New regression models to data set with binary and/or bounded response

Abstract

The main objective of this project is to propose different regression models for binary and/orlimited responses in the unit interval studying aspects of inference and modeling when consideredreal data. Specifically, the project aims to develop new regression models to the case of discrete limited responses in the unit interval considering by example proposals of new links for binary regression models. Besides that, we studied the case of new regression models to continuouslimited response. Extensions this models to ordinal regression model, mixed regression modeland item response theory are also considered. . Simulation and application studies to real data complete the objectives of this project. The proposal is justified by the shortage of research that accommodates such kind of data, the practical implications of the results of such modeling, by the relevance of the working together with Prof. Dipak Dey and to reinforce the contact with the Department of Statistics at the University Of Connecticut. It is expected publish paper in relevant international journals, made presentations in scientific meetings in order to disseminate the results obtained as well as the institutions involved. Likewise, it is hoped the reinforce of the partnership between the two universities, with the aim of establishing new projects including the participation of graduate students.