> ## Documentation Index
> Fetch the complete documentation index at: https://docs.fincept.in/llms.txt
> Use this file to discover all available pages before exploring further.

# Gaussian regime models

> Hidden Markov models with Gaussian, Gaussian-mixture or variational Gaussian emissions on returns or feature tables: regimes labelled by volatility or mean, transition matrix, per-regime means and volatilities, state path and probabilities, AIC/BIC, convergence, forecast and the fitted model.

Toolset `regime_gaussian`: 3 tools.

| Tool | What it does | Notes |
| - | - | - |
| `regime_gaussian_hmm` | Gaussian hidden Markov model (Baum-Welch) on a returns series or feature table, one or several sequences. | |
| `regime_gmm_hmm` | Hidden Markov model whose regimes each emit from a mixture of n\_mix Gaussians (fat-tailed, skewed or multi-modal returns within a regime). | |
| `regime_variational_gaussian_hmm` | Variational Bayesian Gaussian hidden Markov model: Dirichlet, Normal and Wishart priors, fitted by maximising the variational lower bound. | |

Inputs, limits and outputs are described in [Fincept Regimes](/guides/fincept-regimes). Full schemas: `fincept_describe_tool`.


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