Interactive Bivariate Gaussian
Adjust \(\sigma_X\), \(\sigma_Y\), and \(\rho\) to see how the density changes. Means are fixed at \(\mu_X = \mu_Y = 0\).
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\(\sigma_X\): 1.00
\(\sigma_Y\): 1.00
\(\rho\): 0.00
Gaussian Conditional Distribution
Gaussian Marginal Distribution
ML Estimate of the Mean
ML Estimate of the Covariance
Gaussian Mixture Model
Gaussian Mixture — Interactive Visualization
A mixture of \(K = 3\) bivariate Gaussians. Adjust the mixing coefficients \(\pi_k\) below. Component means are marked with ×.
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\(\pi_1\): 0.50
\(\pi_2\): 0.30
\(\pi_3\): 0.20
Determined by the constraint \(\pi_1 + \pi_2 + \pi_3 = 1\)