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Asymmetric type II compound Laplace distribution and its application to microarray gene expression

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  • Punathumparambath, Bindu
  • Kulathinal, Sangita
  • George, Sebastian
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    Abstract

    In the present paper, the asymmetric type II compound Laplace distribution is introduced and various properties are studied. The maximum likelihood estimation procedure is employed to estimate the parameters of the proposed distribution and an algorithm in R package is developed to carry out the estimation. Simulation studies for various choices of parameter values are performed to validate the algorithm. Finally, we fit the asymmetric type II compound Laplace, asymmetric Laplace, and log-normal distributions to five microarray gene expression datasets and compare them.

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    Bibliographic Info

    Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

    Volume (Year): 56 (2012)
    Issue (Month): 6 ()
    Pages: 1396-1404

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    Handle: RePEc:eee:csdana:v:56:y:2012:i:6:p:1396-1404

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    Web page: http://www.elsevier.com/locate/csda

    Related research

    Keywords: Asymmetric Laplace distribution; Asymmetric type II compound Laplace distribution; Microarray gene expression; Symmetric type II compound Laplace distribution;

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    1. Purdom Elizabeth & Holmes Susan P, 2005. "Error Distribution for Gene Expression Data," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 4(1), pages 1-35, July.
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