Statistics

Part 1. Probability
Chapter 1. Introduction and Summary
Chapter 2. Kinds of Probability
Chapter 3. Probability -Axiomatic

Part II Random Variables, Distributions Functions, and Expectation
Chapter 1. Introduction and Summary
Chapter 2. Random Variable and Cummulative Distribution Function
Chapter 3. Destiny Functions
Chapter 4. Expectations and Moments

Part III Special Parametric Families of Universities Distributions
Chapter 1. Introduction and Summary
Chapter 2. Discrete Distribution
Chapter 3. Continuous Distribution
Chapter 4. Comments

Part IV Joint and Conditional Distributions, Stochastic Independence, More Expectation
Chapter 1. Introduction and Summary
Chapter 2. Joint Distribution Functions
Chapter 3. Conditional Distribution and Stochastic Independence
Chapter 4. Expectation
Chapter 5. Bivariate Normal Distribution

Part V Distribution of Functions of Random Variables
Chapter 1. Introduction and Summary
Chapter 2. Expectations of Functions of Random Variables
Chapter 3. Cumulative-distributions of Functions of Random Variables
Chapter 4. Moment-generating-function Technique
Chapter 5. The Transformation Y=g (X)
Chapter 6. Transformation

Part VI. Sampling and Sampling Distributions
Chapter 1. Introduction and Summary
Chapter 2. Sampling
Chapter 3. Sample Mean
Chapter 4. Sampling from the Normal Distributions

Part VII Parametric Point Estimation
Chapter 1. Introduction and Summary
Chapter 2. Methods of Finding Estimates
Chapter 3. Properties of Point Estimation
Chapter 4. Sufficiency
Chapter 5. Unbiased Estimation
Chapter 6. Location or Scale Invariance
Chapter 7. Bayes Estimators
Chapter 8. Vector of Parameters
Chapter 9. Optimum Properties of Maximum-likelihood Estimation

VIII Parametric Interval Estimation
Chapter 1. Introduction and Summary
Chapter 2. Confidence Intervals
Chapter 3. Sampling from the Normal Distribution
Chapter 4. Methods of finding Confidence Intervals
Chapter 5. Large-Sample Confidence Interval
Chapter 6. Bayesian Interval Estimates

Part IX Test of Hypotheses
Chapter 1. Introduction and Summary
Chapter 2. Simple Hypothesis versus Simple Alternative
Chapter 3. Composite Hypotheses
Chapter 4. Tests of Hypotheses - Sampling from the Normal Distribution
Chapter 5. Chi-Square Test
Chapter 6. Tests of Hypotheses - Sampling from the Normal Distribution
Chapter 7. Sequential Test of Hypotheses

Part X Linear Models
Chapter 1. Introduction and Summary
Chapter 2. Examples of the Linear Model
Chapter 3. Definition of Linear Model
Chapter 4. Point Estimation - Case A
Chapter 5. Confidence Intervals - Case A
Chapter 6. Test of Hypotheses - Case A
Chapter 7. Point Estimation

Part XI Nonparametric Methods
Chapter 1. Introduction and Summary
Chapter 2. Inferences Concerning a Cumulative Distribution Function
Chapter 3. Inferences Concerning Qualities
Chapter 4. Tolerance limits
Chapter 5. Equality of Two Distribution