[Solution] An economist has data on the employment status of n individuals. In particular, she has n observations X 1 , X 2 , ... , X n , where X i = 1
Question: An economist has data on the employment status of n individuals. In particular, she has n observations X 1 , X 2 , ... , X n , where X i = 1 if the individual is unemployed and X i = 0 if the individual is employed. The economist would like to estimate the probability \(\pi \) that an individual is unemployed.
- Suggest an estimator for \(\pi \). Briefly indicate why yours is a reasonable estimator of \(\pi \).
- Find the bias, variance, and mean squared error of your estimator.
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