Artículo

Leiva, V.; Sanhueza, A.; Kelmansky, D.M.; Martínez, E.J. "On the glog-normal distribution and its application to the gene expression problem" (2009) Computational Statistics and Data Analysis. 53(5):1613-1621
Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

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. © 2008 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:On the glog-normal distribution and its application to the gene expression problem
Autor:Leiva, V.; Sanhueza, A.; Kelmansky, D.M.; Martínez, E.J.
Filiación: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
Palabras clave:Bioactivity; Distribution functions; Gene expression; Probability density function; Probability distributions; Cumulative distribution functions; Expression problems; Gene expression microarrays; Graphical analysis; Intensity datum; Likelihood methods; Numerical examples; Probability densities; Statistical distributions; Normal distribution
Año:2009
Volumen:53
Número:5
Página de inicio:1613
Página de fin:1621
DOI: http://dx.doi.org/10.1016/j.csda.2008.04.012
Título revista:Computational Statistics and Data Analysis
Título revista abreviado:Comput. Stat. Data Anal.
ISSN:01679473
CODEN:CSDAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01679473_v53_n5_p1613_Leiva

Referencias:

  • Azzalini, A., A class of distributions which includes the normal ones (1985) Scand. J. Statist., 12, pp. 171-178
  • Cook, R.D., Weisberg, S., (1982) Residuals and Influence in Regression, , Chapman and Hall, London
  • Cook, R.D., Assessment of local influence (with discussion) (1986) J. R. Stat. Soc. B, 48, pp. 133-169
  • Durbin, B.P., Hardin, J.S., Hawkins, D.M., Rocke, D.M., A variance-stabilizing transformation for gene-expression microarray data (2002) Bioinformatics, 18, pp. S105-S110
  • Fang, K.T., Kotz, S., Ng, K.W., (1990) Symmetric Multivariate and Related Distribution, , Chapman and Hall, London
  • Huang, S., Qu, Y., The loss in power when the test of differential expression is performed under a wrong scale (2006) J. Comput. Biol., 13, pp. 786-797
  • Huber, W., Heydebreck, A., Sültmann, H., Poustka, A., Vingron, M., Variance stabilization applied to microarray data calibration and to the quantification of differential expression (2002) Bioinformatics, 18 (sup. 1), pp. S96-S104
  • Huber, W., Heydebreck, A., Sültmann, H., Poustka, A., Vingron, M., Parameter estimation for the calibration and variance stabilization of microarray data (2003) Statistical Applications in Genetics and Molecular Biology, 2 1. , The Berkeley Electronic Press, Berkeley Article 3
  • Johnson, N.L., Systems of frequency curves generated by methods of translation (1949) Biometrika, 36, pp. 149-176
  • Patterson, T.A., Lobenhofer, E.K., Fulmer-Smentek, S.B., Collins, P.J., Chu, T.M., Bao, W., Fang, H., Wolfinger, R.D., Performance comparison of one-color and two-color platforms within the MicroArray Quality Control (MAQC) project (2006) Nature Biotechnology, 24, pp. 1140-1150
  • (2008) R: A Language and Environment for Statistical Computing, , http://www.R-project.org, R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0
  • Ritz, C., Edén, P., Accounting for one-channel depletion improves missing value imputation in 2-dye microarray data (2008) BMC Genomics, 9 (25). , 10.1186/1471-2164-9-25
  • Rocke, D.M., Durbin, B., A model for measurement error for gene expression arrays (2001) J. Comput. Biol., 8, pp. 557-569
  • (2003) Statistical Analysis of Gene Expression Data, , Speed T. (Ed), Chapman and Hall, New York
  • Verbeke, G., Molenberghs, G., (2000) Linear Mixed Models for Longitudinal Data, , Springer, New York

Citas:

---------- APA ----------
Leiva, V., Sanhueza, A., Kelmansky, D.M. & Martínez, E.J. (2009) . On the glog-normal distribution and its application to the gene expression problem. Computational Statistics and Data Analysis, 53(5), 1613-1621.
http://dx.doi.org/10.1016/j.csda.2008.04.012
---------- CHICAGO ----------
Leiva, V., Sanhueza, A., Kelmansky, D.M., Martínez, E.J. "On the glog-normal distribution and its application to the gene expression problem" . Computational Statistics and Data Analysis 53, no. 5 (2009) : 1613-1621.
http://dx.doi.org/10.1016/j.csda.2008.04.012
---------- MLA ----------
Leiva, V., Sanhueza, A., Kelmansky, D.M., Martínez, E.J. "On the glog-normal distribution and its application to the gene expression problem" . Computational Statistics and Data Analysis, vol. 53, no. 5, 2009, pp. 1613-1621.
http://dx.doi.org/10.1016/j.csda.2008.04.012
---------- VANCOUVER ----------
Leiva, V., Sanhueza, A., Kelmansky, D.M., Martínez, E.J. On the glog-normal distribution and its application to the gene expression problem. Comput. Stat. Data Anal. 2009;53(5):1613-1621.
http://dx.doi.org/10.1016/j.csda.2008.04.012