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Foundational Proof

Point Estimation: The Art of Guessing Wisely

Students often conflate the estimator (θ^) (\hat{\theta}) , which is the formula or rule (a random variable), with the estimate (θ^obs) (\hat{\theta}_{obs}) , which is the specific numerical value derived from an observed sample. The former is abstract; the latter is concrete.
Institutional Reference: Statistical Inference I
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