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KO50001004-00340005-0083  
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Title
Title Stein-type estimators for parameters restricted by linear inequalities  
Kana  
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Title  
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Romanization  
Creator
Name Chang, Yuan-Tsung  
Kana  
Romanization  
Affiliation Dept. of Administration Engineering, Keio University  
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Place
横浜  
Publisher
Name 慶應義塾大学理工学部  
Kana ケイオウ ギジュク ダイガク リコウガクブ  
Romanization Keio gijuku daigaku rikogakubu  
Date
Issued (from:yyyy) 1981  
Issued (to:yyyy)  
Created (yyyy-mm-dd)  
Updated (yyyy-mm-dd)  
Captured (yyyy-mm-dd)  
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Source Title
Name Keio Science and Technology Reports  
Name (Translated)  
Volume 34  
Issue 5  
Year 1981  
Month 12  
Start page 83  
End page 95  
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Abstract
In simultaneous estimation of p normal means, James and Stein (1961) introduced an estimator, called Stein-type estimator, and showed that it has uniformly smaller risk than the maximum likelihood estimator (MLE) if p ≧3 under the squared error loss. Since then many authors have discussed the Stein-type estimator under various situations. In this paper we discuss the cases where constraints of linear inequalities are given on p normal means and give Stein-type estimator for means. We also give Stein-type estimator for means of Hudson class of probability distributions when constraints of simpler linear inequalities are given on means.
 
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Language
英語  
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Departmental Bulletin Paper  
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Feb 10, 2015 11:23:54  
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Feb 10, 2015 11:23:54  
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/ Public / Faculty of Science and Technology / Keio Science and Technology Reports / 34(1981) / 34(5) 198112
 
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