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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Black-Scholes Equation And Heat Equation, Charles D. Joyner Jan 2016

Black-Scholes Equation And Heat Equation, Charles D. Joyner

Honors College Theses

First, we present and define the Black-Scholes equation which is used to model assets on the stock market. After that, we derive the heat equation that describes how the temperature increases through a homogeneous material. Finally, we detail how the two equations are related. We introduce and relate the Black-Scholes equation and Heat Equation.


On Stochastic Inequalities And Comparisons Of Reliability Measures For Weighted Distributions, Broderick O. Oluyede, E. Olusegun George Jan 2002

On Stochastic Inequalities And Comparisons Of Reliability Measures For Weighted Distributions, Broderick O. Oluyede, E. Olusegun George

Department of Mathematical Sciences Faculty Publications

Inequalities, relations and stochastic orderings, as well as useful ageing notions for weighted distributions are established. Also presented are preservation and stability results and comparisons for weighted and length-biased distributions. Relations for length-biased and equilibrium distributions as examples of weighted distributions are also presented.