(KH) Exercises and Solutions in Probability and Statistics 1386

Author: Hu Xinqi, Xu Hongyi
Publisher:
Publish Date: 2004-03-01
Features: This textbook is designed according to the basic requirements of the course and is written for a broad student audience. It is synchronized with the main textbook, aiming to help students fully understand, master, and excel in this subject. It is hoped that this book will help readers deepen their understanding of the fundamental concepts of probability theory and mathematical statistics, thereby mastering problem-solving methods and techniques. The goal is to review and reinforce teaching content while cultivating the ability to analyze and solve problems. This book is based on the teaching syllabus of the probability and statistics course and summarizes the authors' many years of teaching experience. The book consists of 8 chapters, covering topics such as random events and probability, random variables and probability distributions, multivariate random variables and their probability distributions, the digital characteristics of random variables, the law of large numbers and the central limit theorem, samples and sampling distributions, parameter estimation, and hypothesis testing. Each chapter is structured as follows:
Basic knowledge points: A detailed summary of the key points of each chapter, emphasizing the connection between chapters.
Example analysis: A large number of examples related to the key points are provided, with diverse types and difficulty levels ranging from basic to advanced. This includes simpler fundamental problems as well as more challenging postgraduate entrance examination simulation questions. In particular, a significant number of postgraduate entrance examination questions are selected for detailed analysis. Typical examples are explained from different perspectives and using multiple methods, focusing on the understanding of basic concepts, training in various types of fundamental problems, and the development of comprehensive problem-solving skills. This book can serve as a supplementary textbook or reference for undergraduate students in engineering and science majors at universities, as well as for postgraduate entrance examination candidates.