Economic Mathematics -- Probability Theory and Mathematical Statistics

Author: Wu Chuansheng
Publisher:
Publish Date: 2004-07-01
Features: This book is a national-level planning teaching material for the "Tenth Five-Year Plan" of general higher education. Based on the author's many years of teaching experience, it is compiled in accordance with the basic requirements of probability theory and mathematical statistics courses for economics, management, and engineering majors, as well as the latest examination syllabi for postgraduate entrance exams in mathematics I and mathematics III issued by the Ministry of Education. The main content of the book includes nine chapters: Probability of Random Events, Univariate Random Variables and Distributions, Multivariate Random Variables and Distributions, Digital Characteristics of Random Variables, Law of Large Numbers and Central Limit Theorem, Samples and Sampling Distributions, Parameter Estimation, Hypothesis Testing, and Linear Regression Analysis and Analysis of Variance. The preface briefly introduces the writing features and teaching content and requirements of each chapter; most sections are followed by exercises, and except for Chapter 5, each chapter also includes a comprehensive exercise. The book focuses on introducing the basic concepts, principles, and methods of probability theory and mathematical statistics, emphasizing intuition, accuracy, and readability while highlighting the fundamental ideas and application backgrounds of probability theory and mathematical statistics. The presentation starts with specific problems, progresses from simple to complex, from easy to difficult, from concrete to abstract, and breaks down difficulties to facilitate teaching organization. The exercises are well-structured and thought-provoking. The book is well-organized, logically clear, clearly written, and thoroughly explained with fluent text, abundant examples, and a large number of exercises. It is suitable for students of economics and management majors in higher education institutions and can also be used or referenced by students in science and engineering fields.