• 论文 •

### 非线性均值方差模型的贝叶斯数据删除统计诊断

1. 1. 贵阳学院数学与信息科学学院,\贵阳 550005; 2. 浙江农林大学统计系, 杭州 311300; 3. 贵州财经大学数学与统计学院, 贵阳 550025
• 出版日期:2020-01-25 发布日期:2020-04-29

ZHAO Yuanying,XU Dengke,DUAN Xingde. Bayesian Case Deletion Statistical Diagnostics for Nonlinear Mean and Variance Models[J]. Journal of Systems Science and Mathematical Sciences, 2020, 40(1): 171-179.

### Bayesian Case Deletion Statistical Diagnostics for Nonlinear Mean and Variance Models

ZHAO Yuanying1 ,XU Dengke2 ,DUAN Xingde3

1. 1. College of Mathematics and Information Science, Guiyang University, Guiyang 550005; 2. Department of Statistics, Zhejiang Agriculture and Forestry University, Hangzhou 311300; 3. School of Mathematics and Statistics, Guizhou University of Finance and Economy, Guiyang 550025
• Online:2020-01-25 Published:2020-04-29

Bayesian case deletion statistical diagnostics based on K-L divergence for nonlinear mean and variance models are studied in this paper, in which Gibbs sampler and Metropolis-Hastings algorithm are employed to calculate Bayesian case deletion statistic. Simulation studies and a sockeye salmon data example are used to demonstrate the proposed methodology.

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 [1] 梁永玉, 田茂再. 基于分层贝叶斯时空Poisson模型的流行病建模研究[J]. 系统科学与数学, 2022, 42(2): 462-472. [2] 黄月兰，汤银才. 变点模型下Weibull分布恒加试验的Bayes分析[J]. 系统科学与数学, 2013, 33(9): 1105-1112. [3] 李海芬;汤银才. 对数稳定分布加速寿命试验的贝叶斯分析[J]. 系统科学与数学, 2011, 31(4): 448-457. [4] 陈平;陈钧. ARMAX时间序列模型异常点及异常点斑片的估计和检测[J]. 系统科学与数学, 2010, 30(10): 1323-1333. [5] 陈雪东;唐年胜. 带有不可忽略缺失数据的半参数再生散度模型的贝叶斯分析[J]. 系统科学与数学, 2010, 30(10): 1334-1350. [6] 汤银才;侯道燕. 三参数Weibull分布参数的Bayes估计[J]. 系统科学与数学, 2009, 29(1): 109-115.