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Supposing we are given the following statement: X1,....,Xn are independent RANDOM variables with UNIFORM [-theta, theta] density. Qa. Can you find a 2Dimensional sufficient statistic

Supposing we are given the following statement:

X1,....,Xn are independent RANDOM variables with UNIFORM [-theta, theta] density.

Qa. Can you find a 2Dimensional sufficient statistic for theta?

Qb. Find better sufficient statistic for theta and give brief explanation with regard to sufficiency, of why it is better.

Qc. Show and find a c0mplete and sufficient statistic for theta.

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