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This course provides a broad treatment of statistics, concentrating on specific statistical techniques used in science and industry.
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English
English [CC]
FREE
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Description
The course topics include hypothesis testing and estimation. It also includes confidence intervals, chi-square tests, nonparametric statistics, analysis of variance, regression, and correlation.
Course content
- Introduction Unlimited
- Some Probability Distributions Unlimited
- Method of Moments Unlimited
- Maximum Likelihood Estimators Unlimited
- Consistency of MLE Unlimited
- Rao-Crámer Inequality Unlimited
- Efficient Estimators Unlimited
- Gamma Distribution Unlimited
- Prior and Posterior Distributions Unlimited
- Bayes Estimators Unlimited
- Sufficient Statistic Unlimited
- Jointly Sufficient Statistics Unlimited
- Minimal Jointly Sufficient Statistics Unlimited
- Estimates of Parameters of Normal Distribution Unlimited
- Orthogonal Transformation of Standard Normal Sample Unlimited
- Fisher and Student Distributions Unlimited
- Confidence Intervals for Parameters of Normal Distribution Unlimited
- Testing Hypotheses Unlimited
- Most Powerful Test for Two Simple Hypotheses Unlimited
- Randomized Most Powerful Test Unlimited
- Monotone Likelihood Ratio Unlimited
- One Sided Hypotheses (cont.) Unlimited
- Pearson’s Theorem Unlimited
- Goodness-of-Fit Test Unlimited
- Goodness-of-Fit Test for Composite Hypotheses Unlimited
- Test of Independence Unlimited
- Test of Homogeneity Unlimited
- Kolmogorov-Smirnov Test Unlimited
- Simple Linear Regression Unlimited
- Joint Distribution of the Estimates Unlimited
- Statistical Inference in Simple Linear Regression Unlimited
- Classification Problem Unlimited
Instructor
Massachusetts Institute of Technology
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