medium · Quantitative Finance prob-stats
Consider the matrix A = beginpmatrix 2 & 2 2 & 2 endpmatrix.
Based on its leading principal minors, which classification is correct?
- The matrix is positive semi-definite but not positive definite.
- The matrix is indefinite, with mixed eigenvalue signs.
- The matrix is strictly positive definite, as both leading minors exceed zero.
- The matrix is negative definite, both eigenvalues negative.
Sign up free to see the explanation and track your rank →
More Quantitative Finance prob-stats practice
- What is the estimated OLS slope hatβ?
- Assuming 252 trading days in a year, what is the annualized historical volatility?
- If the correlation between two assets is ρ = 0.6, what is the R^2 of a linear regression o
- If the slope β is positive, what is the correlation coefficient ρ between x and y?
- What is the defining property of the 'Cumulative Distribution Function' F(x)?
- Which 'standardized moment' should they measure to quantify this?
- What is the probability the stock outperforms given the signal fired?
- Which statistical property describes a time series where the mean, variance, and autocorre