Polyhedral Star-Shaped Distributions
A new method of probabilistic modelling of polyhedrally contoured sample clouds is presented and applied to statistical reasoning for a real dataset. Various representations of the new class of polyhedral star-shaped distributions are derived and basic properties of the moments as well as characteri...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2017/7176897 |
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| _version_ | 1850120212067647488 |
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| author | Wolf-Dieter Richter Kay Schicker |
| author_facet | Wolf-Dieter Richter Kay Schicker |
| author_sort | Wolf-Dieter Richter |
| collection | DOAJ |
| description | A new method of probabilistic modelling of polyhedrally contoured sample clouds is presented and applied to statistical reasoning for a real dataset. Various representations of the new class of polyhedral star-shaped distributions are derived and basic properties of the moments as well as characteristic and moment generating functions of these distributions are studied. Along with location-scale transformations, estimating and hypothesis testing are dealt with. |
| format | Article |
| id | doaj-art-68ce5e4cb7b34fffb0c1dee33eceb6f0 |
| institution | OA Journals |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-68ce5e4cb7b34fffb0c1dee33eceb6f02025-08-20T02:35:25ZengWileyJournal of Probability and Statistics1687-952X1687-95382017-01-01201710.1155/2017/71768977176897Polyhedral Star-Shaped DistributionsWolf-Dieter Richter0Kay Schicker1Institute of Mathematics, University of Rostock, Ulmenstr. 69, Haus 3, 18057 Rostock, GermanyInstitute of Mathematics, University of Rostock, Ulmenstr. 69, Haus 3, 18057 Rostock, GermanyA new method of probabilistic modelling of polyhedrally contoured sample clouds is presented and applied to statistical reasoning for a real dataset. Various representations of the new class of polyhedral star-shaped distributions are derived and basic properties of the moments as well as characteristic and moment generating functions of these distributions are studied. Along with location-scale transformations, estimating and hypothesis testing are dealt with.http://dx.doi.org/10.1155/2017/7176897 |
| spellingShingle | Wolf-Dieter Richter Kay Schicker Polyhedral Star-Shaped Distributions Journal of Probability and Statistics |
| title | Polyhedral Star-Shaped Distributions |
| title_full | Polyhedral Star-Shaped Distributions |
| title_fullStr | Polyhedral Star-Shaped Distributions |
| title_full_unstemmed | Polyhedral Star-Shaped Distributions |
| title_short | Polyhedral Star-Shaped Distributions |
| title_sort | polyhedral star shaped distributions |
| url | http://dx.doi.org/10.1155/2017/7176897 |
| work_keys_str_mv | AT wolfdieterrichter polyhedralstarshapeddistributions AT kayschicker polyhedralstarshapeddistributions |