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A goodness-of-fit test for Poisson count processes

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>2013
<mark>Journal</mark>Electronic Journal of Statistics
Issue number1
Volume7
Number of pages27
Pages (from-to)793-819
Publication statusPublished
Original languageEnglish

Abstract

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’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.