John E Freund's Mathematical statistics with application / Irwin Miller, Marylees Miller

CONTENT

Introduction
1.1 Introduction
1.2 Combinatorial method
1.3 Binomial co efficient
1.4 The theory in practice

2: Probability
2.1 Introduction
2.2 Sample spaces
2.3 Events
etc

3. Probability distribution and probability densities
3.1 Random variables
3.2 Probability distribution
3.3 Continuous random variables
etc

4. Mathematical expectations
4.1 Introduction
4.2 The expected value of a random variable
4.3 Moments
etc

5 : Special probability distribution
5.1 Introduction
5.2 The discrete uniform distribution
5.3 The Bernoulli distribution
etc

6. Special probability densities
6.1 Introduction
6.2 The uniform distribution
6.3 The gamma, exponential and chi square distribution
etc

7. Functions of random variables
7.1 Introduction
7.2 Distribution function techniques
7.3 Transformation techniques : one variable
etc

8 :Sampling distribution
8.1 Introduction
8.2 The distribution of the mean
8.3 The distribution of the mean : finite population
etc

9 : Decision theory
9.1 Introduction
9.2 The theory of games
9.3 Statistical games
etc

10: Point estimation
10.1 Introduction
10. 2 Unbiased estimation
10.3 Efficiency
etc

11: Interval estimation
11.1 Introduction
11.2 The estimation of means
11.3 The estimation of difference between means
etc

12: Hypothesis testing
12.1 Introduction
12.2 Testing a statistical hypothesis
12.3 Losses and risks
etc

13: Tests of hypothesis involving means, variances, and properties
13.1 Introduction
13.2 Tests concerning means
13.3 Tests concerning differences between means
etc

14: Regression and correlation
14.1 Introduction
14.2 Linear regression
14.3 The method of least squares
etc

15: Design and analysis experiments
15.1 Introduction
15.2 One way designs
15.3 Randomised block design
etc

16: Non parametric tests
16.1 Introduction
16.2 The sign test
16.3 The signed rank test
etc

Index : p. 609-614