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LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF:
1. IfFis theUniform(-theta,0) distribution, find the Maximum likelihood explanation oftheta.
Show work for credit.
2. IfFis theUniform(?theta,theta) distribution, find the Maximum likelihood estimation oftheta.
Show work for credit.
Solution
Suppose there is a samplex1,x2, ...,xnofnindependent and identically distributedobservations,
coming from a distribution with an unknownprobability density functionf0(

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LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf

  • 1. LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF: 1. IfFis theUniform(-theta,0) distribution, find the Maximum likelihood explanation oftheta. Show work for credit. 2. IfFis theUniform(?theta,theta) distribution, find the Maximum likelihood estimation oftheta. Show work for credit. Solution Suppose there is a samplex1,x2, ...,xnofnindependent and identically distributedobservations, coming from a distribution with an unknownprobability density functionf0(