Notes on Elementary Probability

Notes on Elementary Probability
Author: Liviu I. Nicolaescu
Publisher:
Total Pages: 309
Release: 2018-10-20
Genre: Probabilities
ISBN: 9781729025017

These are notes for the undergraduate probability class I have taught at the University of Notre Dame for several years. They cover the topics required for the actuaries Exam-p. I believe that the best way to understand probability is from examples and computer simulations. The book contains many classical examples and we have included the short R-programs used for class simulations. For this reason, the last chapter of the book offers a very basic introduction to R. We have included many exercises, of varied difficulty, inspired from undergraduate courses in North America and Europe. The complete solutions are contained in Appendix B of the book.

Elementary Probability

Elementary Probability
Author: David Stirzaker
Publisher: Cambridge University Press
Total Pages: 540
Release: 2003-08-18
Genre: Mathematics
ISBN: 1139441035

Now available in a fully revised and updated second edition, this well established textbook provides a straightforward introduction to the theory of probability. The presentation is entertaining without any sacrifice of rigour; important notions are covered with the clarity that the subject demands. Topics covered include conditional probability, independence, discrete and continuous random variables, basic combinatorics, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous worked examples and exercises to help build the important skills necessary for problem solving.

Elementary Probability for Applications

Elementary Probability for Applications
Author: Rick Durrett
Publisher: Cambridge University Press
Total Pages: 255
Release: 2009-07-31
Genre: Mathematics
ISBN: 1139480731

This clear and lively introduction to probability theory concentrates on the results that are the most useful for applications, including combinatorial probability and Markov chains. Concise and focused, it is designed for a one-semester introductory course in probability for students who have some familiarity with basic calculus. Reflecting the author's philosophy that the best way to learn probability is to see it in action, there are more than 350 problems and 200 examples. The examples contain all the old standards such as the birthday problem and Monty Hall, but also include a number of applications not found in other books, from areas as broad ranging as genetics, sports, finance, and inventory management.

Introduction to Probability

Introduction to Probability
Author: David F. Anderson
Publisher: Cambridge University Press
Total Pages: 447
Release: 2017-11-02
Genre: Mathematics
ISBN: 110824498X

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Elementary Probability Theory with Stochastic Processes

Elementary Probability Theory with Stochastic Processes
Author: K. L. Chung
Publisher: Springer Science & Business Media
Total Pages: 332
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475739737

This book provides an elementary introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, amply motivated, explained and illustrated with a large number of carefully selected samples. The fourth edition adds material related to mathematical finance, as well as expansions on stable laws and martingales.

Probability Space

Probability Space
Author: Nancy Kress
Publisher: Macmillan
Total Pages: 372
Release: 2004-01-05
Genre: Fiction
ISBN: 9780765345141

Nancy Kress cemented her reputation in SF with the publication of her multiple-award–winning novella, “Beggars in Spain,” which became the basis for her extremely successful Beggars Trilogy (comprising Beggars in Spain, Beggars and Choosers, and Beggars Ride). And now she brings us Probability Space, the conclusion of the trilogy that began with Probability Moon and then Probability Sun, which is centered on the same world as Kress’s Nebula Award-winning novelette, “Flowers of Aulit Prison.” The Probability Trilogy has already been widely recognized as the next great work by this important SF writer. In Probability Space, humanity’s war with the alien Fallers continues, and it is a war we are losing. Our implacable foes ignore all attempts at communication, and they take no prisoners. Our only hope lies with an unlikely coalition: Major Lyle Kaufman, retired warrior; Marbet Grant, the Sensitive who’s involved with Kaufman; Amanda, a very confused fourteen-year-old girl; and Magdalena, one of the biggest power brokers in all of human space. As the action moves from Earth to Mars to the farthest reaches of known space, with civil unrest back home and alien war in deep space, four humans--armed with little more than an unproven theory--try to enter the Fallers’ home star system. It’s a desperate gamble, and the fate of the entire universe may hang in the balance.

Probability

Probability
Author: David Santos
Publisher: Jones & Bartlett Learning
Total Pages: 414
Release: 2011-08-24
Genre: Mathematics
ISBN: 0763784117

Probability: An Introduction provides the fundamentals, requiring minimal algebraic skills from the student. It begins with an introduction to sets and set operations, progresses to counting techniques, and then presents probability in an axiomatic way, never losing sight of elucidating the subject through concrete examples. The book contains numerous examples and solved exercises taken from various fields, and includes computer explorations using Maple.

High-Dimensional Probability

High-Dimensional Probability
Author: Roman Vershynin
Publisher: Cambridge University Press
Total Pages: 299
Release: 2018-09-27
Genre: Business & Economics
ISBN: 1108415199

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Introduction to Probability

Introduction to Probability
Author: Dimitri Bertsekas
Publisher: Athena Scientific
Total Pages: 544
Release: 2008-07-01
Genre: Mathematics
ISBN: 188652923X

An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.

Elementary Probability with Applications

Elementary Probability with Applications
Author: Larry Rabinowitz
Publisher: CRC Press
Total Pages: 208
Release: 2016-11-03
Genre: Mathematics
ISBN: 1498771335

Elementary Probability with Applications, Second Edition shows students how probability has practical uses in many different fields, such as business, politics, and sports. In the book, students learn about probability concepts from real-world examples rather than theory. The text explains how probability models with underlying assumptions are used to model actual situations. It contains examples of probability models as they relate to: Bloc voting Population genetics Doubling strategies in casinos Machine reliability Airline management Cryptology Blood testing Dogs resembling owners Drug detection Jury verdicts Coincidences Number of concert hall aisles 2000 U.S. presidential election Points after deuce in tennis Tests regarding intelligent dogs Music composition Based on the author’s course at The College of William and Mary, the text can be used in a one-semester or one-quarter course in discrete probability with a strong emphasis on applications. By studying the book, students will appreciate the subject of probability and its applications and develop their problem-solving and reasoning skills.