Probability Theory and Mathematical Statistics

Author: Liu Cihua
Publisher:
Publish Date: 2004-04-01
Features: This book is revised based on Probability Theory and Mathematical Statistics (compiled by the Department of Mathematics, Huazhong University of Science and Technology, 1999 edition), after extensively incorporating opinions from teachers both inside and outside the university. Although major content and structural framework remain largely unchanged in this revision, more emphasis is placed on connecting with the practical needs of science and engineering disciplines in the selection and presentation of materials. The language has been carefully refined from a teaching perspective, with some important concepts rephrased, and the problem sets adjusted. Overall, the new edition maintains the original book's concise and essential nature, rigorous logic, clear exposition, rich examples and exercises, strong practicality, and ease of self-study. The book features a rich selection of exercises, including fundamental problems, widely applicable comprehensive problems, and advanced problems, catering to the needs of teaching at two different levels. The book is divided into nine chapters, covering topics such as Random Events and Probability, Random Variables and Their Distributions, Multivariate Random Variables, Digital Characteristics of Random Variables, Law of Large Numbers and Central Limit Theorem, Sampling Distributions, Parameter Estimation, Hypothesis Testing, and Analysis of Variance and Regression Analysis. In addition to serving as a textbook for students in science and engineering disciplines, this book can also be used as a self-study guide and reference for postgraduate entrance examinations.