Probability Theory and Mathematical Statistics

Author: Libona Li
Publisher:
Publish Date: 2006-06-01
Features: This book is a textbook for the undergraduate mathematics foundation course "Probability Theory and Mathematical Statistics" in economics and management. Its difficulty level is positioned between the depth and breadth of current popular textbooks, offering readers an additional choice. The textbook follows a traditional theoretical framework, as it has been refined through historical scrutiny. The book is divided into ten chapters, covering topics such as: random events and probability, one-dimensional random variables and their distributions, multi-dimensional random variables and their distributions, digital characteristics, the law of large numbers and the central limit theorem, sampling distributions, parameter estimation, hypothesis testing, analysis of variance, and regression analysis. Additionally, the book introduces basic methods for data collection and analysis, as well as simple methods for statistical analysis using computer programs. The writing of this textbook strives to explain the essential meanings of concepts and theorems, convey the essence of probability, and ensure clear, logical, and progressive explanations of knowledge points, making it easy to teach and learn. The solutions to the exercises at the end of the book provide detailed hints for solving problems rather than full solutions, aiming to better facilitate reader learning. This book can also serve as a textbook or teaching reference for undergraduate students in non-mathematics majors at higher education institutions for the course "Probability Theory and Mathematical Statistics." The book is divided into 10 chapters, covering topics such as: random events and probability, multi-dimensional random variables and their distributions, digital characteristics, the law of large numbers and the central limit theorem, sampling distributions, parameter estimation, hypothesis testing, analysis of variance, and regression analysis.