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Estimation of Location and Scale Parameters in a Truncated Grouped Sech Square Distribution

 

作者: P.R. Fisk,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1961)
卷期: Volume 56, issue 295  

页码: 692-702

 

ISSN:0162-1459

 

年代: 1961

 

DOI:10.1080/01621459.1961.10480655

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The iterative calculations required to obtain the maximum likelihood estimates of α and β in the distribution functiondF(z) =ez/(1 +ez)2dz, wherez= α +βx, are presented for doubly truncated, upper and lower truncated, and untruncated grouped samples. The calculations needed to obtain the maximum likelihood estimator of Pareto's constant are also given for a lower truncated grouped sample with both equal and unequal grouping. Asymptotic variances and covariances are derived for all estimators considered.

 

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