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kategorie
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23 060
pojęcia
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Deviance Information Criterion (DIC)

Bayesian model selection metric that evaluates model fit while penalizing complexity, analogous to AIC in frequentist statistics.

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Watanabe-Akaike Information Criterion (WAIC)

Fully Bayesian model selection method estimating the expected divergence between the model and the true generating process.

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Bayes Score

Logarithm of the marginal probability of the data, used to rank models in Bayesian model selection.

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Latent Space Model

Class of Bayesian models where unobserved latent variables are inferred to explain the structure of observed data.

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Reversible-Jump MCMC Method

Advanced sampling algorithm that allows exploring models of different dimensions for Bayesian model selection.

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Zellner-Siow Prior

Default prior distribution for Bayesian linear regression, favoring parsimonious models in variable selection.

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Bayesian Model Averaging (BMA)

Technique combining predictions from multiple models weighted by their posterior probabilities to improve inferential robustness.

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Posterior Model Probability (PMP)

Probability that a given model is the true generative model of the data, after Bayesian updating with observations.

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Bayesian Cross-Validation (BCV)

Model validation method that evaluates its predictive ability by partitioning the data and comparing predictions to observations.

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Bayes Factor Test

Decision-making procedure based on the Bayes factor to accept or reject a null hypothesis in a Bayesian context.

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Bayesian Variable Selection

Application of Bayesian model selection to identify relevant predictors in regression models.

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g-prior

Family of prior distributions for Bayesian hypothesis testing, controlling the distance between the null and alternative hypotheses.

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Kass-Raftery Scale

Standardized interpretation of Bayes factors into categories (weak, moderate, strong, very strong) to assess the significance of evidence.

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Bayesian Non-Parametric Model

Bayesian approach where the number of parameters can grow with the data, using processes like Dirichlet or Gaussian.

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Variational Approximate Inference

Method for approximating the posterior distribution for model selection when exact calculations are intractable.

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