Let x be a single sample from the double exponential, Basic Statistics

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Let x be a single sample from the double exponential

Let X be a single sample from the double exponential distribution DE(µ, θ) with µ = 0 and θ > 0. Find the UMVUE's of the following parameters and, in each case, determine whether the variance of the UMVUE attains the Cram´er-Rao lower bound.

(a) ϑ = θ;

(b) ϑ = θ^r, where r > 1;

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Basic Statistics: Let x be a single sample from the double exponential

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Basic Statistics: Let x be a single sample from the double exponential

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