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Q33Section ST (Statistics (Q11–Q65))33 of 65

Cramer-Rao bound times 15

Let X1,…,X5X_1, \dots, X_5 be a random sample from N(θ,6)N(\theta, 6), where θ∈R\theta \in \mathbb{R}, and let c(θ)c(\theta) be the Cramer-Rao lower bound for the variances of unbiased estimators of θ\theta based on the above sample. Then 15inf⁡θ∈Rc(θ)15 \inf_{\theta \in \mathbb{R}} c(\theta) equals __________ (answer in integer).

Numerical answer: type the number (no options).

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