Probability Theory and Mathematical Statistics

Author: Chen Fangying, Xu Cuiwen, Zheng Geng
Publisher:
Publish Date: 2006-05-01
Features: This textbook is based on the reference of domestic and foreign similar textbooks and combines the authors' extensive experience in teaching probability theory and mathematical statistics courses in various university majors. It is written to meet the needs of cultivating comprehensive talents in higher education institutions in the 21st century. The authors fully consider the characteristics of the discipline and the learning characteristics and cognitive process of students. In addition to the arrangement of content, they combine the systematic knowledge of the discipline with teaching requirements, introducing the basic knowledge, fundamental theories, and basic methods of probability theory and mathematical statistics in a step-by-step and progressive manner. The book is accompanied by a rich selection of examples, with the examples emphasizing the explanation of problem-solving approaches, methods, and steps, enabling readers to deepen their understanding of the basic theories and methods of probability theory and mathematical statistics through examples. It helps readers learn to solve problems using probability and statistics methods and acquire some ability to establish probability and statistical models and solve practical problems. A certain number of exercises with varying difficulty levels are provided after each chapter, covering a wide range of topics to suit the needs of readers from different majors and levels. This book is not only suitable for students in the field of computational science but can also be used as a textbook or reference book for other science and engineering majors, as well as for management and economics majors after some chapters and content have been omitted. This textbook is based on domestic and foreign similar textbooks and combines the authors' extensive experience in teaching probability theory and mathematical statistics courses in different university majors. It is written to meet the needs of cultivating comprehensive talents in higher education institutions in the 21st century. The main content of the book includes random events and their probabilities, random variables and their distributions, the digital characteristics of random variables, limit theorems, the basic concepts of mathematical statistics, as well as parameter estimation and hypothesis testing. The book has a clear writing approach, is easy to understand yet thought-provoking, and is convenient for self-study. This book can be used as a textbook for science (non-mathematics majors), engineering, and economic management majors in higher education institutions.