Skip to content
Q139Section III (Statistics)139 of 180

A consistent moment-based estimator for the Laplace scale

Suppose {X1,X2,…,Xn}\{X_1,X_2,\dots,X_n\} is a random sample from a Laplace distribution with p.d.f. f(x,θ)=12θexp⁡(−∣x∣/θ),x∈R,θ>0f(x,\theta)=\dfrac1{2\theta} \exp(-|x|/\theta), x\in\mathbb{R}, \theta>0. Which of the following estimators is consistent for θ\theta?

Options

Pick an option to check your answer.