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/*
 * This file is part of the repicea-mathstats library.
 *
 * Copyright (C) 2021-24 His Majesty the King in Right of Canada
 * Author: Mathieu Fortin, Canadian Forest Service
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 3 of the License, or (at your option) any later version.
 *
 * This library is distributed with the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied
 * warranty of MERCHANTABILITY or FITNESS FOR A
 * PARTICULAR PURPOSE. See the GNU Lesser General Public
 * License for more details.
 *
 * Please see the license at http://www.gnu.org/copyleft/lesser.html.
 */
package repicea.stats.estimators.mcmc;

import repicea.math.Matrix;
import repicea.stats.distributions.GaussianDistribution;
import repicea.stats.estimators.AbstractEstimator.EstimatorCompatibleModel;

/**
 * Ensure the compatibility with the Metropolis-Hastings algorithm.
 * @author Mathieu Fortin - November 2021
 */
public interface MetropolisHastingsCompatibleModel extends EstimatorCompatibleModel {

	/**
	 * Return the log-likelihood of the parameters. 

* The model implementation is handled by the class implementing this interface. In the * context of mixed-effects model, the vector of parameters (the argument parms) must * also include the random effects. * * @param parms the model parameters (a Matrix instance) * @return the log-likelihood of the parameters. */ public double getLogLikelihood(Matrix parms); /** * Return the number of subjects.

* If the model is a mixed-effects model, the number of subjects must match the number of random effects. * Otherwise, it should be the number of observations. * * @return an integer */ public int getNbSubjects(); /** * Provide the likelihood of a particular subject.

* In the mixed model implementation, the subject is the highest hierarchical level (e.g. the plot). * @param parms the parameter estimates * @param subjectId an integer that stands for the id of the subject * @return the likelihood (a double) */ public double getLikelihoodOfThisSubject(Matrix parms, int subjectId); /** * Return the sampler.

* The sampler contains the starting values of the parameter estimates plus * their variances. The variances are often assumed to be the square of the product * of the parameter estimate by the coefVar argument. * @param coefVar a multiplicative factor for the variance. * @return a GaussianDistribution instance that will act as the sampler in the Metropolis-Hastings algorithm */ public GaussianDistribution getStartingParmEst(double coefVar); /** * Set the prior distributions of the different fixed and random parameters.

* If random effects appear in the model, their standard deviation should be modeled under the assumption * it is uniformly distributed (Gelman 2006). * These distributions are set using the {@link MetropolisHastingsPriorHandler#addFixedEffectDistribution(repicea.stats.distributions.ContinuousDistribution, int)} * and the {@link MetropolisHastingsPriorHandler#addRandomEffectStandardDeviation(GaussianDistribution, repicea.stats.distributions.ContinuousDistribution, int)} public methods. * @param handler a MetropolisHastingsPriorHandler instance * @see Gelman 2006 */ public void setPriorDistributions(MetropolisHastingsPriorHandler handler); }





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