https://github.com/petrushev/bayesian-modeling

Case studies with Bayesian methods
https://github.com/petrushev/bayesian-modeling

bayesian-data-analysis bayesian-inference bayesian-methods hierarchical-models jupyter-notebook mcmc multilevel-models pymc3 python statistical-models

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Case studies with Bayesian methods

• Host: GitHub
• URL: https://github.com/petrushev/bayesian-modeling
• Owner: petrushev
• License: gpl-3.0
• Created: 2019-06-23T14:18:40.000Z (over 5 years ago)
• Default Branch: master
• Last Pushed: 2023-07-04T10:26:53.000Z (over 1 year ago)
• Last Synced: 2023-07-04T11:29:35.993Z (over 1 year ago)
• Topics: bayesian-data-analysis, bayesian-inference, bayesian-methods, hierarchical-models, jupyter-notebook, mcmc, multilevel-models, pymc3, python, statistical-models
• Language: Jupyter Notebook
• Homepage:
• Size: 16.6 MB
• Stars: 9
• Watchers: 1
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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# bayesian-modeling

Case studies with Bayesian methods

## Hierarchical model for spelling performance

A [hierarchical model](01%20spelling/spelling.ipynb) for the `spelling` data from the study `D. Thissen, Steinberg, and Wainer` (1993)

![average actor rates](01%20spelling/average_actor.svg)

## Multinomial logistic model for three-class classifition

A [multinomial logistic model](02%20iris/classification.ipynb) for the `iris` dataset (Fisher, 1936)

![sepal evaluation](02%20iris/sepal-evaluation.svg)

## Fourier analysis for time series

A [Fourier analysis model](03%20keeling/periodic.ipynb) for the Mauna Loa CO2 data (the `Keeling curve`)

![keeling curve](03%20keeling/monthly_var.svg)

## Time series modeling with heteroskedastic data

A [hierarchical time series model](04%20air-politution/air-polution.ipynb) with log-normal likelihood for air polution data in Skopje.

![log-normal time-series](04%20air-politution/pm10.svg)

## Inference with weights on observed data

A [simple example using Potential](05%20weighted%20observations/potential-example.ipynb) for inference with data with weights

![large poisson dataset](05%20weighted%20observations/poisson_large.png)

## Monotone dependency modeling

A [simple example using Dirichlet prior](06%20monotone/monotone-dirichlet.ipynb) for modeling of monotone dependency

![monotone dependency](06%20monotone/monotone.svg)

## Slow evolving multiplicative factor - Covid-19 Rt model

A [model for estimation of the Rt reproductive factor for Covid-19](07%20covid19/simple-MK.ipynb), modeled with Random walks in the log scale.

![covid 19 Rt factor](07%20covid19/mk_daily_R_en.png)