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Statistics mcqs

Let X1,X2,…Xn Be A Random Sample From The Density F(X;(Θ), Where Θ May Be Vector. If The Conditional Distribution Of X1,X2,…Xn Given S=S Does Not Depend On Θ For Any Value Of S Of S, Then Statistic Is Called?

Let X1,X2,…Xn Be A Random Sample From The Density F(X;(Θ), Where Θ May Be Vector.

Efficient

Sufficient Statistic

Minimax Statistics

Minimal Sufficient Statistic

Let X1,X2,……,Xn Be A Random Sample From A Density,,,, F(X Ι Θ) Where Θ Is A Value Of The Random Variable Θwith Known Density Gθ(Θ) Then The Estimator ∏(Θ) With…/ Respect To The Prior Gθ(Θ) Is Define As---------E[∏(Θ)Ιx1,X2,…..,Xn] Is Called?

Let X1,X2,……,Xn Be A Random Sample From A Density,,,, F(X Ι Θ) Where Θ Is A Value Of The Random Variable Θwith Known Density Gθ(Θ) Then The Estimator ∏(

Posterior Bay’S Estimator

Sufficient Estimator

Bay’S Estimator

Minimax Estimator

Let X1,X2,……,Xn Be A Random Sample From A Density,,,, F(X Ι Θ) Where Θ Is A Value Of The Random Variable Θwith Known Density Gθ(Θ) Then The Estimator ∏(Θ) With…/ Respect To The Prior Gθ(Θ) Is Define As-------E[∏(Θ)Ιx1,X2,…..,Xn] Is Called?

Let X1,X2,……,Xn Be A Random Sample From A Density,,,, F(X Ι Θ) Where Θ Is A Value Of The Random Variable Θwith Known Density Gθ(Θ) Then The Estimator ∏(

Posterior Bay’S Estimator

Minimax Estimator

Sufficient Estimator

Bay’S Estimator

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