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Original Articles

Inference in log-alpha-power and log-skew-normal multivariate models

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Pages 4397-4415 | Received 08 Nov 2012, Accepted 29 Apr 2014, Published online: 07 Jun 2016

References

  • Akaike, H. (1974). A new look at statistical model identification. IEEE Trans. Autom. Control 19:716–722.
  • Arnold, B., Castillo, E., Sarabia, J. (1999). Conditionally Specification of Statistical Models. New York: Springer-Verlag.
  • Arnold, B., Castillo, E., Sarabia, J. (2002). Conditionally specified multivariate skewed distributions. Sankhya: Indian J. Stat., Ser. A 64:206–226.
  • Arnold, B., Strauss, D. (1991). Bivariate distributions with conditionals in prescribed exponential families. J. R. Stat. Soc. 53:365–375.
  • Azzalini, A. (1985). A class of distributions which includes the normal ones. Scand. J. Stat. 12:171–178.
  • Besag, J. (1975). Statistical analysis of non-lattice data. Statistician 24:179–195.
  • Cheng, C., Riu, J. (2006). On estimating linear relationships when both variables are subject to heteroscedastic measurement errors. Technometrics 48:511–519.
  • Durrans, S. (1992). Distributions of fractional order statistics in hydrology. Water Resour. Res. 28:1649–1655.
  • Gupta, D., Gupta, R. (2008). Analyzing skewed data by power normal model. Test 17:197–210.
  • Joe, H. (1976). Multivariate Models and Dependence Concepts. New York: Chapman and Hall.
  • Kotz, S., Balakrishnan, N., Johnson, N. (2000). Continuous Multivariate Distributions. New York: John Wiley and Sons.
  • Lin, G., Stoyanov, J. (2009). The logarithmic skew-normal-distributions are moment-indeterminate. J. Appl. Probab. Trust 46:909–916.
  • Marchenko, Y., Genton, M. (2010). Multivariate log-skew-elliptical distributions with applications to precipitation data. Environmetrics 21:318–340.
  • Mardia, K., Kent, J., Bibby, J. (1979). Multivariate Analysis. San Diego: Academic Press.
  • Martínez-Flórez, G., Arnold, B., Gómez, H., Bolfarine, H. (2013a). The multivariate alpha-power model. J. Stat. Plann. Inference 143:1244–1255.
  • Martínez-Flórez, G., Bolfarine, H., Gómez, H. (2013b). Asymmetric regression models with limited responses with an application to antibody response to vaccine. Biometrical J. 55:156–172.
  • Mateu-Figueras, G., Pawlowsky-Glahn, V. (2007). The skew-normal distribution on the simplex. Commun. Stat.-Theory Methods 36:1787–1802.
  • Nelsen, R. (1999). An Introduction to Copulas. Lectures Notes in Statistics (Vol. 139). New York: Springer.
  • R Core Team. (2012). R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing. ISBN 3-900051-07-0.
  • Tibaldi, F., Molenberghs, G., Burzykowsky, T., Geys, H. (2004). Pseudo-likelohood estimation for a marginal multivariate survival model. Stat. Med. 23:947–963.

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