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Introduction to Statistical Method in Economics >> Content Detail



Study Materials



Readings

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This section includes assigned readings from the three main texts used in the course.



Required Text


Amazon logo [ROS]: Ross, Sheldon M. Probability and Statistics for Engineers and Scientists. 3rd ed. San Diego, CA: Academic Press, 2004. ISBN: 0125980574.



Recommended Texts


Amazon logo [LM]: Larsen, Richard J., and Morris L. Marx. An Introduction to Mathematical Statistics and its Applications. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2001. ISBN: 0139223037.

Amazon logo [DS]: DeGroot, Morris H., and Mark J. Schervish. Probability and Statistics. 3rd ed. Boston, MA: Addison-Wesley, 2002. ISBN: 0201524880.

Larsen and Marx's book is a bit more chatty than Ross', while DeGroot and Schervish's is a very good book but somewhat more difficult. You can find additional resources in the related resources section.



Assigned Readings


Readings are from Ross [ROS], Larsen and Marx [LM], and DeGroot and Schervish [DS]. Note that ROS does not cover all the topics but more closely follows the material taught in class.


WEEK #TOPICSROSLMDS
1Set and Probability TheoryChapter 3Chapters 1.1–1.3, 2.1–2.10Chapters 1, 2.1–2.3
2Random Variables, Probability Mass/Density Function, Cumulative Distribution Function (Univariate Model)Chapters 4.1–4.2, 5.1, pp. 160-1Chapter 3.1–3.4Chapter 3.1–3.3
3Multiple Random Variables, Bivariate Distribution, Marginal Distribution, Conditional Distribution, Independence, Multivariate Distribution (Multivariate Model)Chapter 4.3Chapter 3.5–3.6, 3.9Chapter 3.4–3.7
4Expectation (Moments)Chapter 4.4–4.9Chapter 3.10–3.13, 3.15–3.16Chapter 4.1–4.7
5Review for Exam 1
6Random Variable and Random Vector Transformations (Univariate and Multivariate Models)Chapter 3.7Chapter 3.8–3.9
7Special Distributions (Discrete and Continuous)Chapter 5.1–5.8Chapters 3.3, 4.1–4.3, 4.5–4.6Chapter 5.1–5.6, 5.9
8Review for Exam 2
9Random Sample, Law of Large Numbers, Central Limit TheoremChapters 6, 4.9, 1, 2Chapters 3.14, pp. 272-5, 5.1, 5.4Chapters 4.8, 5.7, 7.1, 7.7
10Point Estimators and Point Estimation MethodsChapter 7.7 and 7.1–7.2Chapter 5.2Chapter 6.5–6.6
11Interval Estimation and Confidence IntervalsChapters 7.3–7.6, 5.8.2–5.8.3Chapter 5.3Chapter 7.5
12Hypothesis TestingChapter 8Chapters 6, 9.1–9.2Chapter 8
13Review for Exam 3

Advanced topics, time permitting: Bayesian Analysis and Nonparamatric Methods.


 








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