Banca de QUALIFICAÇÃO: LUANA MAYARA LUCAS LEITE

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : LUANA MAYARA LUCAS LEITE
DATE: 09/12/2024
TIME: 14:00
LOCAL: Ambiente virtual
TITLE:

Bayesian Inference for Binomial Models with Conjugate Priors Based on Generalizations of the Beta Distribution

KEY WORDS:

Bayesian; Beta Distribution; Binomial Model; Posterior; Prior.

PAGES: 58
BIG AREA: Ciências Exatas e da Terra
AREA: Probabilidade e Estatística
SUMMARY:

This dissertation aims to propose alternative conjugate prior distributions for the binomial model, based on generalizations of the beta distribution. In this context, the developed methodology seeks to estimate the proportion parameter π of the binomial distribution using the Bayesian approach, employing generalizations of the beta distribution as priors, so that the posterior distribution also belongs to the same class as the prior. Additionally, the properties of these distributions will be studied in detail, with simulations generated from random numbers to assess their advantages over the beta distribution. In terms of fit, the goal is to achieve better results than those obtained by the beta distribution in comparative analyses.

COMMITTEE MEMBERS:
Interno - 3010614 - ELIARDO GUIMARAES DA COSTA
Interno - 1781198 - FIDEL ERNESTO CASTRO MORALES
Presidente - 1023112 - MARCELO BOURGUIGNON PEREIRA