Probability Theory and Mathematical Statistics Problem Solving (4th Edition)

Author: Yao Mengchen
Publisher:
Publish Date: 2005-03-01
Features: This book strictly follows the structure of the "Examination Syllabus" and divides chapters accordingly. Each chapter consists of four parts:
Examination Syllabus Requirements – This section provides a verbatim introduction to the syllabus's stipulations on the chapter's examination content and requirements, giving readers a comprehensive overview.
Basic Content and Key Conclusions – This section meticulously summarizes and thoroughly elaborates on the examination content and key points outlined in the syllabus. The goal is to enable readers to gain an in-depth understanding and comprehensive mastery of fundamental concepts, important formulas, and theorems.
Analysis of Typical Examples – This section focuses on carefully selected past graduate entrance examination questions and a set of typical examples. It encompasses various problem-solving methods, many of which are ingenious and well-thought-out, greatly benefiting readers in deepening their comprehension of fundamental content, broadening their thinking, and developing flexible problem-solving skills.
Self-Assessment Exercises and Reference Answers – This section includes targeted exercises (with answers provided) for readers to use as self-assessment practice. Due to the book's limited length, 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 additional questions from other sources.
This book is part of the "Examination Experts Guidance" series of specialized training materials for postgraduate entrance examinations in mathematics. It is compiled in accordance with the relevant requirements of the newly issued "National Master of Arts Entrance Examination Mathematics Syllabus" by the Ministry of Education and incorporates the author's extensive experience in exam question setting, grading, and tutoring. The book is divided into eight chapters according to the 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 consists of 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 national postgraduate entrance examination tutoring. They possess extensive teaching and tutoring expertise, and the textbooks, supplementary materials, and courses they develop have had a significant impact on students preparing for the exam over the years.
This book features a large volume of questions, a wide variety of question types, broad coverage, and a well-balanced distribution of difficulty levels and cognitive levels. It can serve as a teaching resource for postgraduate entrance examination tutoring classes or as a self-study guide for candidates. It is also an excellent learning tool or reference book for undergraduate students and mathematicians.