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The Multinomial Logistic Model for the Case in which the Response Variable Can Assume One of Three Levels and Related Models El modelo logístico multinomial para el caso en que la variable de respuesta puede asumir uno de tres niveles y modelos relacionados

Humberto Llinás Solano, Carlos Carreño

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Abstract

The aim of this work is to examine multinomial logistic models when the response variable can assume three levels, generalizing a previous work of logistic models with binary response variables. We also describe some related models: The null, complete, and saturated models. For each model, we present and prove some theorems concerning to the estimation of the corresponding parameters with details that we could not find in the current literature.

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The aim of this work is to examine multinomial logistic models when the response variable can assume three levels, generalizing a previous work of logistic models with binary response variables. We also describe some related models: The null, complete, and saturated models. For each model, we present and prove some theorems concerning to the estimation of the corresponding parameters with details that we could not find in the current literature.

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Available abstract

The aim of this work is to examine multinomial logistic models when the response variable can assume three levels, generalizing a previous work of logistic models with binary response variables. We also describe some related models: The null, complete, and saturated models. For each model, we present and prove some theorems concerning to the estimation of the corresponding parameters with details that we could not find in the current literature.

Key concepts: Multinomial distribution, Multinomial logistic regression, Variable (mathematics), Mathematics, Logistic regression, Econometrics, Statistics, Multinomial probit

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The Multinomial Logistic Model for the Case in which the Response Variable Can Assume One of Three Levels and Related Models El modelo logístico multinomial para el caso en que la variable de respuesta puede asumir uno de tres niveles y modelos relacionados — Research Paper | ScholarLens