finance. After reviewing a mathematical theory on commonfactors, also known as principal components, we compute empirical …

learning statistics and gives a brief history of mathematics and statistics. He then explains that insurance made the modern …

economics and financial applications. While studying the uniform properness of certain separable utility functions, we dispose … the reader with an overview of the modern literature on equilibrium theory. In particular, we highlight one interesting … self-consistent. Finally, we apply the theory developed throughout the rest of the thesis to establish necessary and …

We consider some problems in the stochastic portfolio theory of equity markets. In the first part, we maximize the … an infinite market in the second part, and extend the relative arbitrage theory of equity markets to a market which … and the small stocks have relatively larger return. We apply the stochastic portfolio theory to study the structure and …