problem_set1_2020 (1).pdf - Problem Set 1 Econ 120C Prof...

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Problem Set 1, Econ 120C Prof. Yixiao Sun Please follow the guidance below to submit all assignments: (i) Please submit your answers, which can be either typed or handwritten on Canvas. (ii) Handwritten answers have to be scanned and saved in pdf (You can use your phone to take a picture and convert the picture into pdf. There are free app°s that can scan a document into pdf directly) (iii) Please submit only one pdf ±le for each assignment. If you have multiple ±les, please combine them into one before submission. (iv) For the questions that need STATA, please include your log and ±gures, if any. Please do not upload your log and ±gure ±les directly. Instead, convert them into pdf and include them in the pdf ±le you plan to submit. (v) Again, please submit only one pdf ±le for each assignment. Please do not use any other ±le format. Please do not submit more than one ±le. Part A. Multiple Choice 1. Let Y 1 ; :::; Y n be iid with mean ° Y : Consistency for the sample average ° Y can be de±ned as follows, with the exception of (a) ° Y is consistent for ° Y . (b) ° Y has the smallest variance of all estimators. (c) ° Y p ! ° Y : (d) the probability of ° Y being in the range ° Y ° c becomes arbitrarily close to one as n increases for any constant c > 0 .

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