An integer-valued bilinear time series model via random Pegram and thinning operators
In this paper, we introduce a new integer valued bilinear modeling based on the Pegram and thinning operators. Some statistical properties of the model are discussed. The model parameters are estimated by the conditional least square and Yule-Walker methods. By a simulation, the performances of the two estimation methods are studied. Finally, the efficiency of the proposed model is investigated by applying it on two real data sets.
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