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This dissertation develops a first-order multivariate Poisson integer-valued autoregressive (MPINAR(1)) model to improve disease outbreak detection in public health surveillance systems. The MPINAR(1) model is proposed as a computationally tractable alternative to the general multivariate...

This dissertation develops a negative binomial integer-valued generalized autoregressive conditional heteroscedastic model of order p, q (negative binomial INGARCH(p, q)) for overdispersed count time series data with potential extreme values. The model is formulated such that its conditional...

Human activities such as burning fossil fuels, cutting down forests and livestock farming have caused an increase in the earth’s surface temperature by 1.0 °C since the preindustrial levels. Warmer temperatures over time are altering global weather patterns. These alterations have been resulting...