Inference for INAR (p) processes with signed generalized power series thinning operator

H Zhang, D Wang, F Zhu - Journal of Statistical Planning and Inference, 2010 - Elsevier
We propose a pth-order integer-valued autoregressive processes with signed generalized
power series thinning operator. Strictly stationarity, ergodicity of the process, the moments …

Multivariate integer-valued time series with flexible autocovariances and their application to major hurricane counts

J Livsey, R Lund, S Kechagias, V Pipiras - The Annals of Applied Statistics, 2018 - JSTOR
This paper examines a bivariate count time series with some curious statistical features:
Saffir–Simpson Category 3 and stronger annual hurricane counts in the North Atlantic and …

[HTML][HTML] Asymptotic behavior of unstable INAR (p) processes

M Barczy, M Ispány, G Pap - Stochastic Processes and their Applications, 2011 - Elsevier
In this paper the asymptotic behavior of an unstable integer-valued autoregressive model of
order p (INAR (p)) is described. Under a natural assumption it is proved that the sequence of …

[图书][B] Non-linear time series

K Turkman, MG Scotto, ZB Patrícia - 2014 - Springer
Linear processes have been one of the most fundamental tools in modeling serially
dependent data. These models and methods heavily depend on Gaussian processes and …

A p‐Order signed integer‐valued autoregressive (SINAR (p)) model

M Kachour, L Truquet - Journal of Time Series Analysis, 2011 - Wiley Online Library
In this article, we propose an extension of integer‐valued autoregressive INAR models.
Using a signed version of the thinning operator, we define a larger class of‐valued …

Exact and approximate Bayesian inference for low integer-valued time series models with intractable likelihoods

CC Drovandi, AN Pettitt, RA McCutchan - 2016 - projecteuclid.org
Exact and Approximate Bayesian Inference for Low Integer-Valued Time Series Models with
Intractable Likelihoods Page 1 Bayesian Analysis (2016) 11, Number 2, pp. 325–352 Exact and …

Model selection for time series of count data

N Alzahrani, P Neal, SEF Spencer, TJ McKinley… - … Statistics & Data …, 2018 - Elsevier
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 …

Bayesian model selection for beta autoregressive processes

R Casarin, L Dalla Valle, F Leisen - 2012 - projecteuclid.org
We deal with Bayesian model selection for beta autoregressive processes. We discuss the
choice of parameter and model priors with possible parameter restrictions and suggest a …

Integer valued AR processes with explanatory variables

V Enciso-Mora, P Neal, TS Rao - Sankhyā: The Indian Journal of Statistics …, 2009 - JSTOR
Integer valued AR (INAR) processes are perfectly suited for modelling count data. We
consider the inclusion of explanatory variables into the INAR model to extend the …

Local asymptotic normality and efficient estimation for INAR(p) models

FC Drost, R Van Den Akker… - Journal of Time Series …, 2008 - Wiley Online Library
Integer‐valued autoregressive (INAR) processes have been introduced to model non‐
negative integer‐valued phenomena that evolve in time. The distribution of an INAR (p) …