Q10Section I (Objective (Q1–Q80))10 of 79

Statistical Inference — CRLB for a log-scale parameter

Let $\{2.5,4.0,7.1,6.3,8.9,5.1\}$ be a random sample from the distribution with pdf $f(x,\theta)=\theta 2^\theta x^{-(\theta+1)}$ , $x>2$ , $\theta>2$ . The Cramer-Rao Lower Bound for the variance of an unbiased estimate of $\ln\theta$ is:

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