Probability Analysis via Simulations of Dice Rolls, Coin Tosses, and Conditional Events

Examples of Copy Elision Under the Hood and Best Practices

Evaluating the relationship between stream time and success on Twitch using Kaggle’s top 1000 streamer dataset.

Statistical inference applied to news literacy in young adults and refraction-based material identification.

Modeling insurance claims with Pareto MLE and determining rejection thresholds for physiological data.

Method of Moments for Gamma rainfall modeling and Maximum Likelihood estimation under Beta(θ,1) sampling.

Focal length simulation under measurement error and deriving a one-parameter estimator for a biased die.

Reducing variance in Monte Carlo and simulating gravitational inference on Titan using pendulum measurements.

Verifying a PDF, deriving tail & variance constraints, building the probability transform, and simulating α=1, β=4 samples.

Gumbel CDF analysis, probability calculations, density sketching, and Monte Carlo checks for an exponential model.