Probability Theory and Mathematical Statistics

Author: Yao Mengchen
Publisher:
Publish Date: 2005-03-01
Features: This book strictly follows the structure of the "Examination Syllabus" and is divided into chapters. Each chapter includes four parts:
Examination Syllabus Requirements — This section provides a verbatim introduction to the syllabus's regulations on the chapter's examination content and requirements, giving readers a comprehensive overview.
Basic Content and Important Conclusions — This section meticulously summarizes and thoroughly elaborates on the examination content and key points, aims to help readers gain an in-depth understanding and comprehensive mastery of relevant basic concepts, important formulas, and theorems.
Analysis of Typical Examples — This section focuses on carefully selected ( postgraduate entrance examination questions) and a batch of typical examples, summarizing various problem-solving methods. Many of the solutions are ingenious and well-thought-out, greatly benefiting readers in deeply grasping the basic content, broadening their thinking, and becoming flexible in problem-solving.
Self-Assessment Exercises and Reference Answers — This section specifically arranges several questions (with answers provided) for readers to use as self-assessment exercises. Due to the limited length of this book, the number of exercises provided may not fully meet the needs of preparation. To effectively prepare for the research entrance examination, readers may need to obtain more questions from other sources.
This book is part of the "Examination Experts Guidance" series of postgraduate entrance examination training books in mathematics. It is compiled according to the relevant requirements of the newly issued "National Master's Entrance Examination Mathematics Examination Syllabus" by the Ministry of Education and combines the author's extensive experience in participating in examination question-setting, grading, and tutoring. The book is divided into eight chapters according to the "Examination Syllabus": Random Events and Probability, Univariate Random Variables and Their Distributions, Bivariate Random Variables and Their Distributions, Digital Characteristics of Random Variables, Law of Large Numbers and Central Limit Theorem, Basic Concepts of Mathematical Statistics, Parameter Estimation, and Hypothesis Testing. Each chapter includes four parts: Examination Syllabus Requirements, Basic Content, Analysis of Typical Examples, and Self-Assessment Exercises with Reference Answers.
The author is a renowned professor at Peking University with years of experience in teaching fundamental mathematics and participating in postgraduate entrance examination tutoring. They possess rich teaching and tutoring experience, and the textbooks, supplementary materials, and courses they have written have had a significant impact on students who have taken the postgraduate entrance examination over the years.
This book features a large volume of questions, a wide variety of question types, broad coverage, and a reasonable distribution of difficulty levels and cognitive levels, making it suitable as a teaching aid for postgraduate entrance examination tutoring classes or as a self-study book for candidates. It is also an excellent learning or reference book for undergraduate students and mathematicians.