An integer-valued bilinear time series model via two random operators. Issue 4 (4th July 2019)

• Record Type: Journal Article
• Authors: Mohammadpour, M.; Bakouch, Hassan S.; Ramzani, S.
• Is Part Of: Mathematical and computer modelling of dynamical systems. Volume 25:Issue 4(2019)
• Page Start: 429
• Page End: 446
• Publication Date: 2019-07-04
• Subjects: Autocovariance function -- Binomial thinning operator -- Estimation -- Integer-valued bilinear processes -- Pegram operator; Engineering -- Mathematical models -- Periodicals; Computer simulation -- Periodicals; 515.39
• DOI: 10.1080/13873954.2019.1652655
• Languages: English
• ISSNs: 1387-3954

Abstract

ABSTRACT: This paper presents a new stationary integer-valued bilinear time series model of the first order by mixing the thinning and Pegram operators. Some statistical properties of the model are obtained, involving the conditional moments, autocovariance and spectral density function. Estimation of the model parameters is discussed using the Yule-Walker and conditional least squares methods with a simulation study for evaluating the performance of those estimators. Applicability of the process is investigated using a practical count data set with comparing the model to a competitive bilinear model using some marginal distributions of innovations. Issue of forecasting data is discussed under the proposed model.