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To learn more about PyMC, please refer to the online user's guide.
PyMC is used for Bayesian modeling in a variety of fields. Here is a partial list of publications that cite PyMC in their work.
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DisasterModel: A changepoint example, with several variations.
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StraightLineFit: A two-parameter linear regression.
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VonMisesFit: Fitting the parameters of a Von Mises distribution
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CustomStep: An example of a custom step method.
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Manatee iPython Notebook demonstrating how to estimate the proportional causes of mortality for manatees.
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LatentOccupancy Simple occupancy model using latent states
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Recovery Waterfowl band recovery model
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Price Simple pricing model
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Pump Hierarchical Poisson failure rates
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Surplus Fisheries surplus production model
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Salamanders Salamander occupancy estimation model
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Probit Simple probit regression model
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ExponentialSurvival Exponential model for melanoma survival data
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Sir Hierarchical disease dynamics model (from Zipkin et al. 2010)
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Zero-inflated poisson model Zero-inflated Poisson example using simulated data.
For users familiar with BUGS, here are a few examples that are translated directly from BUGS models; the original code is included in each file as a docstring:
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Koala Koala sighting model (from Link & Barker 2009)
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Mt Conditional multinomial mark-recapture model (from Link & Barker 2009)
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Mt2 Unconditional multinomial mark-recapture model (apparently not possible in BUGS)
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BayesFactor Simple example of Bayes factor calculation
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Covariance: Creates a covariance function.
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Realizations: Draws several realizations.
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Observations: Observes a mean and covariance, then draws several realizations.
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BasisCov: Creates a covariance from a basis with normally-distributed coefficients.
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GPMCMC: Creates a PyMC model containing a Gaussian process, and fits it with MCMC.
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Non-parametric regression: iPython Notebook of NP regression using GP
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Examples of use of John Salvatier's
multichain_mcmc
package: https://github.com/jsalvatier/multichain_mcmc/tree/master/multichain_mcmc/examples -
Examples for John's
gradient_samplers
package: https://github.com/jsalvatier/gradient_samplers/tree/master/gradient_samplers/examples -
Abraham Flaxman's blog contains numerous PyMC examples, both for standard statistics and unusual applications, with code snippets: http://healthyalgorithms.wordpress.com/tag/pymc/
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Whit Armstrong's comparison of PyMC with other packages for Gelman et al.'s radon dataset: https://github.com/armstrtw/pymc_radon
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Estimation of Bayes Factors using PyMC: http://stronginference.com/weblog/2010/12/16/estimating-bayes-factors-using-pymc.html
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