A Case Study using Bitcoin, Ethereum, Cardano, and more. — Introduction The Kelly criterion is a well-known strategy for sizing bets to maximize long-run expected log wealth. It is widely applied to sports betting and casino gambling. Most sources provide coverage only for the single-asset case, however. …

The definitive mathematical guide. — Ordinary least squares regression is a standard technique everyone should be familiar with. We motivate the linear model from the perspective of the Gauss-Markov Theorem, discern between the overdetermined and underdetermined cases, and apply OLS regression to a wine quality dataset. Contents The Linear Model The Gauss Markov Theorem The Underdetermined…

Making the most of your compute power. — Whether you use scripting languages like Matlab and R, or high-level languages like Python, Java, or C++, optimizing for performance is a must. We review tricks for speeding up your program that every coder should know. 1. Parallelization Parallelization is one of the most common, but oft-forgotten ways to increase the throughput…

Told through the lens of Julia — Julia is one of my all-time favorite programming languages. Not only is it easy to pick up like Python, but it also has the speed of C. It is said, however, that Julia users come for the performance and stay for multiple dispatch. …