On the hierarchical bernoulli mixture model using bayesian hamiltonian monte carlo

Wahyuni Suryaningtyas, Nur Iriawan*, Heri Kuswanto, Ismaini Zain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The model developed considers the uniqueness of a data-driven binary response (indicated by 0 and 1) identified as having a Bernoulli distribution with finite mixture components. In social science applications, Bernoulli’s constructs a hierarchical structure data. This study introduces the Hierarchical Bernoulli mixture model (Hibermimo), a new analytical model that combines the Bernoulli mixture with hierarchical structure data. The proposed approach uses a Hamiltonian Monte Carlo algorithm with a No-U-Turn Sampler (HMC/NUTS). The study has performed a compatible syntax program computation utilizing the HMC/NUTS to analyze the Bayesian Bernoulli mixture aggregate regression model (BBMARM) and Hibermimo. In the model estimation, Hibermimo yielded a result of ~90% compliance with the modeling of each district and a small Widely Applicable Information Criteria (WAIC) value.

Original languageEnglish
Article number2404
JournalSymmetry
Volume13
Issue number12
DOIs
Publication statusPublished - Dec 2021

Keywords

  • Bernoulli mixture model
  • Finite mixture
  • Hamiltonian Monte Carlo
  • WAIC

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