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Trang chủ/ Probability and Statistics
NXB | Nhà Xuất Bản Bách Khoa Hà Nội | Người dịch: | |
Năm XB: | 2011 | Loại sách: | Sách giấy; Ebook; |
Khổ sách: | 16 x 24 | Số trang: | 244 |
Quốc gia: | Ngôn ngữ: | en | |
Mã ISBN: | Mã ISBN Điện tử: | 978-604-9998-37-9 |
This book provides essential knowledge in theory as well as in common practice and can be used as course in probability and statistics of junior, senior or graduate levels for students in careers in engineering and in all scientific disciplines.
The exposition in the book should be accessible to those students who have been equipped with differentials and integrals in Calculus 1 and Calculus 2.
PREFACE
CHAPTER 1. DESCRIPTIVE STATISTICS
1.1. STATISTICS AND ENGINEERING
1.2. POPULATION AND SAMPLE
1.3. PICTORIAL AND TABULAR METHODS
1.4. MEASURES OF LOCATION
1.5. MEASURES OF VARIABILITY
EXERCISES
CHAPTER 2. PROBABILITY
2.1. SAMPLE SPACE
2.2. RANDOM EVENTS
2.3. COUNTING OUTCOMES
2.4. PROBABILITY OF EVENTS
2.5. CONDITIONAL PROBABILITY
2.6. INDEPENDENCE
2.7. THE TOTAL PROBABILITY THEOREM
2.8. BAYES’ RULE
EXERCISES
CHAPTER 3. RANDOM VARIABLES AND PROBABILTY DISTRIBUTIONS
3.1. NOTIONS - RANDOM VARIABLES
3.2. CUMULATIVE DISTRIBUTION FUNCTION
3.3. EXPECTATION OR MEAN VALUE
3.4. VARIANCE AND STANDARD DEVIATION
EXERCISES
CHAPTER 4. RANDOM VECTORS
4.1. VECTOR OF DISCRETE RANDOM VARIABLES
4.2. VECTOR OF CONTINUOUS RANDOM VARIABLES
4.3. INDEPENDENCE OF RANDOM VARIABLES
4.4. COVARIANCE AND COVARIANCE MATRIX
4.5. CORRELATION COEFFICIENT AND CORRELATION MATRIX
4.6. CONDITIONAL DISTRIBUTION
EXERCISES
CHAPTER 5. SEVERAL DISCRETE DISTRIBUTIONS
5.1. UNIFORM DISTRIBUTION
5.2. HYPERGEOMETRIC DISTRIBUTION
5.3. BINOMIAL DISTRIBUTION
5.4. POISSON DISTRIBUTION
EXERCISES
CHAPTER 6. SEVERAL CONTINUOUS DISTRIBUTIONS
6.1. UNIFORM DISTRIBUTION
6.2. EXPONENTIAL DISTRIBUTION
6.3. GAMMA DISTRIBUTION
6.4. NORMAL DISTRIBUTION
6.5. CHI-SQUARED DISTRIBUTION
6.6. STUDENT DISTRIBUTION (t-distribution)
6.7. F - DISTRIBUTION
EXERCISES
CHAPTER 7. RANDOM SAMPLE
7.1. NOTION OF RANDOM SAMPLE AND STATISTIC
7.2. SAMPLE MEAN
7.3. SAMPLE VARIANCE
7.4. SAMPLE FROM NORMAL DISTRIBUTION
EXERCISES
CHAPTER 8. ESTIMATING - POINT ESTIMATION
8.1. ESTIMATION PROBLEM
8.2. ESTIMATING THE POPULATION MEAN
8.3. ESTIMATING THE POPULATION VARIANCE
8.4. ESTIMATING A PROPORTION OR PROBABILITY
EXERCISES
CHAPTER 9. CONFIDENCE INTERVALS
9.1. INTRODUCTION
9.2. CONFIDENCE INTERVAL FOR THE MEAN OF NORMAL DISTRIBUTION
9.3. CONFIDENCE INTERVAL FOR THE MEAN LARGE SAMPLE
9.4. CONFIDENCE INTERVAL FOR THE PROPORTION p
9.5. CONFIDENCE INTERVAL FOR THE VARIANCE OF NORMAL POPULATION
EXERCISES
CHAPTER 10. TESTING STATISTICAL HYPOTHESES
10.1. INTRODUCTION
10.2. TEST ABOUT NORMAL POPULATION MEAN WHEN THE VARIANCE IS KNOWN
10.3. TEST ABOUT MEAN OF NORMAL DISTRIBUTION WHEN σ2 IS UNKNOWN
10.4. TEST ABOUT MEAN OF ANY DISTRUTION LARGE SAMPLE
10.5. TEST ABOUT PROPORTION p IN A POPULATION
10.6. TEST ABOUT VARIANCE OF NORMAL DISTRIBUTION
10.7. TEST ABOUT THE DIFFERENCE BETWEEN TWO NORMAL POPULATION MEANS
10.8. TEST ABOUT TWO PROPORTIONS IN TWO POPULATIONS
10.9. TEST ABOUT TWO NORMAL VARIANCES
CHAPTER 11. REGRESSION ANALYSIS
11.1. SIMPLE LINEAR REGRESSION MODEL
11.2. REGRESSION WITH TRANSFORMED VARIABLES
11.3. MULTIPLE LINEAR REGRESSION ANALYSIS
EXERCISES
CHAPTER 12. QUALITY CONTROL METHODS PROBABILY TABLES
12.1. THE X–CHART TO CONTROL THE CENTER OF LOCATION
12.2. THE R-CHART TO CONTROL THE PROCESS VARIATION
12.3. CONTROL CHARTS FOR ATTRIBUTES
EXERCISES
PROBABILITY TABLES
REFERENCES
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