| 含不可忽略缺失数据非线性再生散度模型参数的Bayes估计 |
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| 引用本文： | 和燕,彭燕梅,唐年胜. 含不可忽略缺失数据非线性再生散度模型参数的Bayes估计[J]. 生物数学学报, 2012, 0(2): 357-364 |
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| 作者姓名： | 和燕 彭燕梅 唐年胜 |
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| 作者单位： | [1]楚雄师范学院计算机科学与技术系,云南楚雄675000 [2]楚雄师范学院地理科学与旅游管理系,云南楚雄675000 [3]云南大学应用统计研究中心,云南昆明650091 |
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| 基金项目： | 国家自然科学基金资助项目（10961026）;云南省教育厅科研基金资助项目（06Y046F）;院级科研骨干专项资助项目（05YJGGl2） |
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| 摘 要： | 给出协变量带有不可忽略缺失数据的非线性再生散度模型的Bayes方法,缺失数据机制由Logistic回归模型来确定.Gibbs抽样技术和Metropolis-Hastings算法(简称MH算法)用来得到模型参数、缺失数据机制中回归系数的联合Bayes估计,并用实例加以说明.
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| 关 键 词： | 不可忽略缺失数据机制 非线性再生散度模型 Dirichlet先验分布 Bayes方法 MCMC 协变量 |
Bayes Estimation of Nonlinear Reproductive Dispersion Models with Nonignorable Missing Mechanism |
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| HE Yan,PENG Yan-Mei TANG Nian-Sheng. Bayes Estimation of Nonlinear Reproductive Dispersion Models with Nonignorable Missing Mechanism[J]. Journal of Biomathematics, 2012, 0(2): 357-364 |
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| Authors: | HE Yan PENG Yan-Mei TANG Nian-Sheng |
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| Affiliation: | 1 Department of Computer Science and Technology, Chuxiong Teachers College, Chuxiong Yunnan 675000 China) (2 Department of Geography and Touriem Management, Chuxiong Teachers College Chuxiong Yunnan 675000 China) (3 Research Center of Applied Statistics, Yunnan University, tgunming Yunnan 650091 China) |
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| Abstract: | Bayesian method is developed to analyze nonlinear reproductive dispersion mod-els in which the covariate variables may be missing with nonignorable missingness mechanism. The missingness is specified by a logistic regression model.the Gibbs sampler and the MH algorithm is used to obtain the joint Bayesian estimates of parameters.A real example are used to illustrate the methodology. |
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| Keywords: | Nonignorable missing mechanism Nonlinear reproductive dispersion mod-els Dirichlet prior distribution Markov chain Monte-Carlo method covariate variables |
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