Probability Theory: A Complete One-Semester Course by Nikolai Dokuchaev

Probability Theory: A Complete One-Semester Course

byNikolai Dokuchaev

Kobo ebook | June 12, 2015

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This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.


  • Probability

  • Random Variables

  • Joint Distributions

  • Transformations of the Distributions

  • Expectation of Random Variables

  • Variance and Covariance

  • Conditional Expectations

  • Moment Generating Functions

  • Analysis of Some Important Distributions

  • Limit Theorems

  • Statistical Inference: Point Estimation

  • Statistical Inference: Interval Estimation

  • Appendices:

    • Solutions for the Problems for Weeks 1–12
    • Sample Problems for Final Exams
    • Some Bonus Challenging Problems
    • Statistical Tables

Readership: Undergraduate students, teachers and lecturers in Mathematics and Statistics.

Key Features:

  • This book is short and comprehensive
  • The amount of material is exactly as is needed for a one-semester course
  • There are enough problems with solutions to cover weekly tutorials
  • Supplementary PDF files of presentation slides are provided for lecturers who adopt the textbook
Title:Probability Theory: A Complete One-Semester CourseFormat:Kobo ebookPublished:June 12, 2015Publisher:World Scientific Publishing CompanyLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9814678058

ISBN - 13:9789814678056