Title
Estimation And Testing For The Integer-Valued Threshold Autoregressive Models Based On Negative Binomial Thinning
Abstract
To better describe the characteristics of time series of counts such as overdispersion or structural change, in this paper, we redefines the integer-valued threshold autoregressive models based on negative binomial thinning (NBTINAR(1)) under a weaker condition that the expectation of the innovations is finite. Parameters' point estimation and interval estimation problems are considered. A method to test the nonlinearity of the data is provided. As an illustration, we conduct a simulation study and empirical analysis of Pittsburgh crime data sets.
Year
DOI
Venue
2021
10.1080/03610918.2019.1586929
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
DocType
Volume
Threshold autoregressive processes, Change point autoregressive processes, Negative binomial thinning, Empirical likelihood, Nonlinearity test
Journal
50
Issue
ISSN
Citations 
6
0361-0918
0
PageRank 
References 
Authors
0.34
2
5
Name
Order
Citations
PageRank
Xiaohong Wang100.68
Xiaohong Wang200.68
yang3157.73
Kai Yang400.34
Da Xu500.34