Some Visualizations

A collection of frontend interactive data.

• Probability

  Random Variables

  Interactive reference for discrete and continuous distributions with adjustable parameters.

• Probability

  Normal Distribution & Variance

  Interactive visualization of normal distribution curves and how variance controls spread.

• Probability

  Beta Posterior

  Bayesian inference on a coin's bias using the beta distribution, visualized across 150 sequential flips.

• Probability

  Poisson Process

  Arrivals over continuous time with adjustable rate λ, showing interarrival times and cumulative count.

• Probability

  Central Limit Theorem

  Watch sums of random variables converge to a normal distribution as sample size grows.

• Probability

  Law of Large Numbers

  Sample mean convergence with Markov, Chebyshev, and Chernoff bounds compared.

• Probability

  Convolution

  Animated flip-and-slide showing how the sum of two independent random variables produces a new distribution.

• Probability

  Random Incidence

  Why randomly sampling a process biases you toward longer intervals. Drop a pin and see the paradox.

• Probability

  De Moivre-Laplace

  The normal approximation to a binomial. Watch the PMF converge to a bell curve as n grows.

• Probability

  Covariance

  How covariance and correlation describe the tendency of two variables to move together.

• Probability

  Bivariate Normals

  3D surface and contour views of joint normal distributions with conditional slicing.

• Probability

  Confidence Intervals

  Run 100 experiments to see how confidence intervals capture the true parameter.

• Probability

  Markov Chains

  Interactive state diagram with animated random walks. Watch steady-state probabilities emerge.

• Optimization

  Gradient Descent

  Navigate loss landscapes with adjustable learning rate and watch convergence or divergence in real time.