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Week
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Subject
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Material
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Probability and Statistics, DeGroot and Schervish
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Στατιστική και Πιθανότητες, Walpole, Myers, Myers, Ye
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Other
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Week 1
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25/09
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Course Introduction, Probability Axioms
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1
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2.1-2.5
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27/09
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Conditional Probability
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2.1-24
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2.6-2.7
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Week 2
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02/10
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Missed class
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-
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-
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04/10
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Random Variables
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3.1-3.3
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3.1-3.3
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Week 3
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09/10
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Joint Distributions
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3.4-3.6
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3.4
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11/10
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Expectation and Variance
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4.1-4.3
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4.1-4.3
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Week 4
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16/10
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Moments, Conditional Expectation
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4.4-4.7
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7.3
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[1]
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18/10
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Special Distributions
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5.2, 5.4-5.7
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5.2, 5.4-5.6
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Week 5
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23/10
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Convergence of Random Variables, WLLN
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6.1, 6.2
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[2] 1.10
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25/10
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CLT
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6.3
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8.4
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[2] 1.10
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Week 6
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30/10
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Bayesian Inference
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7.1-7.3
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9.1,9.2,18.1,18.2
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01/11
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Bayes Estimators, MLE estimation
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7-4, 7.5
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18.3, 9.14
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Week 7
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06/11
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Properties of MLE estimators
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7.6, 8.7
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[2] 3.3
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08/11
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No new material
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-
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-
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Week 9
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20/11
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Sufficient Statistics, Sampling Distributions
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7.7, 7.8, 8.1
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[2] 6.1-6.3
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22/11
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Chi-square Distributions
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8.2, 8.3
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8
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[2] 1.6-1.8
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Week 10
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27/11
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T-distributions, Confidence Intervals
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8.4, 8.5
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9.1-9.7
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[2] 1.6, 1.8
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29/11
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Confidence Intervals
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8.5
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[2] 9.1-9.6
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Week 11
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4/12
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No class
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6/12
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Fisher Information
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8.7, 8.8
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[2] Κεφ.5
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Week 12
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11/12
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Hypothesis Tests
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9.1
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Κεφ.9
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13/12
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Hypothesis Tests
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9.1
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Κεφ.9
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Week 13
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18/12
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Likelihood Ratio Tests
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9.1
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20/12
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t-Tests
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9.5, 9.6.9.7
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Κεφ.9
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[1] http://www.math.ntua.gr/~fouskakis/Mathematical_Stats/Slides/1.pdf
[2] Θέματα παραμετρικής στατιστικής συμπερασματολογίας, Σταύρος Κουρουκλής, Κωδικός Εύδοξου: 59303581, https://repository.kallipos.gr/handle/11419/5687
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