Statistics

For one- or two-semester Basic Probability courses in the departments of Mathematics, Physics, Engineering, Statistics, Actuarial Science, Operations Research, and Computer Science.

Probability is presented in a very clear way in this text: through interesting and instructive examples and exercises that motivate the theory, definitions, theorems, and methodology. Due to its unique organization, this text has also been successfully used in teaching courses in discrete probability.

• NEW - An official reference for The American Actuarial Society.

  • Encourages both students and instructors by enabling them to use the main reference for the mathematical foundations of actuarial science.

• NEW - Chapter on Stochastic ProcessesCovers more in-depth material on Poisson processes, presents the basics of Markov chains, continuous-time Markov chains, and Brownian Motion. This text is now the most comprehensive available in probability.

  • Allows instructors to use this text for a second course as well.

• NEW - Applications of probability and stochastic processes in financeIncludes some practical, meaningful, non-trivial, and relevant applications of probability and stochastic processes in finance, economics, and actuarial sciences. 

  • This expands the audience. 

• NEW - Comprehensive new section on applications to GeneticsCovers basic concepts of genetics including many important examples throughout the book.  

  • This text can now be sampled and sold in biology departments.

• NEW - New section on Survival Analysis and Hazard Functions .

  • This material will be of value to actuarial students.

• NEW - Fine-tuned for accuracyPraised for being very accurate and virtually error free.

  • Gives students a text that has been tested and proven successful.

• NEW - More explanations and clarifying comments.

  • Helps students tackle this complex subject.

• NEW - 276 new exercises and examplesAdds new application problems.

  • Enables students to have better hands-on experience than the previous edition.

• NEW - More insightful and better solutions.

  • Explains to students the why's and how's of problem-solving.

• Historical roots and applications of many of the theorems and definitions.

  • Presents for students these items in detail, providing suitable examples and counterexamples, facilitating learning.  

• Simple probabilistic argumentsGiven with the usual analytic proofs.

  • Promotes students' deeper understanding of the subject.

• Clear organizationBegins with discussions on probability and its definition, rather than with combinatorics.

  • Allows students to understand the need for methods of counting before moving on to more complicated concepts; students will understand the natural connection between these two areas.

• Separate section on the law of multiplicationIncludes the law of multiplication, the law of total probability, and Bayes' Theorem.

  • Gives students the full share of attention and coverage needed to understand these fundamental uses of conditional probability.

• Early introduction of expectation and variance.

  • Defines for students these important concepts early in the text, enabling them to use them as quickly as possible.

• Poisson processes, usefulness of uniform densities, normal density, exponential random variables, joint distributions and conditioning, and pattern appearance.

  • Presents students with the most comprehensive yet reader-friendly text on the market. The author's explanation of these concepts is given in a most natural manner.

• Complete solution manual for instructorsIncludes author's solutions to all of the 1224 exercises. Also includes answers to odd-numbered exercises at the back of the text.

  • Provides both students and instructors with valuable course support.

• VersatileIncludes over 1557 problems and exercises.

  • Allows instructors to select their favorite exercises for class assignments; enables them to omit some sections altogether to tailor the text to their course needs.

• An official reference for The American Actuarial Society.

  • Supports both students and instructors by enabling them to use the main reference for the mathematical foundations of actuarial science.

• Chapter on Stochastic ProcessesCovers more in-depth material on Poisson processes, presents the basics of Markov chains, continuous-time Markov chains, and Brownian Motion. This text is not only challenging, but comprehensive.

  • Allows instructors to use this text for a second course as well.

• Applications of probability and stochastic processes in financeIncludes some practical, meaningful, non-trivial, and relevant applications of probability and stochastic processes in finance, economics, and actuarial sciences. 

• Comprehensive new section on applications to GeneticsCovers basic concepts of genetics including many important examples throughout the book.

• New section on Survival Analysis and Hazard Functions.

  • Book is useful to the diverse range of students (finance, biology) who take this course.

• Fine-tuned for accuracyPraised for being very accurate and virtually error free.

  • Gives students a text that has been tested and proven successful.

• More explanations and clarifying comments.

  • Helps students tackle this complex subject.

• 276 new exercises and examplesAdds new application problems.

  • Enables students to have better hands-on experience than the previous edition.

• More insightful and better solutions.

  • Explains to students the why's and how's of problem-solving.

(NOTE: Each chapter ends with a Review Problems section.)

 1. Axioms of Probability.


 2. Combinatorial Methods.


 3. Conditional Probability and Independence.


 4. Distribution Functions and Discrete Random Variables.


 5. Special Discrete Distributions.


 6. Continuous Random Variables.


 7. Special Continuous Distributions.


 8. Bivariate Distributions.


 9. Multivariate Distributions.


10. More Expectations and Variances.


 11. Sums of Independent Random Variables and Limit Theorems.


12. Stochastic Processes.


 13. Simulation.


Appendix Tables.


Answers to Odd-Numbered Exercises.


Index.

Probability (Statistics)

View a Sample Chapter PDF:

• Interwrite Personal Response System
  EduCue, Addison-Wesley & Benjamin Cummings
  © 2004 | Benjamin Cummings | Electronic Supplement | Instock
  ISBN-10: 0321267354 | ISBN-13: 9780321267351
  
  
  
• iClicker Classroom Response System
  iClicker, Addison-Wesley & Benjamin Cummings
  © 2008 | Benjamin Cummings | Electronic Supplement | Instock
  ISBN-10: 032153705X | ISBN-13: 9780321537058
  
  
  

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• Fundamentals of Probabillity, eTextbook, 3/E
  Ghahramani
  © 2005 | Prentice Hall | Café Scribe; 644 pages | Estimated Availability: 07/05/2004
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