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Periodic integer-valued bilinear time series model

Mohamed Bentarzi and Wissam Bentarzi

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 3, 1184-1201

Abstract: This paper deals with the study of some probabilistic and statistical properties of a periodic integer-valued diagonal bilinear model. The existence of a periodically strict stationary integer-valued process is shown. Sufficient conditions for the periodically stationary, both in the first and second orders, are established. The closed-forms of the mean and the second moment are obtained. The closed-form of the periodic autocovariance function is established. The Yule–Walker estimations of the underlying parameters are obtained. A simulation study is provided.

Date: 2017
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DOI: 10.1080/03610926.2015.1014107

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