| 贝叶斯参数估计的最大熵方法的逆问题 |
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| 引用本文： | 王海虹. 贝叶斯参数估计的最大熵方法的逆问题[J]. 东北石油大学学报, 2012, 0(6): 101-103,12 |
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| 作者姓名： | 王海虹 |
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| 作者单位： | 东北石油大学数学科学与技术学院 |
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| 摘 要： | 讨论贝叶斯参数估计理论中利用最大熵原理确定参数的先验概率的逆问题,并且以泊松分布和指数分布为例给出证明.通过求解相应的微分方程和变分方程,得到所需约束条件.
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| 关 键 词： | 贝叶斯统计 最大熵原理 逆问题 泊松分布 指数分布 |
Inverse problem in Bayesian inference by maximum entropy principle |
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| WANG Hai-hong. Inverse problem in Bayesian inference by maximum entropy principle[J]. Journal of Northeast Petroleum University, 2012, 0(6): 101-103,12 |
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| Authors: | WANG Hai-hong |
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| Affiliation: | WANG Hai-hong(School of Mathematics,Northeast Petroleum University,Daqing,Heilongjiang 163318,China) |
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| Abstract: | The inverse problem in Bayesian inference by maximum entropy principle was discussed.The detailed proofs were given by two examples on Poisson distribution and exponential distribution.By solving differential equation and variant equation,the corresponding constraints were obtained. |
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| Keywords: | Bayesian estimation maximum entropy principle inverse problem Poisson distribution exponential distribution |
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