Probability Theory and Mathematical Statistics

Author: Gong Guanglu
Publisher:
Publish Date: 2006-05-01
Features: This textbook is designed for undergraduate students in engineering, economics, and management disciplines. Prerequisites are only calculus and linear algebra. With a concise presentation, the book elaborates on the thinking methods, fundamental content, concepts, and techniques of probability and statistics. The writing aims to align with international standards. The content includes: classical models and probability spaces; random variables and the generation of random numbers; an introduction to limit theorems; data and statistics, with a focus on descriptive statistics; point estimation and interval estimation; hypothesis testing, emphasizing the use of p-values as evidence to reject the null hypothesis, and introducing statistical calculations using Microsoft Excel; statistical relationships between variables and regression models; an introduction to analysis of variance; nonparametric methods and the introduction of Spearman rank correlation coefficients between data, normalized correlation coefficients; and an introduction to bootstrapping and jackknife methods, among others.