Time series of (small) counts are common in practice and appear in a wide variety of fields. In the last three decades, several models that explicitly account for the discreteness of the data have been proposed in the literature. However, for multivariate time series of counts several difficulties arise and the literature is not so detailed. This work considers Bivariate INteger-valued Moving Average, BINMA, models based on the binomial thinning operation. The main probabilistic and statistical properties of BINMA models are studied. Two parametric cases are analysed, one with the cross-correlation generated through a Bivariate Poisson innovation process and another with a Bivariate Negative Binomial innovation process. Moreover, parameter estimation is carried out by the Generalized Method of Moments. The performance of the model is illustrated with synthetic data as well as with real datasets.

Information about the paper titled "DATA ANALYSIS AND LEARNING ANALYTICS FOR MEASURE EFFECTS OF GAMIFICATION IN A MATH ONLINE PROJECT" at IATED Digital Library

Information about the paper titled "FORMATIVE ASSESSMENT IN HIGHER EDUCATION: DETECTION AND IMPROVEMENT ON LEARNING LEVEL" at IATED Digital Library

Information about the paper titled "QUIZ MAKER TOOLS: ANALYSIS AND PEDAGOGICAL APPLICATIONS" at IATED Digital Library