The first two chapters of this dissertation discuss multivariate long memory models. First, we discuss two distinct parametric multivariate time-series models. We discuss the implications of the models and describe an extension to fractional cointegration. We describe algorithms for computing the covariances of each model, for computing the likelihood and for simulating from each model. These a...

During solidification of metallic alloys, coalescence leads to the formation of solid bridges between grains or grain clusters when both solid and liquid phases are percolated. As such, it represents a key transition with respect to the mechanical behavior of solidifying alloys and to the prediction of solidification cracking. Coalescence starts at the coherency point when the grains begin to t...

Using semantic network analysis, this paper examines how three types of Twitter influencers and the regular users frame “President Trump” in discourses Trade War. In addition to revealing central words word clusters adopted by different categories users, also studies co-evolved over time between using coherency lag analysis. Overall, we discovered that all took a negative stance on illustrating...

This paper proposes a novel approach for coherent generators online clustering in a large power system following a wide area disturbance. An interconnected power system may become unstable due to severe contingency when it is operated close to the stability boundaries. Hence, the bulk power system controlled islanding is the last resort to prevent catastrophic cascading outages and wide area bl...

Plaids are ambiguous stimuli that can be perceived either as a coherent pattern moving rigidly or as two gratings sliding over each other. Here we report a new factor that affects the relative strength of coherency versus transparency: the global direction of motion of the plaid. Plaids moving in oblique directions are perceived as sliding more frequently than plaids moving in cardinal directio...