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Microarray data come from many steps of production and have been known tocontain noise. The pre-processing is implemented to reduce the noise, where thebackground is corrected. Prior to further analysis, many Illumina BeadArraysusers had applied the convolution model, a model which had been adapted fromwhen it was first developed on the Affymetrix platform, to adjust the intensityvalue: corrected background intensity value.  Several models based on different underlying distributions and or parametersestimation methods have been proposed and applied. For instance : theexponential-gamma, the normal-gamma and the exponential-normal convolutionswith a maximum likelihood estimation, non-parametric, Bayesian and momentmethods of the parameters estimation, including two recentexponential-lognormal and gamma-lognormal convolutions.  In this paper, we propose models and derive the corrected backgroundintensity based on the generalized betas and the generalized beta-normalconvolutions as a generalization of the existing models.

Generalized beta convolution model of the true intensity for the Illumina BeadArrays