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by: April Jerde

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# Economic Statistics and Econometrics I ECON 709

Marketplace > University of Wisconsin - Madison > Economcs > ECON 709 > Economic Statistics and Econometrics I
April Jerde
UW
GPA 3.6

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Economcs

This 1 page Class Notes was uploaded by April Jerde on Thursday September 17, 2015. The Class Notes belongs to ECON 709 at University of Wisconsin - Madison taught by Staff in Fall. Since its upload, it has received 87 views. For similar materials see /class/205165/econ-709-university-of-wisconsin-madison in Economcs at University of Wisconsin - Madison.

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Date Created: 09/17/15
Econ 709 Discussion 3 Naoya Sueishi September 267 2008 Result 01 The expected value ofa random variable gX is 7 ff 9fxmdm ifX is continuous EgX 7 EweY ifX is discrete7 provided EgX lt 00 Properties of expectation Suppose that EX lt 00 and EY lt oo 1 EaX b aEX b 2 EX Y EX 3 lew Z O for all w E Q then EX Z 0 4 IfXw 2 mi for all w e Q then EX 2 EY Proof We only consider the continuous case 1 EaX b am bfXmdm af x bffooo aEX b 00 2 EXY 100 7Wmyfxyxydmdy 11fXY7dmdy11nyYw7medy 132 j mmwy dz y nymydz dy 0 zfxltmgtdm m ymwdy 7 M Em 3 EX ff fooo Z 0 4 By assumption7 Xw 7 Yw 2 0 for all w E 9 Thus by 37 EX7 Y 2 0 Then by 1 and 27 EX 7 Y EX 7 EY 2 07 and hence EX 2 Email sueishi wiscedu URL httpsmywebspacewiscedusueishiWebteachinghtml

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