Title
Model selection for time series of count data.
Abstract
Selecting between competing statistical models is a challenging problem especially when the competing models are non-nested. An effective algorithm is developed in a Bayesian framework for selecting between a parameter-driven autoregressive Poisson regression model and an observation-driven integer valued autoregressive model when modelling time series count data. In order to achieve this a particle MCMC algorithm for the autoregressive Poisson regression model is introduced. The particle filter underpinning the particle MCMC algorithm plays a key role in estimating the marginal likelihood of the autoregressive Poisson regression model via importance sampling and is also utilised to estimate the DIC. The performance of the model selection algorithms are assessed via a simulation study. Two real-life data sets, monthly US polio cases (1970–1983) and monthly benefit claims from the logging industry to the British Columbia Workers Compensation Board (1985–1994) are successfully analysed.
Year
DOI
Venue
2018
10.1016/j.csda.2018.01.002
Computational Statistics & Data Analysis
Keywords
Field
DocType
62M10,62F15
Econometrics,Autoregressive model,Markov chain Monte Carlo,Particle filter,Model selection,Marginal likelihood,Statistical model,Poisson regression,Count data,Statistics,Mathematics
Journal
Volume
ISSN
Citations 
122
0167-9473
1
PageRank 
References 
Authors
0.35
0
5
Name
Order
Citations
PageRank
Naif Alzahrani110.35
Peter Neal2164.26
Simon E. F. Spencer310.69
Trevelyan J. McKinley4184.01
Panayiota Touloupou510.35