.
- W2170434883 creator A5003136641 @default.
- W2170434883 creator A5066134934 @default.
- W2170434883 date "1986-09-01" @default.
- W2170434883 modified "2023-09-26" @default.
- W2170434883 title "Recent results on characterization of probability distributions: a unified approach through extensions of Deny&s theorem" @default.
- W2170434883 cites W2012723569 @default.
- W2170434883 cites W2051555397 @default.
- W2170434883 cites W2076741411 @default.
- W2170434883 cites W2087316149 @default.
- W2170434883 cites W2150828785 @default.
- W2170434883 cites W2313650537 @default.
- W2170434883 cites W2325495305 @default.
- W2170434883 cites W2331565967 @default.
- W2170434883 cites W4247121279 @default.
- W2170434883 cites W4248030857 @default.
- W2170434883 cites W4255948505 @default.
- W2170434883 cites W84007945 @default.
- W2170434883 doi "https://doi.org/10.2307/1427182" @default.
- W2170434883 hasPublicationYear "1986" @default.
- W2170434883 type Work @default.
- W2170434883 sameAs 2170434883 @default.
- W2170434883 citedByCount "60" @default.
- W2170434883 countsByYear W21704348832012 @default.
- W2170434883 countsByYear W21704348832014 @default.
- W2170434883 countsByYear W21704348832017 @default.
- W2170434883 countsByYear W21704348832021 @default.
- W2170434883 countsByYear W21704348832022 @default.
- W2170434883 crossrefType "journal-article" @default.
- W2170434883 hasAuthorship W2170434883A5003136641 @default.
- W2170434883 hasAuthorship W2170434883A5066134934 @default.
- W2170434883 hasConcept C105795698 @default.
- W2170434883 hasConcept C118615104 @default.
- W2170434883 hasConcept C119857082 @default.
- W2170434883 hasConcept C144237770 @default.
- W2170434883 hasConcept C171250308 @default.
- W2170434883 hasConcept C18903297 @default.
- W2170434883 hasConcept C192562407 @default.
- W2170434883 hasConcept C202444582 @default.
- W2170434883 hasConcept C2777759810 @default.
- W2170434883 hasConcept C2780841128 @default.
- W2170434883 hasConcept C2781315470 @default.
- W2170434883 hasConcept C33923547 @default.
- W2170434883 hasConcept C41008148 @default.
- W2170434883 hasConcept C45347329 @default.
- W2170434883 hasConcept C46757340 @default.
- W2170434883 hasConcept C50644808 @default.
- W2170434883 hasConcept C86803240 @default.
- W2170434883 hasConceptScore W2170434883C105795698 @default.
- W2170434883 hasConceptScore W2170434883C118615104 @default.
- W2170434883 hasConceptScore W2170434883C119857082 @default.
- W2170434883 hasConceptScore W2170434883C144237770 @default.
- W2170434883 hasConceptScore W2170434883C171250308 @default.
- W2170434883 hasConceptScore W2170434883C18903297 @default.
- W2170434883 hasConceptScore W2170434883C192562407 @default.
- W2170434883 hasConceptScore W2170434883C202444582 @default.
- W2170434883 hasConceptScore W2170434883C2777759810 @default.
- W2170434883 hasConceptScore W2170434883C2780841128 @default.
- W2170434883 hasConceptScore W2170434883C2781315470 @default.
- W2170434883 hasConceptScore W2170434883C33923547 @default.
- W2170434883 hasConceptScore W2170434883C41008148 @default.
- W2170434883 hasConceptScore W2170434883C45347329 @default.
- W2170434883 hasConceptScore W2170434883C46757340 @default.
- W2170434883 hasConceptScore W2170434883C50644808 @default.
- W2170434883 hasConceptScore W2170434883C86803240 @default.
- W2170434883 hasIssue "3" @default.
- W2170434883 hasLocation W21704348831 @default.
- W2170434883 hasOpenAccess W2170434883 @default.
- W2170434883 hasPrimaryLocation W21704348831 @default.
- W2170434883 hasRelatedWork W1810718089 @default.
- W2170434883 hasRelatedWork W2010920722 @default.
- W2170434883 hasRelatedWork W2024600207 @default.
- W2170434883 hasRelatedWork W2029026024 @default.
- W2170434883 hasRelatedWork W2032611290 @default.
- W2170434883 hasRelatedWork W2092794327 @default.
- W2170434883 hasRelatedWork W2112445562 @default.
- W2170434883 hasRelatedWork W2329424818 @default.
- W2170434883 hasRelatedWork W2941394577 @default.
- W2170434883 hasRelatedWork W2972930899 @default.
- W2170434883 hasVolume "18" @default.
- W2170434883 isParatext "false" @default.
- W2170434883 isRetracted "false" @default.
- W2170434883 magId "2170434883" @default.
- W2170434883 workType "article" @default.