| 李俊琳，李霓*.基于一般速率模型的面板计数数据统计分析[J].海南师范大学学报自科版,2018,31(3):313-321 |
| 基于一般速率模型的面板计数数据统计分析 |
| Statistical Analysis of Panel Count Data Based on General Rate Model |
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| DOI：10.12051/j.issn.1674-4942.2018.03.011 |
| 中文关键词: 速率模型 协变量 极大似然估计 面板计数数据 |
| 英文关键词: rate model covariate maximum likelihood estimation panel count data |
| 基金项目:海南省自然科学基金面上项目（117116，118MS042）；国家自然科学基金项目（11861030，11471135） |
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| 摘要点击次数: 789 |
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| 中文摘要: |
| 在复发事件数据存在删失的情况下，对基准速率函数进行一般化调整之后建立了一般
速率模型。同时，给出该模型中未知参数的极大似然估计，并且证明了这些参数估计的大样本性
质，即相合性和渐近正态性。利用大量数值模拟验证了文中所提出的模型及参数估计方法的合理
性。最后，通过对一组膀胱癌治疗的临床试验数据进行实例分析，刻画协变量对膀胱癌复发率的
影响。 |
| 英文摘要: |
| A general rate model was built by carrying out the general adjustment of the baseline rate function, in the case
of deletion and loss of recurrence event data. Meanwhile, the maximum likelihood estimation of unknown parameter in the
model was provided and the large sample characteristics (consistency and asymptotic normality) of these parameter estima⁃
tions were verified. The reasonability of the model and the parameter estimation method were verified by means of a large
number of numerical simulations. At last, a set of bladder cancer data was provided and analyzed to depict the effects of co⁃
variates on bladder cancer recurrence rate. |
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