QuantLab
Interactive tools for hands-on probability, statistics, and financial modeling.
Fundamental Tools
A comprehensive guide to choosing the right statistical test.
A practical guide to deciding if your results are a real breakthrough or just random noise.
Interactive guide to mean, median, skewness, and kurtosis.
Discover how order emerges from chaos.
Understanding the range where a true value likely lies.
Calculate probabilities from Z-scores and vice-versa.
A framework for updating beliefs with new evidence.
Discrete Distributions
Modeling a single trial with two outcomes.
Modeling a series of success/fail trials.
Modeling the frequency of rare events.
Modeling trials until the first success.
Modeling sampling without replacement.
Modeling trials until a set number of successes.
Modeling where all outcomes are equally likely.
Generalizing the Binomial for multiple outcomes.
Continuous Distributions
The ubiquitous "bell curve."
Modeling waiting times and skewed data.
Modeling probabilities, percentages, and proportions.
Modeling the time between events in a Poisson process.
Modeling extreme events and 'fat-tailed' phenomena.
Modeling with a sharp peak and 'fat tails'.
Comparing variances between two or more samples.
The backbone of hypothesis testing with small sample sizes.
Modeling time-to-failure and event durations.
A key distribution in machine learning and growth modeling.
The distribution of the sum of squared standard normal deviates.
Statistics Tools
The detective work of data science.
Using random simulation to solve complex problems.
Breaking down a time series into its core components.
Measuring how a time series correlates with its past values.
Modeling the changing volatility of financial returns.
Finding the optimal portfolio for a given level of risk.
Dynamically estimating the state of a system from noisy data.
The calculus of random walks, essential for derivatives pricing.