Год выпуска: 2011 Автор: Prof Magid Maatallah Издательство: LAP Lambert Academic Publishing Страниц: 120 ISBN: 9783845437736
Описание
PROBABILITY THEORY is an entirely mathematical subject. Starting with the description of a problem, we apply the axioms and rules of the theory to solve well-specified problems. Our starting point is a Probability Model, i.e. a fully specified distribution P for a given variable (or variables, or process. . . ). STATISTICS (or Statistical Inference) can be regarded as the inverse of Probability: STATISTICS = (PROBABILITY)?1. We do not start with a known probability distribution and explore its mathematically determined properties. Instead, we start with DATA, regarded as having been generated from some unknown probability distribution P, and want to say something sensible about P (perhaps so as to be able to say something sensible about future variables also generated from P). STATISTICS: observed values x ? properties of unknown generating distribution P PROBABILITY: known P ? properties of (as yet unobserved) observables X . Although the top route is entirely mathematical,...