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An INAR(1) Model Based on Negative Binomial Thinning Operator with Serially Dependent Noise.
Mehrnaz Mohammadpour , Masoumeh Shirozhan
Abstract:   (590 Views)
‎In this paper‎, ‎we introduce a new integer-valued autoregressive model of first order based on the negative binomial thinning operator‎, ‎where the noises are serially dependent‎. ‎Some statistical properties of the model are discussed‎. ‎The model parameters are estimated by maximum likelihood and Yule-Walker methods‎. ‎By a simulation study‎, ‎the performances of the two estimation methods are studied‎. ‎This survey was carried out to study the efficiency of the new model by applying it on real data‎.
Keywords: ‎Over-Dispersion‎, ‎Negative Binomial Thinning‎, ‎Integer Valued Autoregressive (INAR) Model‎, ‎Maximum Likelihood‎, ‎Yule-Walker‎.
Full-Text [PDF 5493 kb]   (131 Downloads)    
Type of Study: Research | Subject: Time Series
Received: 2018/10/28 | Accepted: 2019/03/8
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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