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Suppose with distribution Uniform is unknown, and consider s an estimate of A (see Section 2.8.4…

Suppose Suppose with distribution Uniform is unknown, and consider s an estimate of A (see Section 2.8.4... with distribution Uniform Suppose with distribution Uniform is unknown, and consider s an estimate of A (see Section 2.8.4... is unknown, and consider Suppose with distribution Uniform is unknown, and consider s an estimate of A (see Section 2.8.4... s an estimate of A (see Section 2.8.4 on order statistics).

Prove that

(b) Use Chebyshev’s inequality to show that Zn converges in probability to θ

(c) Show that E (2Mn )= A and compare Mn and Zn with respect to their efficiencies as estimators of θWhich would you use to estimate A and why?