一种基于AEPD的贝叶斯参数估计方法
A Technique of Bayesian Parameter Estimation Based on AEPD
DOI: 10.12677/SA.2020.94058, PDF,   
作者: 李东升:贵州民族大学,数据科学与信息工程学院,贵州 贵阳;吴有富*:贵州交通职业技术学院,贵州 贵阳
关键词: 非对称指数幂分布贝叶斯参数估计Metropolis-Hastings算法Asymmetric Exponential Power Distribution Bayesian Parameter Estimation Metropolis-Hastings Algorithm
摘要: 本文基于非对称指数幂分布(AEPD),采用MCMC中的M-H算法进行贝叶斯参数估计,针对后验密度的复杂性,采取随机游走链的建议分布为中心对称分布。通过数值模拟,在M个大样本下进行N次迭代,模拟结果显示,该算法对具有非对称指数幂分布的贝叶斯参数估计具有实用性。
Abstract: In this paper, based on the asymmetric exponential power distribution (AEPD), the M-H algorithm in MCMC is used to estimate the Bayesian parameters. For the complexity of the posterior density, the recommended distribution of the random walk chain is the center symmetric distribution. Through numerical simulation, N iterations are performed under M large samples. The simulation results show that the algorithm is practical for Bayesian parameter estimation with asymmetric exponential power distribution.
文章引用:李东升, 吴有富. 一种基于AEPD的贝叶斯参数估计方法[J]. 统计学与应用, 2020, 9(4): 537-545. https://doi.org/10.12677/SA.2020.94058

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