A goodness-of-fit test for Poisson count processes

作者：Fokianos Konstantinos^*; Neumann Michael H

来源：Electronic Journal of Statistics, 2013, 7(0): 793-819.

DOI：10.1214/13-EJS790

• Autoregression
• conditional mean
• ergodicity
• goodness-of-fit test
• integer-valued processes
• local alternatives

We are studying a novel class of goodness-of-fit tests for parametric count time series regression models. These test statistics are formed by considering smoothed versions of the empirical process of the Pearson residuals. Our construction yields test statistics which are consistent against Pitman%26apos;s local alternatives and they converge weakly at the usual parametric rate. To approximate the asymptotic null distribution of the test statistics, we propose a parametric bootstrap method and we study its properties. The methodology is applied to simulated and real data.

• 出版日期2013