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