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Censored Bimodal Symmetric-Asymmetric Alpha-Power Model

  • HUGO S. SALINAS [1] ; GUILLERMO MARTÍNEZ-FLÓREZ [2] ; GERMÁN MORENO-ARENAS [3]
    1. [1] Universidad de Atacama

      Universidad de Atacama

      Copiapo, Chile

    2. [2] Universidad de Córdoba

      Universidad de Córdoba

      Cordoba, España

    3. [3] Universidad Industrial de Santander

      Universidad Industrial de Santander

      Colombia

  • Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 36, Nº. 2, 2013, págs. 285-301
  • Idioma: inglés
  • Títulos paralelos:
    • Modelo bimodal censurado simétrico-asimétrico alpha-potencia
  • Enlaces
  • Resumen
    • español

      Se introducen los modelos potencia alfa simétricos asimétricos bimodales censurados con el fin de ajustar datos censurados con bimodalidad y altos niveles de sesgo y curtosis. Los momentos correspondientes son calculados, se considera la estimación máximo verosímil para los parámetros del modelo y se deriva la matriz de información observada. Se muestra la utilidad de los modelos propuestos a través de dos aplicaciones con datos censurados reales relacionados con la medición de HIV-1 RNA.

    • English

      We introduce the censored bimodal symmetric-asymmetric alpha-power models to adjust censored data with bimodality and high levels of skewness and kurtosis. The moments corresponding are computed, the maximum likelihood estimation for the model parameters is considered and the observed information matrix is derived. We show the appropriateness of the proposed models through two applications with censored real data related to HIV-1 RNA measurement.

  • Referencias bibliográficas
    • Akaike, H. A.. (1974). 'A new look at statistical model identification'. IEEE Transaction on Automatic Control. 19. 716-723
    • Arellano-Valle, R.,Castro, L.,González-Farías, G.,Muñoz-Gajardo, K.. (2012). 'Student-t censored regression model: Properties and inference'....
    • Arnold, B. C.,Gómez, H. W.,Salinas, H. S.. (2009). 'On multiple constraint skewed models'. Statistics. 43. 279-293
    • Azzalini, A.. (1985). 'A class of distributions which includes the normal ones'. Scandinavian Journal of Statistics. 12. 171-178
    • Bolfarine, H.,Gómez, H. W.,Rivas, L. I.. (2011). 'The log-bimodal-skew-normal model. A geochemical application'. Journal of Chemometrics....
    • Bolfarine, H.,Martínez-Flórez, G.,Salinas, H. S.. (2012). 'Bimodal symmetric-asymmetric power-normal families'. Communications in...
    • Chu, H.,Moulton, L. H.,Mack, W. J.,Passaro, D. J.,Barroso, P. F.,Muñoz, A.. (2005). 'Correlating two continuous variables subject to detection...
    • Durrans, S. R.. (1992). 'Distributions of fractional order statistics in hydrology'. Water Resources Research. 28. 1649-1655
    • Elal-Olivero, D.,Gómez, H. W.,Quintana, F. A.. (2009). 'Bayesian modeling using a class of bimodal skew-elliptical distributions'....
    • Eugene, N.,Lee, C.,Famoye, F.. (2002). 'Beta-normal distribution and its applications'. Communications in Statistics-Theory and Methods....
    • Fernández, C.,Steel, M. F. J.. (1998). 'On Bayesian modeling of fat tails and skewness'. Journal of the American Statistical Association....
    • Gómez, H. W.,Elal-Olivero, D.,Salinas, H. S.,Bolfarine, H.. (2009). 'Bimodal extension based on the skew-normal distribution with application...
    • Gómez, H. W.,Venegas, O.,Bolfarine, H.. (2007). 'Skew-symmetric distributions generated by the distribution function of the normal distribution'....
    • Henze, N.. (1986). 'A probabilistic representation of the skew-normal distribution'. Scandinavian Journal of Statistics. 13. 271-275
    • Jones, M. C.. (2004). 'Families of distributions arising from distributions of order statistics'. TEST. 13. 1-43
    • Kim, H. J.. (2005). 'On a class of two-piece skew-normal distribution'. Statistic. 39. 537-553
    • Li, X.,Chu, H.,Gallant, J. E.,Hoover, D. R.,Mack, W. J.,Chmiel, J. S.,Muñoz, A.. (2006). 'Bimodal virological response to antiretroviral...
    • Martínez-Flórez, G.,Bolfarine, H.,Gómez, H. W.. (2013). 'The alpha-power tobit model'. Communications in Statistics-Theory and Methods....
    • Mudholkar, G. S.,Hutson, A. D.. (2000). 'The epsilon-skew-normal distribution for analyzing near-normal data'. Journal of Statistical...
    • Pewsey, A.. (2000). 'Problems of inference for Azzalini's skew normal distribution'. Journal of Applied Statistics. 27. 859-870
    • Schneider, M.,Margolick, J.,Jacobson, L.,Reddy, S.,Martinez-Maza, O.,Muñoz, A.. (2012). 'Improved estimation of the distribution of suppressed...
    • Schwarz, G.. (1978). 'Estimating the dimension of a model'. Annals of Statistics. 6. 461-464
    • Teck-Onn, L.,Bakri, R.,Morad, Z.,Hamid, M. A.. (2002). 'Bimodality in blood glucose distribution'. Diabetes Care. 25. 2212-2217
    • Tobin, J.. (1958). 'Estimation of relationships for limited dependent variables'. Econometrica (The Econometric Society). 26. 24-36
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