TL;DR
An interval \( [\hat{\theta} - z_{\alpha/2}\cdot SE, \hat{\theta} + z_{\alpha/2}\cdot SE] \) that, over repeated sampling, contains the true parameter with probability \( 1-\alpha \). It quantifies estimation uncertainty.
Confidence Interval
An interval \( [\hat{\theta} - z_{\alpha/2}\cdot SE, \hat{\theta} + z_{\alpha/2}\cdot SE] \) that, over repeated sampling, contains the true parameter with probability \( 1-\alpha \). It quantifies estimation uncertainty.
Why it matters for interviews
Confidence intervals for Sharpe ratios, betas, and strategy returns quantify how uncertain parameter estimates are. Wide intervals signal insufficient data -- a common issue in strategy development.
Definition and Mathematical Foundation
An interval \( [\hat{\theta} - z_{\alpha/2}\cdot SE, \hat{\theta} + z_{\alpha/2}\cdot SE] \) that, over repeated sampling, contains the true parameter with probability \( 1-\alpha \). It quantifies estimation uncertainty.
Application in Quantitative Finance
Confidence intervals for Sharpe ratios, betas, and strategy returns quantify how uncertain parameter estimates are. Wide intervals signal insufficient data -- a common issue in strategy development.
Related Terms
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