Introduction to probability with mathematica

著者

• Hastings, Kevin J.

書誌事項

Introduction to probability with mathematica

Kevin Hastings

Chapman & Hall/CRC, c2001

注記

Includes bibliographical references (p. 373-374) and index

内容説明・目次

内容説明

Newcomers to the world of probability face several potential stumbling blocks. They often struggle with key concepts-sample space, random variable, distribution, and expectation; they must regularly confront integration, infrequently mastered in calculus classes; and they must labor over lengthy, cumbersome calculations. Introduction to Probability with Mathematica is a groundbreaking text that uses a powerful computer algebra system as a pedagogical tool for learning and using probability. Its clever use of simulation to illustrate concepts and motivate important theorems gives it an important and unique place in the library of probability theory. The author smoothly integrates the technology with the traditional approach and subject matter, thereby augmenting rather than overpowering it. This book lives and breathes in the sense that not only can it be read and studied in an armchair, but each section also exists as a fully executable Mathematica (R) notebook on the CRC Web site. Students will find Introduction to Probability with Mathematica an engaging, accessible, yet challenging way to venture into the fascinating subject of probability.

目次

DISCRETE PROBABILITY The Cast of Characters Properties of Probability Simulation Random Sampling Conditional Probability Independence DISCRETE DISTRIBUTIONS Discrete Random Variables, Distributions, and Expectations Bernoulli and Binomial Random Variables Geometric and negative Binomial Random Variables Poisson Distribution Joint, Marginal, and Conditional Distributions More on Expectation CONTINUOUS PROBABILITY From the Finite to the (Very) Infinite Continuous Random Variables and Distributions Continuous Expectation CONTINUOUS DISTRIBUTIONS The Normal Distribution Bivariate Normal Distribution New Random Variable from Old Gamma Distributions Chi-Square, Student's t, and F-Distributions ASYMPTOTIC THEORY Strong and Weak Laws of Large Numbers Central limit Theorem APPLICATIONS OF PROBABILITY Markov Chains Queues Mathematical Finance APPENDIX Short Answers to Selected Exercises Glossary of Mathematica Commands for Probability

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詳細情報

• NII書誌ID(NCID): BA50626200
• ISBN:
  • 1584881097
• LCCN: 00046857
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Boca Raton, FL
• ページ数/冊数: 380 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA273.19.E4
  • DC21 : 519.2/0285/5369