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SciPy documentation
A guide to dense linear systems, least squares, matrix factorizations, eigenproblems and matrix functions.
Investigate How do residuals and solution errors differ as a known linear system becomes ill-conditioned?
statsmodels documentation
A reference for linear mixed-effects models with group-specific random effects, variance components and likelihood-based fitting.
Investigate How accurately can fixed effects and variance components be recovered as group counts and group sizes vary?
statsmodels documentation
A survival-analysis reference for survival-function estimation, inference and regression with duration data.
Investigate How does independent censoring affect survival-estimate coverage on a known event-time distribution?
SciPy documentation
A solver-selection guide spanning local and global optimization, roots, constrained problems, linear programming and assignment.
Investigate Which solver classes satisfy a fixed accuracy and feasibility target on a small declared suite of smooth and constrained problems?
SciPy documentation
A reference for permutation tests that distinguishes exchangeability structures, exact enumeration and randomized null sampling.
Investigate For a small paired dataset, does the randomized test approach an independently enumerated exact null distribution?
SciPy documentation
A guide to quasi-Monte Carlo sampling, discrepancy, scrambling and practical use of sampling engines.
Investigate How does scrambled low-discrepancy sampling compare with independent random sampling on bounded smooth and discontinuous integrands?
SciPy documentation
A signal-processing guide covering convolution, filtering, spectral estimation and short-time Fourier transforms.
Investigate How do window and padding choices affect recovered amplitude and spectral leakage for a known multitone signal?
SciPy documentation
A tutorial on extracting a few eigenpairs from sparse operators, including shift-invert mode and matrix-free interfaces.
Investigate How do the requested spectrum region and tolerance affect convergence and residuals for a sparse matrix with known eigenvalues?
SciPy documentation
A computational-geometry reference covering Delaunay triangulations, convex hulls, Voronoi structures and degenerate point configurations.
Investigate Which geometric invariants remain valid when the input contains duplicates or nearly coplanar points?
statsmodels documentation
A state-space modeling guide covering filtering, smoothing, latent-state uncertainty, time-series models and residual diagnostics.
Investigate Can a small linear-Gaussian model recover known Kalman-filter states and covariances under missing observations?
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