An empirical-likelihood-based structural-change test for INAR processes

被引:5
|
作者
Yu, Kaizhi [1 ]
Wang, Huiqiao [1 ]
Weiss, Christian H. [2 ]
机构
[1] Southwestern Univ Finance & Econ, Dept Stat, Chengdu, Peoples R China
[2] Helmut Schmidt Univ, Dept Math & Stat, POB 700822, D-22008 Hamburg, Germany
关键词
Count time series; COVID-19; empirical likelihood; INAR model; parameter change test; TIME-SERIES; INFERENCE; MODEL;
D O I
10.1080/00949655.2022.2109635
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The empirical likelihood ratio (ELR) test is proposed for uncovering a structural change in integer-valued autoregressive (INAR) processes. The limiting distribution is derived under the null hypothesis that the parameter did not change at the anticipated change points. To evaluate the finite-sample performance of the proposed ELR test, the empirical sizes and powers are investigated in a simulation study. The ELR test is also applied to real data on infectious disease and crime counts.
引用
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页码:442 / 458
页数:17
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