Statistics
1 Basic distributions
1.1 Discrete random variables
1.2 Continuous random variables
1.2.1 Normal distribution
1.2.2 Log-normal distribution
1.2.3 Chi-square distribution
1.2.4 Student distribution
1.3 Distribution of the sum of independent normal random variables
1.4 Exercises
2 Basic notions of statistics
2.1 Definitions and examples
2.2 Exercises
3 Chebyshev's inequality and the law of large numbers
3.1 Chebyshev’s inequality
3.2 The law of large numbers
3.3 Exercises
4 Central limit theorem
4.1 Exercises
5 Parameter estimation
5.1 Point estimation
5.2 Constructions of estimators
5.2.1 Method of moments
5.2.2 Method of maximum likelihood
5.3 Exercises
5.4 Interval estimation
5.5 Exercises
6 Hypothesis testing
6.1 Testing mean
6.2 Exercises
6.3 Testing variance
6.4 Exercises
6.5 Testing two means
6.6 Testing two variances
6.7 Exercises
6.8 Testing non-parametric hypotheses
6.8.1 The chi-square test for consistency
6.8.2 The ? -Kolmogorov test for consistency
6.9 Testing independence
6.10 Exercises
95 psges, Paperback
