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Estimation of the Standard Deviation of the Logistic Distribution by the Use of Selectkd Order Statistics

 

作者: JonN. Beyer,   AlbertH. Moore,   H.Leon Harter,  

 

期刊: Technometrics  (Taylor Available online 1976)
卷期: Volume 18, issue 3  

页码: 313-332

 

ISSN:0040-1706

 

年代: 1976

 

DOI:10.1080/00401706.1976.10489452

 

出版商: Taylor & Francis Group

 

关键词: Estimalion;Order Statistics;Logiatie Distribution;Censorcd Sampling

 

数据来源: Taylor

 

摘要:

A technique is applied to ohtain unbiased eslimators with minimttm variance among the class of linear estimators for the standard deviation of of logistic. population with known mean. Coefficients for multiplying ordered observations are developed for complete and completc samples forn= 2(1)26. Each sample of sizenis censored from above wherem≤n. Then the smallest subset oflorder slatistics from the set ofmavailable order statistics is found which yields at list a 98.5% efficiency relative to them-order-statistic estimator. The coefficients for thel-order-statistic estimator, the variance and efficiency relative to the estimatot, using allmorder statistics are persented.

 

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