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Lectures on Statistics

Author: Robert B. Ash
Url: http://www.math.uiuc.edu/~r-ash/Stat.html
Format: Pdf
Category: Statistics
Clicks: 3589

Contents: 1. Transformation of Random Variables 2. Jacobians 3. Moment-generating functions 4. Sampling from a normal population 5. The T and F distributions 6. Order statistics 7. The weak law of large numbers 8. The central limit theorem 9. Estimation 10. Confidence intervals 11. More confidence intervals 12. Hypothesis testing 13. Chi square tests 14. Sufficient statistics 15. Rao-Blackwell theorem 16. Lehmann-Scheff ́e theorem 17. Complete sufficient statistics for the exponential class 18. Bayes estimates 19. Linear algebra review 20. Correlation 21. The multivariate normal distribution 22. The bivariate normal distribution 23. Cram ́er-Rao inequality 24. Nonparametric statistics 25. The Wilcoxon test.

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