Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 32 No. 1 (2014): Revista Integración, temas de matemáticas
Research and Innovation Articles

Uni-bimodal Symmetric-Asymmetric Model with Application to the Study of HIV-1 RNA

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  • Guillermo Martínez Flórez,
  • Germán Moreno Arenas
Guillermo Martínez Flórez
Universidad de Córdoba
Germán Moreno Arenas
Universidad Industrial de Santander

Published 2014-05-22

Keywords

  • Bimodality,
  • skewness,
  • kurtosis,
  • proportional hazard function,
  • censorship,
  • limit of detection,
  • HIV-1 RNA,
  • HAART.
    • ...More
    Less

How to Cite

Martínez Flórez, G., & Moreno Arenas, G. (2014). Uni-bimodal Symmetric-Asymmetric Model with Application to the Study of HIV-1 RNA. Revista Integración, Temas De matemáticas, 32(1), 1–18. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4059

Abstract

We define two new probability distributions, unibimodal symmetric model with proportional hazard function to the normal distribution and unibimodal asymmetric model with proportional hazard function to the skew normal distribution. These models allow adjust censored data with bimodal behavior and high (or low) levels of kurtosis compared with kurtosis of the normal distribution and high (or low) levels of asymmetry. The model parameters are estimated by maximum likelihood and the observed information matrix is determined. The flexibility of the new distribution is illustrated by adjusting a set of real data, the number of molecules of HIV-1 RNA per milliliter of blood measured in individuals with confirmed test of the presence of HIV.

To cite this article: G. Martínez-Flórez, G. Moreno-Arenas, Modelo unibimodal simétrico-asimétrico con aplicación al estudio del RNA VIH-1, Rev. Integr. Temas Mat. 32 (2014), no. 1, 1–18.

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