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Updated to conform to Mathematica® 7.0, Introduction to Probability with Mathematica®, Second Edition continues to show students how to easily create simulations from templates and solve problems using Mathematica. It provides a real understanding of probabilistic modeling and the analysis of data and encourages the application of these ideas to practical problems. The accompanyingdownloadable resources offer instructors the option of creating class notes, demonstrations, and projects.
New to the Second Edition
Expanded section on Markov chains that includes a study of absorbing chains
New sections on order statistics, transformations of multivariate normal random variables, and Brownian motion
More example data of the normal distribution
More attention on conditional expectation, which has become significant in financial mathematics
Additional problems from Actuarial Exam P
New appendix that gives a basic introduction to Mathematica
New examples, exercises, and data sets, particularly on the bivariate normal distribution
New visualization and animation features from Mathematica 7.0
Updated Mathematica notebooks on the downloadable resources.
After covering topics in discrete probability, the text presents a fairly standard treatment of common discrete distributions. It then transitions to continuous probability and continuous distributions, including normal, bivariate normal, gamma, and chi-square distributions. The author goes on to examine the history of probability, the laws of large numbers, and the central limit theorem. The final chapter explores stochastic processes and applications, ideal for students in operations research and finance.
List of contents
Discrete Probability. Discrete Distributions. Continuous Probability. Continuous Distributions. Asymptotic Theory. Stochastic Processes and Applications. Appendix. References. Index.
About the author
Kevin J. Hastings is a professor of mathematics at Knox College in Galesburg, Illinois.
Summary
Updated to conform to Mathematica® 7.0, this second edition shows how to easily create simulations from templates and solve problems using Mathematica. Along with new sections on order statistics, transformations of multivariate normal random variables, and Brownian motion, this edition offers an expanded section on
