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| 引用本文： | ��ӦӦ,������,�����.ʲôʱ�����һ������ֵ��ɢ�ֲ��IJ�������С���ͳ����?[J].应用概率统计,2006,35(6):611-620. |
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| 作者姓名： | ��ӦӦ ������ ����� |
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| 作者单位： | ?????????????????????????, ????, 401331 |
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| 摘 要： |
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| 关 键 词： | ?????????????????? ??С???????? ?????? ?????? ???? |
When the Sum is a Minimal Sufficient Statistics for the Parameter of a Discrete Distribution with Finite Values? |
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| ZHANG Yingying,RONG Tengzhong,LI Manman.When the Sum is a Minimal Sufficient Statistics for the Parameter of a Discrete Distribution with Finite Values?[J].Chinese Journal of Applied Probability and Statisties,2006,35(6):611-620. |
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| Authors: | ZHANG Yingying RONG Tengzhong LI Manman |
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| Institution: | Department of Statistics and Actuarial Science,College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China |
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| Abstract: | ??We prove three theorems for iid discrete randomvariables taking two values, three values, and k (3\leq k<\infty) valuesby using the technique of indicator function. Under some specifications of the probabilities, we prove that the sum is a minimal sufficient statistics for the unknown parameter of interest of the discrete random variable taking two values, three values, and k (3\leq k<\infty) values. For the dice example, a figure shows that the specifications of the six probabilities are between 0 and 1 and sum to 1, and a fair dice is possible. |
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