Dirichlet Composition Distribution for Compositional Data with Zero Components And Its Application to FISH Detection of Chromosome
报 告 人:: 吴琴
报告地点:: 数学与统计学院415报告厅
报告时间:: 2018年11月08日星期四15:30-16:30

The statistical analysis often failed to work when the zero elements are reported in the compositional data. To overcome the problem, we first construct a framework for analyzing the compositional data with zero entries by introducing a stochastic representation. Furthermore, we propose a new distribution, called the Dirichlet Composition Distribution, by assuming the base vector follow independent Gamma distributions. We discuss the Dirichlet Composition Distribution in detail, including its moments, the calculation of MLEs via EM algorithm and the regression model, etc. The simulation results have shown the performance of our proposed model is satisfactory. Finally, our method is employed to analyze the data of fluorescence in situ hybridization (FISH) for chromosome detection. The proportions of zero entries, the parameters of base vectors and regression coefficients are presented to analyze the data.

发 布 人:吴双 发布时间: 2018-11-07
2004年考入东北师范大学数学与应用数学专业,2008年在该校概率论与数理统计方向读研,2010-2013年就读香港浸会大学数学系。2014年5月至今在华南师范大学概率统计系工作。已在国际知名统计学和数学期刊Statistical methods in medical research, statistics in medicine, statistical papers等发表和接收论文6篇;曾主持一项国家自然科学基金青年基金项目,现主持广东省质量工程基金一项。