Integer-valued bilinear time series model with signed generalized power series thinning operator

Abstract

ABSTRACT We propose an integer-valued bilinear model with signed generalized power series thinning operator which provides more flexibility in modelling negative integer-valued time series together with negative correlation. Strict stationarity and some properties of the process are determined, unknown parameters are estimated by several methods and the behaviour of the estimators is described through the numerical results. Finally, the analysis of three real data sets has been presented for illustrative purposes.