Four Canadian Contributions to Stochastic Modeling

Four Canadian Contributions to Stochastic Modeling

We outline the history, significance, and impact of four important contributions by Canadian researchers to stochastic modeling for operational research: the use of the uniformization method to compute transient probabilities for Markov chains, pioneered by Winfried K. Grassmann, contributions to Markov decision processes by Martin L. Puterman, contributions to the development of random number ...

Four Contributions to Experimental Economics

Contributions to copula modeling

This report summarizes my contributions to copulas modeling. Two main research topics are addressed: The construction of semiparametric family of copulas based on a set of orthonormal functions and a matrix and the design of efficient estimation procedures.

Stochastic agent-based modeling of tuberculosis in Canadian Indigenous communities

BACKGROUND In Canada, active tuberculosis (TB) disease rates remain disproportionately higher among the Indigenous population, especially among the Inuit in the north. We used mathematical modeling to evaluate how interventions might enhance existing TB control efforts in a region of Nunavut. METHODS We developed a stochastic, agent-based model of TB transmission that captured the unique hous...

3D stochastic rock fracture modeling related to strike-slip faults

Fault zones and fault-related fracture systems control the mechanical behaviors and fluid-flow properties of the Earth’s crust. Furthermore, nowadays, modeling is being increasingly used in order to understand the behavior of rock masses, and to determine their characteristics. In this work, fault zones and fracture patterns are reviewed, and also comprehensive studies are carried out on the fr...