Families/gamma family#121
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MyznikovFD
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- Implement Gamma distribution family with (k, theta) base parametrization - Add three parametrizations: shapeScale (base), shapeRate, meanVar - Implement all distribution characteristics: PDF, CDF, PPF, CF, LPDF - Implement base_score (gradient of lpdf) and gradient_transform for non-base parametrizations - Support: ContinuousSupport(left=0.0) - Register in FamilyName enum and wire into configuration
- Add tests covering all distribution characteristics - Test all three parametrizations and conversions between them - Test score (gradient) for all parametrizations against analytical formula - Test numerical gradient verification and edge cases - Compare characteristics against scipy.stats.gamma
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Implement Gamma distribution with shapeScale, shapeRate, meanVar parametrizations
Add analytical implementations for PDF, CDF, PPF, characteristic function, log-PDF
Implement moment calculations (mean, variance)
Configure family registry, parametrization system, and continuous support (left=0.0)
Add tests covering all distribution characteristics
Test all three parametrizations and conversions between them
Verify against scipy.stats.gamma for correctness
Resolves #41