Matric variate Pearson type II-Riesz distribution
The Pearson type II distribution is well known and is used in the general framework of real normed division algebras and Riesz distribution theory. Also, the so called Pearson type II-Riesz distribution, based on the Kotz–Riesz distribution, is presented in a unified way valid in the context of real...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-10-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364715000774 |
| _version_ | 1818561679143731200 |
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| author | José A. Díaz-García Francisco J. Caro-Lopera |
| author_facet | José A. Díaz-García Francisco J. Caro-Lopera |
| author_sort | José A. Díaz-García |
| collection | DOAJ |
| description | The Pearson type II distribution is well known and is used in the general framework of real normed division algebras and Riesz distribution theory. Also, the so called Pearson type II-Riesz distribution, based on the Kotz–Riesz distribution, is presented in a unified way valid in the context of real, complex, quaternion and octonion random matrices. Specifically, the central nonsingular matric variate generalised Pearson type II-Riesz distribution and beta-Riesz type I distributions are derived in the addressed multiple numerical field settings. |
| first_indexed | 2024-12-14T00:53:59Z |
| format | Article |
| id | doaj.art-bf263bda71654f6bbea46d9f592db334 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-14T00:53:59Z |
| publishDate | 2016-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-bf263bda71654f6bbea46d9f592db3342022-12-21T23:23:41ZengElsevierJournal of King Saud University: Science1018-36472016-10-0128435936710.1016/j.jksus.2015.08.006Matric variate Pearson type II-Riesz distributionJosé A. Díaz-García0Francisco J. Caro-Lopera1Universidad Autónoma Agraria Antonio Narro, Calzada Antonio Narro 1923, Col. Buenavista, 25315 Saltillo, Coahuila, MexicoUniversidad de Medellín, Department of Basic Sciences, Carrera 87 No. 30-65, of. 5-103, Medellín, ColombiaThe Pearson type II distribution is well known and is used in the general framework of real normed division algebras and Riesz distribution theory. Also, the so called Pearson type II-Riesz distribution, based on the Kotz–Riesz distribution, is presented in a unified way valid in the context of real, complex, quaternion and octonion random matrices. Specifically, the central nonsingular matric variate generalised Pearson type II-Riesz distribution and beta-Riesz type I distributions are derived in the addressed multiple numerical field settings.http://www.sciencedirect.com/science/article/pii/S1018364715000774Matric variateElliptical distributionRealComplexQuaternion and octonion random matricesBeta-Riesz type I distributions |
| spellingShingle | José A. Díaz-García Francisco J. Caro-Lopera Matric variate Pearson type II-Riesz distribution Journal of King Saud University: Science Matric variate Elliptical distribution Real Complex Quaternion and octonion random matrices Beta-Riesz type I distributions |
| title | Matric variate Pearson type II-Riesz distribution |
| title_full | Matric variate Pearson type II-Riesz distribution |
| title_fullStr | Matric variate Pearson type II-Riesz distribution |
| title_full_unstemmed | Matric variate Pearson type II-Riesz distribution |
| title_short | Matric variate Pearson type II-Riesz distribution |
| title_sort | matric variate pearson type ii riesz distribution |
| topic | Matric variate Elliptical distribution Real Complex Quaternion and octonion random matrices Beta-Riesz type I distributions |
| url | http://www.sciencedirect.com/science/article/pii/S1018364715000774 |
| work_keys_str_mv | AT joseadiazgarcia matricvariatepearsontypeiirieszdistribution AT franciscojcarolopera matricvariatepearsontypeiirieszdistribution |