Probability and Statistics

Author: Gao Lidan
Publisher:
Publish Date: 2004-06-01
Features: This book is listed as a "High Education Excellent Textbook Project" by the Beijing Municipal Education Commission. It serves as a foundational textbook for "Probability and Statistics" in economic, management, and engineering disciplines at higher vocational and technical colleges. The book is compiled in accordance with the "Basic Requirements for Mathematics Curriculum Teaching" formulated by the Ministry of Education, as well as the author's extensive teaching experience in "Probability and Statistics" for vocational students and insights from various fields. The book is divided into nine chapters, covering topics such as random events and their probabilities, random variables, random vectors, mathematical characteristics of random variables, the law of large numbers and the central limit theorem, sampling distributions, parameter estimation, hypothesis testing, regression analysis, and analysis of variance. Tailored to the comprehension level of vocational and technical college students, the book presents fundamental content in an accessible, concise, and thought-provoking manner, making it suitable for self-study. The book emphasizes the training of foundational knowledge and the development of comprehensive abilities. Each section includes a selection of exercises, and answers or solutions are provided at the end of the book for both teachers and students. To facilitate learning, this textbook is accompanied by a supplementary book, "A Companion to Introduction to Statistics." This edition was first published in January 2001 and is now in its second edition. The revision removes content that exceeds the scope or is particularly challenging, such as "The Total Probability Formula and Bayes' Theorem," "Covariance and Correlation Coefficient," and "Multiple Linear Regression." It adds practical content and examples, including "Moments," "Method of Moment Estimation," and "Variance Distribution in Single-Factor Experiments." Some sections have been adjusted, with key content rewritten, examples replaced, and improvements made to enhance clarity and ease of understanding. This book can serve as a textbook or teaching reference for students in higher vocational, technical, and private university programs studying "Probability and Statistics." It is also an excellent self-study resource for those interested in mathematics.