Probability Theory and Mathematical Statistics (Xie Guorui)

Author: Xie Guorui; Wang Guoqiang
Publisher:
Publish Date: 2004-05-01
Features: This book is a national-level planning textbook for general higher education under the "15th Five-Year Plan," developed in accordance with the "Basic Requirements for Teaching Probability Theory and Mathematical Statistics in Higher Vocational and Technical Education" issued by the Ministry of Education. It also strives to reflect the research achievements of the "Research and Practice on Reform, Construction, and Implementation of the Teaching Content System for Mathematics Courses in New Century Higher Vocational and Technical Education" project. This book is suitable for probability theory and mathematical statistics courses in various disciplines of higher vocational and technical education. The probability theory section includes fundamental concepts, basic theorems, discrete random variables and mathematical expectation, continuous random variables, multivariate random variables, and an introduction to limit theorems. The mathematical statistics section covers basic concepts, statistical inference, and an introduction to analysis of variance and regression analysis. The book effectively demonstrates the applied characteristics of higher vocational and technical education, introducing many distinctive applied examples in the foundational theories of probability theory, which facilitates readers in "learning by doing" and lays a solid foundation for "doing while learning." The book provides detailed explanations of basic concepts, making it easy to understand and learn, and can also be used or referenced by certain undergraduate students from non-mathematics majors.