| Grant number: | 17/07773-6 |
| Support Opportunities: | Regular Research Grants |
| Start date: | June 01, 2017 |
| End date: | May 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Probability and Statistics - Statistics |
| Principal Investigator: | Vicente Garibay Cancho |
| Grantee: | Vicente Garibay Cancho |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| City of the host institution: | São Carlos |
Abstract
We introduce generalized links function for the modelling of binomial and binary responses which can be appropriate when the probability of a given binary response approaches 0 at a different rate than it approaches 1. It is to unbalancing data set. The proposal is based on exponentiated versions of distributions of base and their corresponding reverse distributions. As special case, known links are obtained. Properties of the proposed links are presented. Maximum Likelihood and Bayesian MCMC inference approaches are developed. Extensions of this models to ordinal regression models, mixed regression model and item response theory are considered too. Applications and simulation studies are also presented, showing the advantages of the proposal over commonly used models. (AU)
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