Point and interval estimation of the true unbiased degree of linear polarization in the presence of low signal-to-noise ratios
Four estimators which attempt to correct for biasing in the degree of linear polarization are discussed for the specific case when the errors on an observation of the normalized Stokes parameters q and u are known and assumed equal to sigma. Expressions are derived for the different estimators and t...
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| Veröffentlicht in: | Astronomy and astrophysics (Berlin) 1985, Vol.142 (1), p.100-106 |
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| container_title | Astronomy and astrophysics (Berlin) |
| container_volume | 142 |
| creator | SIMMONS, J. F. L STEWART, B. G |
| description | Four estimators which attempt to correct for biasing in the degree of linear polarization are discussed for the specific case when the errors on an observation of the normalized Stokes parameters q and u are known and assumed equal to sigma. Expressions are derived for the different estimators and their respective distributions and bias which all differ significantly at low polarizations or low SNR levels are investigated. A method for establishing confidence intervals for the degree of polarization is presented in a form useful to the observer. Some applications of these results to different astrophysical situations are discussed. |
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F. L ; STEWART, B. G</creator><creatorcontrib>SIMMONS, J. F. L ; STEWART, B. G</creatorcontrib><description>Four estimators which attempt to correct for biasing in the degree of linear polarization are discussed for the specific case when the errors on an observation of the normalized Stokes parameters q and u are known and assumed equal to sigma. Expressions are derived for the different estimators and their respective distributions and bias which all differ significantly at low polarizations or low SNR levels are investigated. A method for establishing confidence intervals for the degree of polarization is presented in a form useful to the observer. 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G</creatorcontrib><title>Point and interval estimation of the true unbiased degree of linear polarization in the presence of low signal-to-noise ratios</title><title>Astronomy and astrophysics (Berlin)</title><description>Four estimators which attempt to correct for biasing in the degree of linear polarization are discussed for the specific case when the errors on an observation of the normalized Stokes parameters q and u are known and assumed equal to sigma. Expressions are derived for the different estimators and their respective distributions and bias which all differ significantly at low polarizations or low SNR levels are investigated. A method for establishing confidence intervals for the degree of polarization is presented in a form useful to the observer. Some applications of these results to different astrophysical situations are discussed.</description><subject>Astronomy</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</subject><subject>Observation and data reduction techniques. 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G</creator><general>EDP Sciences</general><scope>IQODW</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>1985</creationdate><title>Point and interval estimation of the true unbiased degree of linear polarization in the presence of low signal-to-noise ratios</title><author>SIMMONS, J. F. L ; STEWART, B. G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p145t-afeebcf1aaa564a07c1422757784c86ad9f9fd1459238ef8bdc252239251ed053</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1985</creationdate><topic>Astronomy</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</topic><topic>Observation and data reduction techniques. Computer modeling and simulation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>SIMMONS, J. F. L</creatorcontrib><creatorcontrib>STEWART, B. G</creatorcontrib><collection>Pascal-Francis</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Astronomy and astrophysics (Berlin)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>SIMMONS, J. F. L</au><au>STEWART, B. G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Point and interval estimation of the true unbiased degree of linear polarization in the presence of low signal-to-noise ratios</atitle><jtitle>Astronomy and astrophysics (Berlin)</jtitle><date>1985</date><risdate>1985</risdate><volume>142</volume><issue>1</issue><spage>100</spage><epage>106</epage><pages>100-106</pages><issn>0004-6361</issn><eissn>1432-0746</eissn><coden>AAEJAF</coden><abstract>Four estimators which attempt to correct for biasing in the degree of linear polarization are discussed for the specific case when the errors on an observation of the normalized Stokes parameters q and u are known and assumed equal to sigma. Expressions are derived for the different estimators and their respective distributions and bias which all differ significantly at low polarizations or low SNR levels are investigated. A method for establishing confidence intervals for the degree of polarization is presented in a form useful to the observer. Some applications of these results to different astrophysical situations are discussed.</abstract><cop>Les Ulis</cop><pub>EDP Sciences</pub><tpages>7</tpages></addata></record> |
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| identifier | ISSN: 0004-6361 |
| ispartof | Astronomy and astrophysics (Berlin), 1985, Vol.142 (1), p.100-106 |
| issn | 0004-6361 1432-0746 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_24718349 |
| source | EDP Sciences; EZB-FREE-00999 freely available EZB journals |
| subjects | Astronomy Earth, ocean, space Exact sciences and technology Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations Observation and data reduction techniques. Computer modeling and simulation |
| title | Point and interval estimation of the true unbiased degree of linear polarization in the presence of low signal-to-noise ratios |
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