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《Journal of Beijing Polytechnic University》 2004-01
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Application of Stereographic Projection Transformation in Statistics

ZHAO Ying ( College of Applied Sciences, Beijing University of Technology, Beijing 100022, China )  
The purpose of this study is to use stereographic projection transformation to derive Box-Muller bivariate transformation sampling formula. Stereographic projection trans-formation is to establish one-to-one map between the point in the Rd space and the point on the surface of a unit sphere. Through variable substitution, Box-Muller formula can be derived by means of stereographic projection transformation for d=2. By an extension of this logic, for d2, the spherical symmetric distribution very important in multivariate statistical analysis can also be derived.
【Fund】: 北京自然科学基金资助项目(D080401-01).
【CateGory Index】: O211
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