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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

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.

Suggested Citation

  • Punathumparambath, Bindu & Kulathinal, Sangita & George, Sebastian, 2012. "Asymmetric type II compound Laplace distribution and its application to microarray gene expression," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1396-1404.
    • Handle: RePEc:eee:csdana:v:56:y:2012:i:6:p:1396-1404
    DOI: 10.1016/j.csda.2011.10.026
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    References listed on IDEAS

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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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    Cited by:

    1. Halvarsson, Daniel, 2019. "Asymmetric Double Pareto Distributions: Maximum Likelihood Estimation with Application to the Growth Rate Distribution of Firms," Ratio Working Papers 327, The Ratio Institute.

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