The generalized Pearson family of distributions and explicit representation of the associated density functions
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Provost, S.B. | - |
dc.contributor.author | Zareamoghaddam, H. | - |
dc.contributor.author | Ahmed, S.E. | - |
dc.contributor.author | Ha, Hyung-Tae | - |
dc.date.accessioned | 2022-07-30T07:40:06Z | - |
dc.date.available | 2022-07-30T07:40:06Z | - |
dc.date.created | 2020-11-16 | - |
dc.date.issued | 2022-08 | - |
dc.identifier.issn | 0361-0926 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/85170 | - |
dc.description.abstract | A moment-based density approximation technique that is based on a generalization of Pearson’s system of frequency curves is introduced in this paper. More specifically, the derivative of the logarithm of a continuous density function is expressed as a ratio of polynomials whose coefficients are determined by solving a linear system, and a simple representation of the resulting density function is provided. Additionally, a result relating a sample to its moments is stated and derived. It is then explained that, when used in conjunction with sample moments, the methodology being herein advocated can be utilized for the purpose of modeling data sets, irrespective of their size. Several illustrative examples are presented. © 2020 Taylor & Francis Group, LLC. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | TAYLOR & FRANCIS INC | - |
dc.relation.isPartOf | Communications in Statistics - Theory and Methods | - |
dc.title | The generalized Pearson family of distributions and explicit representation of the associated density functions | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.description.journalClass | 1 | - |
dc.identifier.wosid | 000587529800001 | - |
dc.identifier.doi | 10.1080/03610926.2020.1843680 | - |
dc.identifier.bibliographicCitation | Communications in Statistics - Theory and Methods, v.51, no.16, pp.5590 - 5606 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.scopusid | 2-s2.0-85095774931 | - |
dc.citation.endPage | 5606 | - |
dc.citation.startPage | 5590 | - |
dc.citation.title | Communications in Statistics - Theory and Methods | - |
dc.citation.volume | 51 | - |
dc.citation.number | 16 | - |
dc.contributor.affiliatedAuthor | Ha, Hyung-Tae | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Data modeling | - |
dc.subject.keywordAuthor | density approximation | - |
dc.subject.keywordAuthor | log-density | - |
dc.subject.keywordAuthor | moments | - |
dc.subject.keywordAuthor | Pearson curves | - |
dc.subject.keywordPlus | Communication | - |
dc.subject.keywordPlus | Mathematical techniques | - |
dc.subject.keywordPlus | Statistical methods | - |
dc.subject.keywordPlus | Statistics | - |
dc.subject.keywordPlus | Associated densities | - |
dc.subject.keywordPlus | Continuous density functions | - |
dc.subject.keywordPlus | Density approximations | - |
dc.subject.keywordPlus | Explicit representation | - |
dc.subject.keywordPlus | Frequency curve | - |
dc.subject.keywordPlus | Model data | - |
dc.subject.keywordPlus | S-systems | - |
dc.subject.keywordPlus | Linear systems | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Statistics & Probability | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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