Matches in SemOpenAlex for { <https://semopenalex.org/work/W3021006792> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W3021006792 abstract "Two interesting results encountered in the literature concerning the Poisson and the negative binomial distributions are due to MORAN (1952) and PATIL & SESHADRI (1964), respectively. MORAN's result provided a fundamental property of the Poisson distribution. Roughly speaking, he has shown that if Y, Z are independent, non-negative, integer-valued random variables with X=Y | Z then, under some mild restrictions, the conditional distribution of Y | X is binomial if and only if Y, Z are Poisson random variables. Motivated by MORAN's result PATIL & SESHADRI obtained a general characterization. A special case of this characterization suggests that, with conditions similar to those imposed by MORAN, Y | X is negative hypergeometric if and only if Y, Z are negative binomials. In this paper we examine the results of MORAN and PATIL & SESHADRI in the case where the conditional distribution of Y | X is truncated at an arbitrary point k-1 (k=1, 2, …). In fact we attempt to answer the question as to whether MORAN's property of the Poisson distribution, and subsequently PATIL & SESHADRI's property of the negative binomial distribution, can be extended, in one form or another, to the case where Y | X is binomial truncated at k-1 and negative hypergeometric truncated at k-1 respectively" @default.
- W3021006792 created "2020-05-13" @default.
- W3021006792 creator A5065888016 @default.
- W3021006792 date "1983-01-01" @default.
- W3021006792 modified "2023-09-27" @default.
- W3021006792 title "On Moran's Property of the Poisson Distribution" @default.
- W3021006792 hasPublicationYear "1983" @default.
- W3021006792 type Work @default.
- W3021006792 sameAs 3021006792 @default.
- W3021006792 citedByCount "0" @default.
- W3021006792 crossrefType "posted-content" @default.
- W3021006792 hasAuthorship W3021006792A5065888016 @default.
- W3021006792 hasConcept C100906024 @default.
- W3021006792 hasConcept C105795698 @default.
- W3021006792 hasConcept C110121322 @default.
- W3021006792 hasConcept C111472728 @default.
- W3021006792 hasConcept C114614502 @default.
- W3021006792 hasConcept C120665830 @default.
- W3021006792 hasConcept C121332964 @default.
- W3021006792 hasConcept C122123141 @default.
- W3021006792 hasConcept C134306372 @default.
- W3021006792 hasConcept C138885662 @default.
- W3021006792 hasConcept C144024400 @default.
- W3021006792 hasConcept C149923435 @default.
- W3021006792 hasConcept C165480597 @default.
- W3021006792 hasConcept C176671685 @default.
- W3021006792 hasConcept C178174526 @default.
- W3021006792 hasConcept C189950617 @default.
- W3021006792 hasConcept C199335787 @default.
- W3021006792 hasConcept C2780841128 @default.
- W3021006792 hasConcept C2781315470 @default.
- W3021006792 hasConcept C2908647359 @default.
- W3021006792 hasConcept C33923547 @default.
- W3021006792 hasConcept C43555835 @default.
- W3021006792 hasConcept C67417131 @default.
- W3021006792 hasConcept C73269764 @default.
- W3021006792 hasConceptScore W3021006792C100906024 @default.
- W3021006792 hasConceptScore W3021006792C105795698 @default.
- W3021006792 hasConceptScore W3021006792C110121322 @default.
- W3021006792 hasConceptScore W3021006792C111472728 @default.
- W3021006792 hasConceptScore W3021006792C114614502 @default.
- W3021006792 hasConceptScore W3021006792C120665830 @default.
- W3021006792 hasConceptScore W3021006792C121332964 @default.
- W3021006792 hasConceptScore W3021006792C122123141 @default.
- W3021006792 hasConceptScore W3021006792C134306372 @default.
- W3021006792 hasConceptScore W3021006792C138885662 @default.
- W3021006792 hasConceptScore W3021006792C144024400 @default.
- W3021006792 hasConceptScore W3021006792C149923435 @default.
- W3021006792 hasConceptScore W3021006792C165480597 @default.
- W3021006792 hasConceptScore W3021006792C176671685 @default.
- W3021006792 hasConceptScore W3021006792C178174526 @default.
- W3021006792 hasConceptScore W3021006792C189950617 @default.
- W3021006792 hasConceptScore W3021006792C199335787 @default.
- W3021006792 hasConceptScore W3021006792C2780841128 @default.
- W3021006792 hasConceptScore W3021006792C2781315470 @default.
- W3021006792 hasConceptScore W3021006792C2908647359 @default.
- W3021006792 hasConceptScore W3021006792C33923547 @default.
- W3021006792 hasConceptScore W3021006792C43555835 @default.
- W3021006792 hasConceptScore W3021006792C67417131 @default.
- W3021006792 hasConceptScore W3021006792C73269764 @default.
- W3021006792 hasLocation W30210067921 @default.
- W3021006792 hasOpenAccess W3021006792 @default.
- W3021006792 hasPrimaryLocation W30210067921 @default.
- W3021006792 hasRelatedWork W1967725698 @default.
- W3021006792 hasRelatedWork W1998754129 @default.
- W3021006792 hasRelatedWork W2031207935 @default.
- W3021006792 hasRelatedWork W2032158772 @default.
- W3021006792 hasRelatedWork W2061467602 @default.
- W3021006792 hasRelatedWork W2078299412 @default.
- W3021006792 hasRelatedWork W2092718577 @default.
- W3021006792 hasRelatedWork W2282612165 @default.
- W3021006792 hasRelatedWork W2314022390 @default.
- W3021006792 hasRelatedWork W2341182599 @default.
- W3021006792 hasRelatedWork W2349310613 @default.
- W3021006792 hasRelatedWork W2390835424 @default.
- W3021006792 hasRelatedWork W2431092151 @default.
- W3021006792 hasRelatedWork W2918653714 @default.
- W3021006792 hasRelatedWork W3104258954 @default.
- W3021006792 hasRelatedWork W3125047038 @default.
- W3021006792 hasRelatedWork W3134059553 @default.
- W3021006792 hasRelatedWork W3137113924 @default.
- W3021006792 hasRelatedWork W3144626232 @default.
- W3021006792 hasRelatedWork W88171249 @default.
- W3021006792 isParatext "false" @default.
- W3021006792 isRetracted "false" @default.
- W3021006792 magId "3021006792" @default.
- W3021006792 workType "article" @default.