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The Statistical Analysis of Rayleigh Distribution under the Full Sample

JING Wei-lan1,WANG Rong-hua1,XU Xiao-ling2(College of Mathematics and Science,Shanghai Normal University,Shanghai 200234,P.R.China;Business Information Management College,Shanghai Institute of Foreign Trade2,Shanghai 201620,P.R.China)  
For the Rayleigh distribution,the moment estimation,the maximum likelihood estimation and the interval estimation of the parameter are given based on the full sample.At the same time,the precisions of both point estimations and the interval estimation are investigated by a large number of Monte-Carlo simulations,respectively.From the result,the precisions of the maximum likelihood estimate for the parameter is better than that of the moment estimation can be seen.
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