Probability and Statistics - (Second Edition)

Author: Gao Lidan
Publisher:
Publish Date: 2004-06-01
Features: This book has been listed by the Beijing Municipal Education Commission as a "High Education Excellent Textbook Project," serving as a foundational course textbook for economics, management, and engineering disciplines in higher vocational and higher technical education. The book is compiled in accordance with the "Basic Requirements for Mathematics Curriculum Teaching" formulated by the Ministry of Education for higher vocational education, and it incorporates the author's extensive teaching experience in probability and statistics courses for vocational students and insights from various educational 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 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 Probability and Statistics. The first edition of this book was published in January 2001, and it is now in its second edition. This revision removes topics that exceed the scope or are 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 Moments 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 reference for students in higher vocational, higher technical, and private university programs studying probability and statistics. It is also an excellent self-study resource for those interested in mathematics.