Durrett Rick Probability Theory And Examples 4th Ed
Download Durrett Rick Probability Theory And Examples 4th Ed PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Durrett Rick Probability Theory And Examples 4th Ed book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Probability
Author: Rick Durrett
language: en
Publisher: Cambridge University Press
Release Date: 2010-08-30
This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.
Probability-Based Structural Fire Load
Author: Leo Razdolsky
language: en
Publisher: Cambridge University Press
Release Date: 2014-08-25
This book introduces the subject of probabilistic analysis to engineers and can be used as a reference in applying this technology.
Portfolio Theory and Arbitrage: A Course in Mathematical Finance
Author: Ioannis Karatzas
language: en
Publisher: American Mathematical Soc.
Release Date: 2021-09-20
This book develops a mathematical theory for finance, based on a simple and intuitive absence-of-arbitrage principle. This posits that it should not be possible to fund a non-trivial liability, starting with initial capital arbitrarily near zero. The principle is easy-to-test in specific models, as it is described in terms of the underlying market characteristics; it is shown to be equivalent to the existence of the so-called “Kelly” or growth-optimal portfolio, of the log-optimal portfolio, and of appropriate local martingale deflators. The resulting theory is powerful enough to treat in great generality the fundamental questions of hedging, valuation, and portfolio optimization. The book contains a considerable amount of new research and results, as well as a significant number of exercises. It can be used as a basic text for graduate courses in Probability and Stochastic Analysis, and in Mathematical Finance. No prior familiarity with finance is required, but it is assumed that readers have a good working knowledge of real analysis, measure theory, and of basic probability theory. Familiarity with stochastic analysis is also assumed, as is integration with respect to continuous semimartingales.