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Have you ever wondered whether Bayesian analysis can be applied toward the stock market? We did, and set out to investigate.This book shows you how to find relationships between stocks or exchange traded funds (ETFs) using Bayesian analysis.A relationship that most traders are probably familiar with is linear correlation. This is sometimes used as the basis for pairs trading. But linear correlation is just one way that stocks or ETFs can be related.The analysis we present in this book can be used to exploit almost any kind of relationship that may exist between stocks or ETFs. The book will show how to calculate the probability of a stock or ETF ending the day up or down based on what other stocks or ETFs are doing.A probability is more useful than a simple up or down signal. It quantifies the certainty of a prediction and allows a trader to take a position consistent with a given level of risk.Any active trader should find the techniques presented in this book useful. We are only going to examine the relationships in one small group of ETFs as an example of what is possible but the same techniques will work for any set of stocks, ETFs, or even bonds.The tool we use to calculate the probability of a positive or negative return on a stock or ETF is called a Bayesian classifier. It is called a classifier because it calculates probabilities for only two discrete outcomes: positive or negative.The method we use to calculate these probabilities is called Bayes' Theorem.

There is a newer edition of this book, ISBN: 9781887187480 This book will help you learn combinatorics in the most effective way possible - through problem solving. It contains over 200 combinatorics problems with detailed solutions.Combinatorics is that part of mathematics that involves counting. It is therefore a fundamental part of math, and mastering it gives you wide reaching powers. The applications of combinatorics include: probability, cryptography, error correcting, games, music, and visual art. It can help you understand other parts of math from a more fundamental perspective.The book begins with the basics of what is needed to solve combinatorics problems, including: definitions, a guide (or classification system) for solving problems based on the twelvefold way, as well as an overview of combinatorics.The remainder of the book consists of problems and solutions. There are 2 separate groups of problems in this book. The first group consists of 82 problems, while the second group has another 124 problems (called exercises). Each group of problems begins with the easiest ones that anyone can solve and progresses to greater difficulty.This book is good preparation for more advanced combinatorics texts such as Lovasz's Combinatorial Problems and Exercises.

"The history and physics of the Crookes radiometer, also known as a light mill. Invented in the early 1870's by Sir William Crookes, this device has challenged some of the greatest minds in physics, such as James Clerk Maxwell and Albert Einstein, to explain its behavior. It continues to be manufactured to this day, and sold as a curiosity and educational aid"--