Fisherian Inference in Likelihood and Prequential Frames of Reference
In celebration of the centenary of the birth of Sir Ronald Fisher, this paper explores Fisher's conception of statistical inference, with special attention to the importance he placed on choosing an appropriate frame of reference to define the inferential model. In particular, we investigate in...
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| Veröffentlicht in: | Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1991, Vol.53 (1), p.79-109 |
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| container_end_page | 109 |
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| container_title | Journal of the Royal Statistical Society. Series B, Methodological |
| container_volume | 53 |
| creator | Dawid, A. P. |
| description | In celebration of the centenary of the birth of Sir Ronald Fisher, this paper explores Fisher's conception of statistical inference, with special attention to the importance he placed on choosing an appropriate frame of reference to define the inferential model. In particular, we investigate inferential models which respect the likelihood principle or the prequential principle, and argue that these will typically have an asymptotic sampling theory justification. |
| doi_str_mv | 10.1111/j.2517-6161.1991.tb01810.x |
| format | Article |
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P.</creator><creatorcontrib>Dawid, A. P.</creatorcontrib><description>In celebration of the centenary of the birth of Sir Ronald Fisher, this paper explores Fisher's conception of statistical inference, with special attention to the importance he placed on choosing an appropriate frame of reference to define the inferential model. In particular, we investigate inferential models which respect the likelihood principle or the prequential principle, and argue that these will typically have an asymptotic sampling theory justification.</description><identifier>ISSN: 0035-9246</identifier><identifier>ISSN: 1369-7412</identifier><identifier>EISSN: 2517-6161</identifier><identifier>EISSN: 1467-9868</identifier><identifier>DOI: 10.1111/j.2517-6161.1991.tb01810.x</identifier><identifier>CODEN: JSTBAJ</identifier><language>eng</language><publisher>London: Blackwell Publishers</publisher><subject>Analytical forecasting ; asymptotic estimation theory ; bayesian inference ; Exact sciences and technology ; Inference ; inferential model ; Mathematics ; Maximum likelihood estimation ; Maximum likelihood estimators ; Modeling ; Observational frames of reference ; prediction error ; prequential principle ; Probabilities ; Probability and statistics ; production model ; production principle ; R. A. fisher ; Sampling distributions ; Sciences and techniques of general use ; Statistical discrepancies ; Statistics</subject><ispartof>Journal of the Royal Statistical Society. 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P.</creatorcontrib><title>Fisherian Inference in Likelihood and Prequential Frames of Reference</title><title>Journal of the Royal Statistical Society. Series B, Methodological</title><description>In celebration of the centenary of the birth of Sir Ronald Fisher, this paper explores Fisher's conception of statistical inference, with special attention to the importance he placed on choosing an appropriate frame of reference to define the inferential model. In particular, we investigate inferential models which respect the likelihood principle or the prequential principle, and argue that these will typically have an asymptotic sampling theory justification.</description><subject>Analytical forecasting</subject><subject>asymptotic estimation theory</subject><subject>bayesian inference</subject><subject>Exact sciences and technology</subject><subject>Inference</subject><subject>inferential model</subject><subject>Mathematics</subject><subject>Maximum likelihood estimation</subject><subject>Maximum likelihood estimators</subject><subject>Modeling</subject><subject>Observational frames of reference</subject><subject>prediction error</subject><subject>prequential principle</subject><subject>Probabilities</subject><subject>Probability and statistics</subject><subject>production model</subject><subject>production principle</subject><subject>R. A. fisher</subject><subject>Sampling distributions</subject><subject>Sciences and techniques of general use</subject><subject>Statistical discrepancies</subject><subject>Statistics</subject><issn>0035-9246</issn><issn>1369-7412</issn><issn>2517-6161</issn><issn>1467-9868</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNqVkF1PwjAUhhujiYj-Ay8W9Xbz9HPMOySgJCQa0Oum67rQOTZsR4R_7-YI9_amTc57nrd5ELrDEOH2PBYR4TgOBRY4wkmCoyYFPGqn-zM0OI3O0QCA8jAhTFyiK-8LAMCU0QGazqxfG2dVFcyr3DhTaRPYKljYL1PadV1ngaqy4N2Z752pGqvKYObUxvigzoOlOW5co4tcld7cHO8h-pxNPyav4eLtZT4ZL0JNBUCIeUIFZkbnlBOa4ZSnQhAtYgYMGx1rHUNKk1GmIAcOaZJpJjSjGc-I1mZEh-i-525d3f7HN7Kod65qKyWmQBJGqOhST31Ku9p7Z3K5dXaj3EFikJ02WcjOjezcyE6bPGqT-3b54VihvFZl7lSlrT8ROCGMM2hj4z72Y0tz-EeBXK5Wz3_vlnHbMwrf1O7EIJTxmCT0F-Rnik0</recordid><startdate>1991</startdate><enddate>1991</enddate><creator>Dawid, A. 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P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3600-1593614ecf3523d1b5b662c674041ec7cc70b398da0f050b9dc46c43d5d2cce83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>Analytical forecasting</topic><topic>asymptotic estimation theory</topic><topic>bayesian inference</topic><topic>Exact sciences and technology</topic><topic>Inference</topic><topic>inferential model</topic><topic>Mathematics</topic><topic>Maximum likelihood estimation</topic><topic>Maximum likelihood estimators</topic><topic>Modeling</topic><topic>Observational frames of reference</topic><topic>prediction error</topic><topic>prequential principle</topic><topic>Probabilities</topic><topic>Probability and statistics</topic><topic>production model</topic><topic>production principle</topic><topic>R. A. fisher</topic><topic>Sampling distributions</topic><topic>Sciences and techniques of general use</topic><topic>Statistical discrepancies</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dawid, A. 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Series B, Methodological</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dawid, A. P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fisherian Inference in Likelihood and Prequential Frames of Reference</atitle><jtitle>Journal of the Royal Statistical Society. Series B, Methodological</jtitle><date>1991</date><risdate>1991</risdate><volume>53</volume><issue>1</issue><spage>79</spage><epage>109</epage><pages>79-109</pages><issn>0035-9246</issn><issn>1369-7412</issn><eissn>2517-6161</eissn><eissn>1467-9868</eissn><coden>JSTBAJ</coden><abstract>In celebration of the centenary of the birth of Sir Ronald Fisher, this paper explores Fisher's conception of statistical inference, with special attention to the importance he placed on choosing an appropriate frame of reference to define the inferential model. In particular, we investigate inferential models which respect the likelihood principle or the prequential principle, and argue that these will typically have an asymptotic sampling theory justification.</abstract><cop>London</cop><pub>Blackwell Publishers</pub><doi>10.1111/j.2517-6161.1991.tb01810.x</doi><tpages>31</tpages></addata></record> |
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| ispartof | Journal of the Royal Statistical Society. Series B, Methodological, 1991, Vol.53 (1), p.79-109 |
| issn | 0035-9246 1369-7412 2517-6161 1467-9868 |
| language | eng |
| recordid | cdi_proquest_journals_1302942368 |
| source | Periodicals Index Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | Analytical forecasting asymptotic estimation theory bayesian inference Exact sciences and technology Inference inferential model Mathematics Maximum likelihood estimation Maximum likelihood estimators Modeling Observational frames of reference prediction error prequential principle Probabilities Probability and statistics production model production principle R. A. fisher Sampling distributions Sciences and techniques of general use Statistical discrepancies Statistics |
| title | Fisherian Inference in Likelihood and Prequential Frames of Reference |
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