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CVXPY documentation
A guide to parameterized convex programs, repeated canonicalization and differentiating solution maps.
Investigate On a smooth, uniquely solved parameterized quadratic problem, do solution sensitivities agree with an analytic derivative?
SciPy documentation
A reference for discrete Fourier, cosine, sine and Hankel transforms, including periodicity, normalization and computational caveats.
Investigate Can a transform pipeline recover known frequencies and amplitudes under declared sampling and normalization conventions?
SciPy documentation
A multiple-testing reference for adjusted p-values using Benjamini–Hochberg and Benjamini–Yekutieli procedures.
Investigate How do the two procedures differ on fixed p-value vectors and simulated dependent null tests?
statsmodels documentation
A reference for generalized estimating equations with clustered outcomes and explicit working-dependence structures.
Investigate How does a misspecified working correlation affect coefficient error and robust standard-error coverage?
statsmodels documentation
A generalized-linear-model reference connecting response families, link functions, variance functions and fitted results.
Investigate How does an intentionally misspecified response family alter uncertainty and predictive fit on evaluator-generated count data?
SciPy documentation
An official guide to quadrature from functions or samples, multiple integration and initial-value ODE solving.
Investigate How do selected quadrature rules behave on smooth, oscillatory and endpoint-singular functions with independently known integrals?
SciPy documentation
An interpolation guide organized by data geometry, smoothness and shape requirements, including structured and scattered data.
Investigate When monotone samples are supplied, which interpolants preserve monotonicity and what approximation error do they incur?
SciPy documentation
A reference for bounded nonlinear least squares, including Jacobians, robust losses, scaling and termination behavior.
Investigate How do robust-loss choice and variable scaling affect parameter recovery and residual error in a controlled contaminated-data fit?
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?
Stan User's Guide / Stan Development Team
A guide to explicit measurement-error models, rounding and combining uncertain estimates in meta-analysis.
Investigate How does ignoring known predictor measurement error change slope recovery in a small synthetic regression?
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?
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