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update documentation
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Red-Portal authored Dec 3, 2023
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Expand Up @@ -9,8 +9,8 @@ Documentation for [MCMCTesting](https://github.com/Red-Portal/MCMCTesting.jl).
`MCMCTesting` provides the MCMC testing algorithms developed by Gandy & Scott (2021)[^GS2021].
These tests can be seen as an improvement of the hypothesis testing approach proposed by Geweke [^G2004].
Unlike simulation-based calibration (SBC; [^TBSVG2018][^YD2023][^MMKBPBHFGV2022]), these tests are more appropriate for testing the exactness of the MCMC algorithm rather than the identifiability of the models.
This is because the tests focus on maximizing the power for verify the validity of *individual Markov transitions* instead of a *set of samples*.
Furthermore, unlike SBC, the approach of Gandy & Scott[^GS2021] is able to exactly satisfy the assumptions required for the theoretical guarantees.
This is because the tests focus on maximizing the power of verifying the validity of *individual Markov transitions* instead of a *set of samples*.
Furthermore, unlike SBC, the approach of Gandy & Scott[^GS2021] can exactly satisfy the assumptions required for the theoretical guarantees.


## References
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