Kumaraswamy Normal and Azzalini's skew Normal modeling asymmetry

Autores/as

  • Michelle A Correa Graduada em Matemática, Universidade Federal de Alfenas
  • Denismar Alves Nogueira Professor Adjunto III - Instituto de Ciências Exatas Universidade Federal de Alfenas https://orcid.org/0000-0003-2285-8764
  • Eric Batista Ferreira Professor Adjunto III - Instituto de Ciências Exatas Universidade Federal de Alfenas https://orcid.org/0000-0003-3361-0908

Palabras clave:

Statistics, Probability Distributions, R software

Resumen

 

 

 

Biografía del autor/a

Michelle A Correa, Graduada em Matemática, Universidade Federal de Alfenas

 

 

Denismar Alves Nogueira, Professor Adjunto III - Instituto de Ciências Exatas Universidade Federal de Alfenas

 

 

Eric Batista Ferreira, Professor Adjunto III - Instituto de Ciências Exatas Universidade Federal de Alfenas

 

 

Citas

AZZALINI, A. A class of distributions which the normal ones. Journal Statistical,v.12, n.2, p.171-178, 1985. CASELLA, G.; BERGER, R. L. Inferência Estatística. São Paulo, 2010, 588p.

CONSTANTINO, R. F.; DESHARNAIS, R. A. Gamma distributions of adult numbers for tribolium populations in the region of their steady states. Journal of Animal Ecology, v.50, p.667-681, 1981.

CORDEIRO, G. M.; CASTRO, M. A new family of generalized distributions. Journal of Statistical Computation & Simulation, v.81, n.7, p.883-898, 2011.

D’AGOSTINO, R. B. Transformation to Normality of the Null. Biometrika, v.57, n.3, p.679-681, 1978.

EUGENE, N.; LEE, C.; FAMOYE, F. Beta-normal distribution and its applications. Communications in Statistics - Theory and Methods, Michigan, USA, v.31, p.497-512, 2002.

FERREIRA, D.F. Estatística Básica. Lavras: UFLA, 2009, 664p.

HOAGLIN, D. C.; PETERS, S. C. Software for Exploring Distributional Shapes. IN: Proceedings of... Computer Science and Statistics: 12th Annual Symposium on the Interface, Ontario, Canada: Iniverty of waterloo, p. 418-443, 1979.

HOAGLIN, D. C. Summarizing shape numerically: The g-and-h Distributions, in Exploring Data, tables, Trends and Shapes. New York: Wiley, p.461-513, 1983.

JONES, M. C. Families of distributions arising from distributions of order statistics. Test, vol 13, n.1, p.1-43, 2004. JONES, M. C. Kumaraswamy’s distribution: A beta-type distribution with some tractability advantages. Statistical Methodology, v.6 , p.70-81, 2008.

KUMARASWAMY, P. Generalized probability densy-function for double-bounded random-process. Journal of Hydrology, v.462, p.79-88, 1980.

OLIVEIRA, M. S. Comparações múltiplas Baysianas com erro normal assimétrico. 2009, 154f. Tese (Doutorado em Estatística e Experimentação Agropecuária), Departamento de Ciências Exatas, Universidade Federal de Lavras, Lavras, 2009.

R DEVELOPMENT CORE TEAM. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, 2011. ISBN 3-900051-07-0, URL http://www.R-project.org/.

SCHWARZ, G. Estimating the dimension of a model. In: STATISTICS, 6, n.2, 1978, Annals... Ann Arbor: Institute of Mathematical Statistics, 1978. pp.461-464.

STASINOPOULOS, D. M.; RIGBY, R. A. Generalized additive models for location scale and shape (GAMLSS) in R. Journal of Statistical Software, v.23, p.1-46, 2007.

TUKEY, J. W. Modern Techniques in Data Analysis. Proceeding of... NSF-Sponsored Regional Research Conference at Southeastern Massachusetts University, North Dartmouth, MA, 1977.

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Publicado

31-12-2012

Cómo citar

Correa, M. A., Nogueira, D. A., & Ferreira, E. B. (2012). Kumaraswamy Normal and Azzalini’s skew Normal modeling asymmetry. Sigmae, 1(1), 65–83. Recuperado a partir de https://publicacoes.unifal-mg.edu.br/revistas/index.php/sigmae/article/view/94