Worked Examples

The repository contains focused runnable examples for each stochastic-process area and a dedicated public-API coverage gallery.

Example	Coverage
examples/01_discrete_markov_chain.py	Core MarkovChain construction and discrete-time operations
examples/02_poisson_process.py	Core PoissonProcess usage
examples/02_poisson_complete.py	Extended homogeneous and non-homogeneous Poisson operations
examples/03_continuous_markov_chain.py	Core ContinuousTimeMarkovChain usage
examples/03_cmtc_complete.py	Extended CTMC, jump-chain, holding-time, cost, and path operations
examples/04_birth_death_process.py	Birth-death construction and core formulas
examples/05_conditional_expectation.py	Core finite conditional-expectation usage
examples/05_conditional_expectation_complete.py	Extended probability-space, partition, random-variable, and conditional operations
examples/06_martingale.py	Core discrete-time martingale usage
examples/api_quickstart.py	Minimal public API entry point
examples/07_api_operations.py	Public classes and meaningful public operations across the full stochastic API

The examples are executable documentation. CI runs the Python scripts and builds the documentation so that runnable examples remain synchronized with the public API.