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The Cramer-Rao Inequality
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We prove the Cramer-Rao Bound which asserts for a sample of n points drawn from a distribution f(x; \theta). Then for any unbiased estimator of \theta, Y, the variance of Y is at least (1/n) times the Fisher information of the original distribution. This gives us a way of measuring the efficiency of an estimator.
#mikethemathematician, #mikedabkowski, #profdabkowski
#mikethemathematician, #mikedabkowski, #profdabkowski
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