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Elements of Probability and Statistics(概率論與數(shù)理統(tǒng)計(jì)初步) Preface Since 2012, authors of this book have been engaged in teaching of probability and statistics for international exchange students. These students are from the countries along the Belt and Road of Europe, Africa and South Asia. They have very dierent learning bases which make it quite difficult to find a textbook that suits them. Therefore, we prepared a lecture of probability and statistics which is the prototype of this book. We adopted the mode of content + example + exercises in this textbook. This text was designed for a onesemester course that covers the basic topics needed for a fundamental understanding of probability and statistics. Students using this text should have the equivalent of the completion of one semester of calculus. Linear algebra would be helpful but not necessary. This textbook contains eight chapters. The first four chapters introduce the theory of probability. Sample space, event, the basic probability, discrete and continuous random variables are illustrated with examples. The binomial, Poisson, and other useful discrete distributions are discussed. In addition, continuous distributions include the normal and exponential. In all cases, reallife scenarios are given to reveal how these distributions are used in practical problems. Chapters 5 and Chapter 6 are about the descriptive statistics. Chapter 7 and Chapter 8 provide a foundation for the solution of practical problems in which estimation and hypothesis testing are employed. Some parts of the content consult the books listed in the Bibliography. We will give our thanks to these authors. We are indebted to those colleagues who provide many helpful suggestions for this textbook. This text is supported by The National Social Fund of China 17BTJ023. Editor April, 2019 Hangzhou Dianzi University
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