# 4480-5480 Lecture Notes

This course introduces the topics of probability distributions and mathematical statistics. Course objectives and student learning outcomes can be found atMATH 4480 Syllabus

MATH 5480 Syllabus

Lecture note | Contents | Quiz/Test Solutions |

note01.pdf
(Rev. 02/06/18) slides01.pdf (slides version) chisquare.pdf ttable.pdf Optional problems |
1. MGF techniques 2. Chi-square, t, and F distributions 3. Sampling distributions 4. Order statistics 5. Solutions to exercises |
Quiz No.1
Test 1 |

note02.pdf
(Rev. 02/22/18) slides02.pdf (slides version) normal.pdf Optional problems |
6. Law of large numbers 7. Central limit theorem |
Quiz No.2 |

note03.pdf
(Rev. 04/13/18) slides03.pdf (slides version) |
8. Point estimates and their confidence intervals 9. Tests of statistical hypotheses 10. Power of test 11. Comparison of two populations 12. Inference on proportions 13. Chi-square test |
Quiz No.3
Quiz No.4 |

note04.pdf
(Rev. 04/13/18) slides04.pdf (slides version) |
14. Maximum likelihood estimate 15. Properties of MLE |
Quiz No.5
Test 2 |

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