Title
First-order random coefficient mixed-thinning integer-valued autoregressive model
Abstract
The paper develops a first-order random coefficient mixed-thinning integer-valued autoregressive time series model (RCMTINAR(1)) to deal with the data related to the counting of elements of variable character. Moments and autocovariance functions for this model are studied as the distribution of the innovation sequence is unknown. The conditional least squares and modified quasi-likelihood are adopted to estimate the model parameters. Asymptotic properties of the obtained estimators are established. The performances of these estimators are investigated and compared with false modified quasi-likelihood via simulations. Finally, the practical relevance of the model is illustrated by using two applications to a SIMpass data set and a burglary data set with a comparison with relevant models that exist so far in the literature.
Year
DOI
Venue
2022
10.1016/j.cam.2022.114222
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
RCMTINAR(1) model,Mixed-thinning,Conditional least squares,Modified quasi-likelihood,Asymptotic distributions
Journal
410
ISSN
Citations 
PageRank 
0377-0427
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Leiya Chang100.34
Xiufang Liu200.34
yang3157.73
Yingchuan Jing400.34
Chenlong Li500.34