Let 2.5,-2.0,1.5,3.5,0.5 be the observations of a random sample of size 5 from the continuous distributions with pdf f(x)=1/8e^-x-2+3/4sqrt2pie^-1/2(x-theta)^2; x,thetainR and theta is unknown. Then the method of moment estimators of theta belongs to the interval:

Q2Section I (Objective (Q1–Q80))2 of 79

Statistical Inference — method of moments for a mixture

Let $2.5,-2.0,1.5,3.5,0.5$ be the observations of a random sample of size 5 from the continuous distributions with pdf $f(x)=\frac{1}{8}e^{-|x-2|}+\frac{3}{4\sqrt{2\pi}}e^{-\frac{1}{2}(x-\theta)^2}$ ; $x,\theta\in\mathbb{R}$ and $\theta$ is unknown. Then the method of moment estimators of $\theta$ belongs to the interval:

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

Keyboard: A–D answer · S solution · ←/→ previous/next