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Dougherty: Introduction to Econometrics 3e
Review
- Probability distribution example: X is the sum of two dice
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- Expected value of a random variable
- (PPT 90 kB)
- Expected value of a function of a random variable
- (PPT 94 kB)
- Population variance of a discrete random variable
- (PPT 91 kB)
- Expected value rules
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- Independence of two random variables
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- Alternative expression for population variance
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- The fixed and random components of a random variable
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- Continuous random variables
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- Covariance, covariance and variance rules, and correlation.
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- Sampling and estimators
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- Unbiasedness and efficiency
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- Conflicts between unbiasedness and minimum variance
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- Estimators of variance, covariance, and correlation
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- Asymptotic properties of estimators: plim and consistency
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- Asymptotic properties of estimators: simulations and the CLT
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- Exercise R.2: probability distribution of X, the larger of the values of two dice
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- Exercise R.4: expected value of X
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- Exercise R.7: expected value of X2
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- Exercises R.10 and R.12: population variance of X
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- Exercise R.13: correlation coefficient
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- Exercise R.19: meaning of the term 'efficiency'
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- Exercise R.22: estimator that is inconsistent despite being unbiased
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