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Bayesian Analysis of Google Trends via Monte Carlo Markov Chain

Final project of the course "Statisical Methods in Data Science II" of the Master Degree in Data Science at Sapienza University of Rome.

The project is a fully Bayesian analysis using MCMC of real time-series data obtained from Google Trends .

In the project the steps are considered:

  • illustration of the dataset
  • explanation of the overall features of the statistical model, such as the role of the parameters and the inferential goals of the analysis
  • illustration of the main inferential findings (Bayesian point and interval estimation, hypothesis testing)
  • discussion of one possible alternative statistical model and showcase of the results of model comparison through DIC
  • illustration of the features of the MCMC convergence diagnostics and error control

Link to the report: https://rawcdn.githack.com/bergio13/bayesian_inference_mcmc/d070625cea8e6650dee232aaf4cb2a3a1a9b701f/final_proj_2.html