Correlation Interval Between Equally Efficient Estimators | UPSC ISS 2024 Paper-2 | Problem-31

Описание: This video explains how to find the correlation coefficient interval between two equally efficient unbiased estimators \(T_1\) and \(T_2\) of a parameter function \(g(\theta)\) when both have efficiency 0.8. We derive that the correlation coefficient \(\rho\) lies between 0.6 and 1 by analyzing variance relationships, best linear unbiased combinations, and efficiency conditions. This concept is crucial for understanding estimator relationships and linear combinations in statistical inference.

Perfect content for *UPSC Statistics Optional**, **Indian Statistical Service (ISS)* candidates, and anyone interested in statistical estimation theory.

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