The Censored Bimodal Skew-Normal-Flexible Model with an Application to Plasma HIV-1 RNA

Authors

Germa ́n Moreno-Arenas, Escuela de Matema ́ticas, Universidad Industrial de Santander, Bucaramanga, ColombiaFollow
Guillermo Mart ́ınez-Flo ́rez, Departamento de Matema ́ticas y Estad ́ıstica, Facultad de Ciencias, Universidad de Co ́rdoba, Monter ́ıa, Colombia\\Programa de Po ́s-Graduac ̧a ̃o em Modelagem e Me ́todos Quantitativos, Universidade Federal do Ceara ́, Fortaleza, CE, BrazilFollow
Artur J. Lemonte, Departamento de Estat ́ıstica, CCET, Universidade Federal do Rio Grande do Norte, Natal, RN, BrazilFollow

Author Country (or Countries)

Brazil

Abstract

We introduce the censored bimodal skew-normal-flexible distribution which can be very useful in dealing with censored data together with bimodality and high (or low) levels of skewness and kurtosis. A simple expression for its moments is derived. The frequentist approach is considered to draw inference, and the traditional maximum likelihood method is employed to estimate the unknown parameters. We also derive the observed information matrix. An application of the new model to the plasma HIV-1 RNA measurement is presented for illustrative purposes.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140304

Recommended Citation

́n Moreno-Arenas, Germa; Mart ́ınez-Flo ́rez, Guillermo; and J. Lemonte, Artur (2020) "The Censored Bimodal Skew-Normal-Flexible Model with an Application to Plasma HIV-1 RNA," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/amis/140304
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/4