PROBABILITY, OPTIMIZATION THEORY, AND EVOLUTION

Probability, Optimization Theory and Evolution

Perhaps it is not surprising that mathematics has always been popular among anti-evolutionists. Math is unique in its ability to bamboozle a lay audience, making it well-suited to their purposes. William Dembski, of Baylor University, represents the cutting edge in anti-Darwinian mathematics. His bailiwick is probability and information theory, which he fashions into a formidable, but ultimatel...

Optimal Inequalities in Probability Theory: A Convex Optimization Approach

We address the problem of deriving optimal inequalities for P(X E S), for a multivariate random variable X that has a given collection of moments, and S is an arbitrary set. Our goal in this paper is twofold: First, to present the beautiful interplay of probability and optimization related to moment inequalities, from a modern, optimization based, perspective. Second, to understand the complexi...

Optimal Inequalities in Probability Theory: A Convex Optimization

Probability: Theory and Examples

1 Brownian Motion 2 1.

Measure theory and probability

1 Construction of measures 3 1.