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

VICTOR ELISEO LEIVA SANCHEZ, Antonio Sanhueza, Diana M. Kelmansky, Elena J. Martínez

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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.

Original languageEnglish
Pages (from-to)1613-1621
Number of pages9
JournalComputational Statistics and Data Analysis
Volume53
Issue number5
DOIs
StatePublished - 15 Mar 2009

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