An introduction to probability and statistical inference / / George G. Roussas.
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Place / Publishing House: | Amsterdam : : Elsevier,, [2015] 2015 |
Year of Publication: | 2015 |
Edition: | Second edition. |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (xiv, 606 pages) :; illustrations |
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Table of Contents:
- Some motivating examples and some fundamental concepts
- The concept of probability and some basic results
- Numerical characteristics of a random variable, some special random variables
- Joint and conditional P.D.F.'s, conditional expectation and variance, moment generating function, covariance and correlation coefficient
- Independence of random variables and some applications
- Transformation of random variables
- Some modes of convergence of random variables, applications
- An overview of statistical inference
- Point estimation
- Confidence intervals and confidence regions
- Testing hypotheses
- More about testing hypotheses
- A simple linear regression model
- Two analysis of variance models
- Some topics in nonparametric inference.