This research focused on parameter estimation and hypothesis testing of Bivariate Zero-Inflated Poisson Inverse Gaussian Regression (BZIPIGR) type II. BZIPIGR model is a mixed Poisson distribution used to model data with excess-zero and overdispersion. The parameter estimation in this study used the Maximum Likelihood Estimation (MLE) method. The first derivative of the log-likelihood function from the BZIPIGR model had obtained not closed-form. Therefore, to maximize the likelihood function, it had used numerical iteration, namely the Berndt-Hall-Hall-Hausman (BHHH). The determination of the critical area and the significance of the model parameters had used the Maximum Likelihood Ratio Test (MLRT).

Topics
d'Alembert ratio test, Estimation theory, Statistical analysis
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