关于随机过程模型的研究和应用

Research and Application of Stochastic Process Model

利用最小二乘估计思想改进了原来的最小对比度估计方法,并利用改进后的方法估计了Log Gaussian Mixture Cox过程模型(LGMCP模型)的参数。利用R统计软件中spatstat包的细胞数据集验证了改进后的估计方法的有效性,结果表明改进后的估计方法能有效估计LGMCP模型的参数。

The original minimum contrast estimation method was improved according to the least squares estimation idea. The improved estimation method was applied to estimate the parameters of Log Gaussian Mixture Cox process model (abbreviated as LGMCP model). The cell data set of spatstat package in R statistical software was used to verify the effectiveness of the improved estimation method. The results showed that the improved estimation method could effectively estimate the parameters of LGMCP model.