ECON 4400 Lecture 6: Lecture 6 Sampling Dist

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17 Sep 2020

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Ith I

Fis aRV

ThesamplingDisbution

It has akey role in econometrics

we need to know what is asamplingdistribution of our

estimator bc we want to performhypothesis test

buildconfidenceintervals

There're two typesofcharacterizing the sample dist

1exact dist

2asymptotic dist

the law of large numbers

thecentral limit theorem

Thelawoflargenumberg

Thesamplemean Ith Xi will be near true mean

with very highprobability as no

oIl Xl

ooo

ThecentrallimitTheovern

TheSampleaverage IIn zwill have anom diSt

with mean uvariance of

of 0Popvar howtheheckshouldwe calculate

sample to hTthe true variance

variance INnx0

more data is always better

Ismet

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