Seeking the answers to the exercises of probability theory and mathematical statistics edited by Xu Chengde

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Probability and mathematical statistics

Author:

ISBN: 10[756030530 x] 13[978756030530 1]

Publishing house:

Date of publication:

Pricing: ￥ 17.00 yuan

Dangdang: 13.90 yuan (2007-112) was purchased from Dangdang.

Dangdang: 9.80 yuan (2007-11-17) was purchased from Dangdang.

Joyo: 13.80 yuan (2007-114) go to Joyo and buy it for free!

China -pub: RMB 13.60 yuan. Go to China-pub to buy it.

Executive summary:

This book is written for the course of probability theory and mathematical statistics in higher engineering colleges. It contains all the contents of "Basic Requirements of Probability Theory and Mathematical Statistics Teaching" formulated by 1986 Engineering Mathematics Course Steering Committee. In order to meet the needs of more readers, we have added some contents appropriately, and added "*" in front of this part. This book is aimed not only at engineering majors, but also at some non-engineering majors. It can also be used as a self-study reference book for engineers and technicians.

The content of this book is divided into seven parts: the first part is the concept and operation of events and their probabilities (chapters 1 and 2); The second part is random variables and their distribution (Chapters 3 and 4). The third part is the numerical characteristics of random variables (Chapter 5). The fourth part is the limit theorem (Chapter 6); The fifth part is the basic concept of mathematical statistics (Chapter VII); The sixth part is the basic methods of estimation and test (Chapters 8 and 9). The seventh part is the preliminary statistical analysis of linear model (Chapter 10). There are exercises at the end of each chapter. The answers to the exercises are attached at the end of the book. To read this book, you only need to have a mathematical foundation of calculus in higher engineering colleges.

The manuscript of this book has been used as a teaching material in Harbin Institute of Technology (edited by King Cao and Xu Chengde) for many years, and the effect is good. On this basis, Chen Guilin, Wang Yong, Guan Zhong and others have seriously revised and supplemented the book according to their teaching practice in recent years. Because the editing level is limited-shortcomings and mistakes are inevitable, please criticize and correct me.

Directory:

Chapter 1 Random Events and Probability

1. 1 random event

Relationship and operation of 1.2 event

1.3 classical probability

1.4 geometric probability

1.5 statistical probability

Axiomatic definition of 1.6 probability

utilize

Chapter II Conditional Probability and Independence

2. 1 Conditional Probability and Multiplication Theorem

2.2 full probability formula

2.3 Bayesian formula

2.4 independence of events

2.5 Repeated independent test and binomial probability formula

2.6 Poisson approximation

utilize

Chapter III Random Variables and Their Distribution

3. The concept of1random variable

3.2 Discrete random variables

3.3 Distribution Function of Random Variables

3.4 Continuous random variables

3.5 Normal distribution

3.6 Distribution of random variable functions

Chapter IV Multidimensional Random Variables and Their Distribution

4. 1 multidimensional random variable, spring distribution function and edge distribution function

4.2 Two-dimensional separation of random variables

4.3 Two-dimensional continuous random variables

4.4 Conditional distribution

4.5 Independence of random variables

4.6 Distribution of two-dimensional random variable function

utilize

Chapter V Numerical Characteristics of Random Variables

5. 1 Mathematical expectation

5.2 differences

5.3 Covariance and correlation coefficient

5.4 Moment and covariance short array

utilize

Chapter VI Law of Large Numbers and Central Limit Theorem

6. 1 law of large numbers

6.2 Central Limit Theorem

utilize

Chapter VII Basic Concepts of Mathematical Statistics

7. 1 population and sample

7.2 Histogram and Empirical Distribution Function

7.3 x2, t and f distribution

……

Chapter VIII Parameter Estimation

Chapter 9 Hypothesis Test

Chapter 10 Analysis of variance and univariate normal linear regression of single factor test

Appendix 1 Proof of Theorem 7.3

Appendix 2 Proof of Theorem 7.4

The answer to an exercise

philology

Attached Table 1 Poisson Distribution Cumulative Probability Value Table

Schedule 2 Table of Function Values of Standard Normal Distribution

Schedule 3 x2 Distribution Table

Schedule 4 t allocation table

Schedule 5 F distribution table

Schedule 6 Rank Sum Test Table

Schedule 7 Test Table of Correlation Coefficient

Foreword:

Cultivating innovative talents with a solid foundation has always been an important goal of university education. With the advent of the era of knowledge economy, this goal has become more prominent. In engineering university education, mathematics is not only a basic theoretical course, but also plays a particularly important role in cultivating students' abstract thinking ability, logical reasoning ability, spatial imagination ability and scientific calculation ability. In order to meet the requirements of training engineering and technical personnel for mathematics in the 2 1 century, we have explored the reform of mathematics teaching for many years in accordance with the spirit of the former State Education Commission on the reform of series of courses, and achieved certain results. On this basis, we have compiled this set of teaching materials, including: mathematical analysis of engineering (Volume I), linear algebra and spatial analytic geometry, probability theory and mathematical statistics, calculation methods and mathematical experiments. This set of teaching materials is based on various mathematics courses in higher industrial schools promulgated by the former State Education Commission 1995.

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