On the glog-normal distribution and its application to the gene expression problem

Authors:
Víctor Leiva;Antonio Sanhueza;Diana M. Kelmansky;Elena J. Martínez
Affiliations:
Departamento de Estadística, CIMFAV, Universidad de Valparaíso, Casilla de correos 5030, Valparaíso, Chile;Departamento de Matemática y Estadística, Universidad de La Frontera, Temuco, Chile;Instituto de Cálculo, FCEN, Universidad de Buenos Aires, Buenos Aires, Argentina;Instituto de Cálculo, FCEN, Universidad de Buenos Aires, Buenos Aires, Argentina
Venue:
Computational Statistics & Data Analysis
Year:
2009

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Abstract

In this article, we characterized the glog-normal distribution and present a comprehensive treatment of the properties of this model. Specifically, we present the probability density function as well as a graphical analysis of this density, the cumulative distribution function and the moments for this statistical distribution. Additionally, by using likelihood methods, we estimate the parameters, carry out asymptotic inference and discuss influence diagnostics of this model. Finally, we show the usefulness of the glog-normal distribution for modeling gene expression microarray intensity data by means of a real numerical example.