Probability Theory and Mathematical Statistics Lecture Notes (Basic Part)

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Features: This book is a review guide for the entrance examination subjects "Probability Theory and Mathematical Statistics" for postgraduate students in engineering, economics, and management. The authors have been involved in reading postgraduate entrance examination math papers and teaching in postgraduate tutoring classes for many years, deeply understanding the difficulties and confusions of examinees. They have combined their teaching experience with the realities of examinees and the exam to refine, summarize, and organize the content into this book, dedicating it to a broad readership with the aim of improving the teaching level and exam scores of postgraduate candidates. The book is closely aligned with the math exam syllabus, practical, and rich in content. It is divided into 8 chapters, including: Random Events and Probability, Random Variables and Their Distributions, Multidimensional 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, etc. The book has an innovative structure, with each chapter organized into four parts: Exam Requirements, Review Key Points (important definitions, theorems, and formulas), Analysis of Typical Examples, and Practice Questions. The book presents concepts concisely, with clear problem-solving approaches. It explains typical examples from multiple perspectives, angles, and with various methods, emphasizing the understanding of fundamental concepts, training in multiple types of basic problems, and the development of comprehensive problem-solving skills. It serves as an excellent review guide and a helpful mentor for postgraduate candidates. This book can also be used as a foundational review guide for the "Probability Theory and Mathematical Statistics" portion of the postgraduate entrance examination for math I, III, and IV. For current university students, college students, and self-study candidates, it is also a valuable reference book.