EXAMPLE: SupposeX∈andY0 are independent. ThenXandlogYare independent, as are expXand logY, andX2and 1/Y, andso on.32
3.Moments Involving Random Vectors∙Computing moments of random vectors, and functions of them, isvery important in economics and econometrics. LetXbe a randomvector of dimensionm, and letg:X→be a real-valued functiondefined on the range ofX,X⊂m. Then, of course,YgXis arandom variable. In principle, given the CDF or PDF ofXwe canderive the distribution ofY.33
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