In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual population system having Fisher’s 1:1 principle. In our model, we always assume that distributions of the same phenotype of female and male populations are equal. We study the evolution of a Mendelian trait. As an application of a non-Mendelian inheritance, we construct a quadrat...

In this paper, we examine how to the performance of high-frequency pairs trading strategies are impacted by the allocation within the pair, opening and closing thresholds, restriction to daily trading, and transaction costs. We generate portfolios by applying high-frequency pairs trading strategies to the pair consisting of Exxon Mobil Corporation (XOM) and Chevron Corporation (CVX) during the ...