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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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6 DONG Ming zhe (Department of Mathematic,Anshan Teachers College,Liaoning Anshan 114005,China);Study on the Method of Ni/MH Battery Capacity Predict[J];Journal of Anshan Teachers College;2000-03
7 SU Yan (Department of Applied Mathematics,NCEPU,Baoding 071003,China);Normal Distribution and Statistical Application[J];Journal of Baoding Teachers College;2003-04
8 LIU Xiao-peng, LIU Kun-hui (School of Sciences, Beijing Jiaotong University, Beijing 100044,China);Characters of Second Order Partial Derivative Related to F Distribution[J];Journal of Northern Jiaotong University;2004-06
9 Yang Shaokui; Meng Huirong; Fan Xun (China University of Mining and Technology, BeijingCampus Beijing 100083) Zhang Futian (China North Vehicle Research Institute Beijing 100072);Study on the Reliability Data Analysis Method for Mechanical Repairable Systems of Tanks and Armored Vehicles[J];;1998-03
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【Co-references】
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1 ZHANG Yong xiang,GU Li,GUO Jing fu,JING Shi wei, SHANG Hai feng,LIU Lin mao (Department of Physics,Northeast Normal University,Changchun 130024,China);Pseudo-random number generators basis of Visual C++ and application in ion transport[J];Journal of Northeast Normal University (Natural Science Edition);2002-02
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