The Transmuted Weibull Regression Model: an Application to Type 2 Diabetes Mellitus Data

Daniele Cristina Tita Granzotto, Carlos Aparecido dos Santos, Francisco Louzada


In this paper, we are considering the transmuted Weibull distribution to investigate the role of oxidative stress markers as indicators of risk of injury of the lower extremities in patients with type 2 diabetes mellitus. A group of patients was studied until medical discharge assessing the following variables: glycated hemoglobin and three blood markers of oxidative status. In face of explicative covariates, we are considering the regression approach of the transmuted model to fit this real dataset. The inference was considere by using the method of maximum likelihood and the consistency of the estimators were verified by a Monte Carlo simulation study presented in this manuscript. Some properties as the moment generation function, median and the behaviors of the hazard and survival functions, are also included in this study.

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International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

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