Worked Examples

The examples are executable documentation. Each script is small enough to run independently and is designed to answer a concrete question.

Time Series — primary applied examples

Example	What it demonstrates
`examples/08_eviews_time_series_workflow.py`	Workfile creation, EViews-style expressions, equation estimation, ADF and model estimation
`examples/09_state_space_kalman.py`	Linear-Gaussian state-space filtering and missing-observation semantics
`examples/10_state_space_workflow.py`	End-to-end filtering, smoothing, innovation diagnostics, adequacy and forecasting

These examples correspond directly to the Time Series User Guide.

Stochastic Processes

Example	What it demonstrates
`examples/01_discrete_markov_chain.py`	Markov-chain construction, transition probabilities and stationarity
`examples/02_poisson_process.py`	Homogeneous Poisson-process construction
`examples/02_poisson_complete.py`	Extended Poisson and non-homogeneous operations
`examples/03_continuous_markov_chain.py`	Core CTMC workflow
`examples/03_cmtc_complete.py`	CTMC transitions, paths and holding/jump operations
`examples/04_birth_death_process.py`	Birth-death construction and formulas
`examples/05_conditional_expectation.py`	Finite conditional expectation
`examples/05_conditional_expectation_complete.py`	Extended probability-space operations
`examples/06_martingale.py`	Discrete-time martingale workflow
`examples/07_api_operations.py`	Cross-namespace public API operations
`examples/api_quickstart.py`	Minimal package entry point

How to use an example

Run a single example:

python examples/08_eviews_time_series_workflow.py

Or run the full example suite:

for example in examples/*.py; do
    echo "=== $example ==="
    python "$example"
done

The CI pipeline executes the same scripts. This keeps the documentation examples synchronized with the actual public API instead of allowing tutorial code to become stale.