论文标题
在复发过程中，事件计数的期望和事件计数的差异和发病率的差异的非参数估计 - 事件发生的强度随着每个高阶事件的发生而变化
Non-parametric estimation of Expectation and Variance of event count and of incidence rate in a recurrent process -- where intensity of event-occurrence changes with the occurrence of each higher order event
论文作者
论文摘要
在本文中，提出了一种新型的非参数方法，用于估计期望值和方差函数的最大值，对于复发事件，事件的强度随着每个高阶事件的发生变化而变化。在心脏血管事件的临床试验中以及许多涉及药物成瘾，武装抢劫等的社会实验中，经常观察到这种复发事件。模拟数据用于证明估算此类经常性事件的平均值和方差的新方法，并将结果与尼尔森·阿勒恩（Nelson Aalen Aalen）估计器的结果进行了比较。
In this paper, a novel non-parametric method for estimation of expectation and maximum value of the variance function is proposed for recurrent events where intensity of event occurrence changes with the occurrence of each higher order event. These kinds of recurrent events are often observed in clinical trials for cardio-vascular events and also in many social experiments involving drug addiction, armed robberies, etc. Simulated data is used to demonstrate the novel approach for estimating the mean and variance of such recurrent events and the results are compared with the result of Nelson Aalen estimator.
