distributioninteract

Distributioninteract is a software toolkit designed to facilitate interactive exploration of probability distributions within statistical analysis and teaching workflows. It provides a set of components that let users adjust distribution parameters, visualize resulting changes, and inspect derived quantities such as moments, quantiles, and tail behavior.

It supports a broad range of distribution families, including common continuous distributions (normal, uniform, exponential, gamma, beta) and discrete ones (binomial, Poisson, geometric). Users can generate samples, compare empirical distributions to theoretical models, and overlay multiple distributions in the same visualization. Visualizations typically include PDFs/PMFs, CDFs, survival functions, and hazard rates, along with interactive sliders or form controls to modify parameters in real time. The toolkit can export plots and tabular summaries and can compute statistics like mean, variance, skewness, kurtosis, and percentiles. It also supports fitting or overlaying estimated distributions from data.

Distributioninteract is designed for use in notebooks, dashboards, and standalone web apps. It exposes a language-agnostic API and client libraries that enable integration with data pipelines and teaching materials.

Internally, it comprises a distribution engine that encapsulates families and parameterizations and a front-end layer for interactivity. It emphasizes reproducibility by capturing parameter states and enabling session export.

Because it is a general tool, performance depends on the number of distributions, the complexity of the parameter space, and the efficiency of the underlying numeric libraries. It may require substantial client-side computation for rich interactivity.