论文标题
带有时变参数的优先附件方案的新模型
A new model for preferential attachment scheme with time-varying parameters
论文作者
论文摘要
我们通过允许连接概率依赖时间t提出优先附件方案的扩展。我们通过最大程度地估算模型中涉及的参数，从而最大程度地减少了一号顶点的预期平方差异及其条件期望。当参数是通过确定一度学位顶点数量的中心极限定理（CLT）时，还研究了估计量的渐近性。我们提出了一个新的统计量来测试参数是否具有更改点。我们还提供一些方法来估计变更点的数量并检测变更点的位置。进行模拟以说明上述结果的性能。
We propose an extension of the preferential attachment scheme by allowing the connecting probability to depend on time t. We estimate the parameters involved in the model by minimizing the expected squared difference between the number of vertices of degree one and its conditional expectation. The asymptotic properties of the estimators are also investigated when the parameters are time-varying by establishing the central limit theorem (CLT) of the number of vertices of degree one. We propose a new statistic to test whether the parameters have change points. We also offer some methods to estimate the number of change points and detect the locations of change points. Simulations are conducted to illustrate the performances of the above results.
