Some Angular-Linear Distributions and Related Regression Models
Parametric models are proposed for the joint distribution of bivariate random variables when one variable is directional and one is scalar. These distributions are developed on the basis of the maximum entropy principle and by the specification of the marginal distributions. The properties of these...
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| Veröffentlicht in: | Journal of the American Statistical Association 1978-09, Vol.73 (363), p.602-606 |
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| container_title | Journal of the American Statistical Association |
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| creator | Johnson, Richard A. Wehrly, Thomas E. |
| description | Parametric models are proposed for the joint distribution of bivariate random variables when one variable is directional and one is scalar. These distributions are developed on the basis of the maximum entropy principle and by the specification of the marginal distributions. The properties of these distributions and the statistical analysis of regression models based on these distributions are explored. One model is extended to several variables in a form that justifies the use of least squares for estimation of parameters, conditional on the observed angles. |
| doi_str_mv | 10.1080/01621459.1978.10480062 |
| format | Article |
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These distributions are developed on the basis of the maximum entropy principle and by the specification of the marginal distributions. The properties of these distributions and the statistical analysis of regression models based on these distributions are explored. One model is extended to several variables in a form that justifies the use of least squares for estimation of parameters, conditional on the observed angles.</description><identifier>ISSN: 0162-1459</identifier><identifier>EISSN: 1537-274X</identifier><identifier>DOI: 10.1080/01621459.1978.10480062</identifier><language>eng</language><publisher>Taylor & Francis Group</publisher><subject>Angular-linear distribution ; Directional data ; Entropy ; Gaussian distributions ; Least squares ; Linear regression ; Maximum likelihood estimation ; Modified Bessel functions ; Parametric models ; Regression ; Regression analysis ; Sine function ; Theory and Methods ; Trigonometric regression ; Wind direction</subject><ispartof>Journal of the American Statistical Association, 1978-09, Vol.73 (363), p.602-606</ispartof><rights>Copyright Taylor & Francis Group, LLC 1978</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c286t-fae621b135b7f477b3337a093226a92b2877c3acf83b10bc1d6c3e7785632e143</citedby><cites>FETCH-LOGICAL-c286t-fae621b135b7f477b3337a093226a92b2877c3acf83b10bc1d6c3e7785632e143</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/2286608$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/2286608$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,778,782,801,830,27907,27908,58000,58004,58233,58237</link.rule.ids></links><search><creatorcontrib>Johnson, Richard A.</creatorcontrib><creatorcontrib>Wehrly, Thomas E.</creatorcontrib><title>Some Angular-Linear Distributions and Related Regression Models</title><title>Journal of the American Statistical Association</title><description>Parametric models are proposed for the joint distribution of bivariate random variables when one variable is directional and one is scalar. These distributions are developed on the basis of the maximum entropy principle and by the specification of the marginal distributions. The properties of these distributions and the statistical analysis of regression models based on these distributions are explored. One model is extended to several variables in a form that justifies the use of least squares for estimation of parameters, conditional on the observed angles.</description><subject>Angular-linear distribution</subject><subject>Directional data</subject><subject>Entropy</subject><subject>Gaussian distributions</subject><subject>Least squares</subject><subject>Linear regression</subject><subject>Maximum likelihood estimation</subject><subject>Modified Bessel functions</subject><subject>Parametric models</subject><subject>Regression</subject><subject>Regression analysis</subject><subject>Sine function</subject><subject>Theory and Methods</subject><subject>Trigonometric regression</subject><subject>Wind direction</subject><issn>0162-1459</issn><issn>1537-274X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1978</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLAzEUhYMoWKt_QWbhdmqSO5NkVlLqEyqCD3AXkkxSUqYTSaZI_70ZasGdd3Pg8p17DwehS4JnBAt8jQmjpKqbGWm4yKtKYMzoEZqQGnhJefV5jCYjVI7UKTpLaY3zcCEm6OYtbGwx71fbTsVy6XurYnHr0xC93g4-9KlQfVu82k4NdtRVtCnlffEcWtulc3TiVJfsxa9O0cf93fvisVy-PDwt5svSUMGG0imbQ2oCteau4lwDAFe4AUqZaqimgnMDyjgBmmBtSMsMWM5FzYBaUsEUsf1dE0NK0Tr5Ff1GxZ0kWI41yEMNcqxBHmrIxqu9cZ2GEP-6KGAuaY7HsMjYfI_53oW4Ud8hdq0c1K4L0UXVG58k_PPqB3wabxI</recordid><startdate>19780901</startdate><enddate>19780901</enddate><creator>Johnson, Richard A.</creator><creator>Wehrly, Thomas E.</creator><general>Taylor & Francis Group</general><general>American Statistical Association</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19780901</creationdate><title>Some Angular-Linear Distributions and Related Regression Models</title><author>Johnson, Richard A. ; Wehrly, Thomas E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c286t-fae621b135b7f477b3337a093226a92b2877c3acf83b10bc1d6c3e7785632e143</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1978</creationdate><topic>Angular-linear distribution</topic><topic>Directional data</topic><topic>Entropy</topic><topic>Gaussian distributions</topic><topic>Least squares</topic><topic>Linear regression</topic><topic>Maximum likelihood estimation</topic><topic>Modified Bessel functions</topic><topic>Parametric models</topic><topic>Regression</topic><topic>Regression analysis</topic><topic>Sine function</topic><topic>Theory and Methods</topic><topic>Trigonometric regression</topic><topic>Wind direction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Johnson, Richard A.</creatorcontrib><creatorcontrib>Wehrly, Thomas E.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of the American Statistical Association</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Johnson, Richard A.</au><au>Wehrly, Thomas E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Some Angular-Linear Distributions and Related Regression Models</atitle><jtitle>Journal of the American Statistical Association</jtitle><date>1978-09-01</date><risdate>1978</risdate><volume>73</volume><issue>363</issue><spage>602</spage><epage>606</epage><pages>602-606</pages><issn>0162-1459</issn><eissn>1537-274X</eissn><abstract>Parametric models are proposed for the joint distribution of bivariate random variables when one variable is directional and one is scalar. These distributions are developed on the basis of the maximum entropy principle and by the specification of the marginal distributions. The properties of these distributions and the statistical analysis of regression models based on these distributions are explored. One model is extended to several variables in a form that justifies the use of least squares for estimation of parameters, conditional on the observed angles.</abstract><pub>Taylor & Francis Group</pub><doi>10.1080/01621459.1978.10480062</doi><tpages>5</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0162-1459 |
| ispartof | Journal of the American Statistical Association, 1978-09, Vol.73 (363), p.602-606 |
| issn | 0162-1459 1537-274X |
| language | eng |
| recordid | cdi_crossref_primary_10_1080_01621459_1978_10480062 |
| source | JSTOR Mathematics & Statistics; Jstor Complete Legacy |
| subjects | Angular-linear distribution Directional data Entropy Gaussian distributions Least squares Linear regression Maximum likelihood estimation Modified Bessel functions Parametric models Regression Regression analysis Sine function Theory and Methods Trigonometric regression Wind direction |
| title | Some Angular-Linear Distributions and Related Regression Models |
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