A negative binomial thinning‐based bivariate INAR(1) process. (28th May 2020)

• Record Type: Journal Article
• Authors: Zhang, Qingchun; Wang, Dehui; Fan, Xiaodong
• Is Part Of: Statistica Neerlandica. Volume 74:Number 4(2020)
• Page Start: 517
• Page End: 537
• Publication Date: 2020-05-28
• Subjects: bivariate INAR(1) process -- bivariate negative binomial -- bivariate Poisson -- negative binomial thinning; Statistics -- Periodicals; 519.5; 314.92
• DOI: 10.1111/stan.12210
• Languages: English
• ISSNs: 0039-0402

Abstract

Abstract : This article considers a bivariate INAR(1) process based on an extension of the negative binomial thinning operator by prespecifying the distribution of the innovations. The dependence is introduced through the innovation components. The existence, uniqueness, strict stationarity, ergodicity, and some probabilistic properties of the process are derived. The estimation methods of conditional least squares and conditional maximum likelihood are considered. Some numerical results of the estimates are presented by simulation study. An application to crime data set is provided.