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Communications in Statistics - Theory and Methods Volume 36, 2007 - Issue 9
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DISTRIBUTION THEORY

The Extended Skew-Exponential Power Distribution and Its Derivation

Hugo S. Salinas Departamento de Matemática, Universidad de Atacama, Copiapó, Chile
,
Reinaldo B. Arellano-Valle Departamento de Estadística, Pontificia Universidad Católica de Chile, Santiago, ChileCorrespondence[email protected]
&
Héctor W. Gómez Departamento de Matemática, Universidad de Atacama, Copiapó, Chile
Pages 1673-1689 | Received 22 Jul 2005, Accepted 28 Aug 2006, Published online: 30 Jun 2007

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Read on this site (6)

A. Bekker, J. T. Ferreira, M. Arashi & B. W. Rowland. (2020) Computational methods applied to a skewed generalized normal family. Communications in Statistics - Simulation and Computation 49:11, pages 2930-2943.
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Alan D. Hutson. (2019) An alternative skew exponential power distribution formulation. Communications in Statistics - Theory and Methods 48:12, pages 3005-3024.
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Hugo S. Salinas, Héctor W. Gómez, Guillermo Martínez-Flórez & Heleno Bolfarine. (2018) Skew-normal alpha-power model [Statistics 48(2014) 1414–1428]. Statistics 52:4, pages 950-953.
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Osvaldo Venegas, Hugo S. Salinas, Diego I. Gallardo, Heleno Bolfarine & Héctor W. Gómez. (2018) Bimodality based on the generalized skew-normal distribution. Journal of Statistical Computation and Simulation 88:1, pages 156-181.
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HéctorW. Gómez, LuisM. Castro, HugoS. Salinas & Heleno Bolfarine. (2010) Properties and Inference on the Skew-Curved-Symmetric Family of Distributions. Communications in Statistics - Theory and Methods 39:5, pages 884-898.
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Barry C. Arnold, Héctor W. Gómez & Hugo S. Salinas. (2009) On multiple constraint skewed models. Statistics 43:3, pages 279-293.
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Articles from other publishers (8)

Juan Duarte, Guillermo Martínez-Flórez, Diego Ignacio Gallardo, Osvaldo Venegas & Héctor W. Gómez. (2023) A Bimodal Extension of the Epsilon-Skew-Normal Model. Mathematics 11:3, pages 507.
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Osvaldo Venegas, Hugo S. Salinas & Héctor W. Gómez. (2020) A note on the Fisher information matrix for the flexible generalized-skew-normal model. Journal of the Korean Statistical Society 49:2, pages 499-515.
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Carl Lee, Felix Famoye & Ayman Y. Alzaatreh. (2013) Methods for generating families of univariate continuous distributions in the recent decades. WIREs Computational Statistics 5:3, pages 219-238.
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Z. Rahnamaei, N. Nematollahi & R. Farnoosh. (2012) The Location-Scale Mixture Exponential Power Distribution: A Bayesian and Maximum Likelihood Approach. Journal of Applied Mathematics 2012, pages 1-14.
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Héctor W. Gómez, David Elal-Olivero, Hugo S. Salinas & Heleno Bolfarine. (2011) Bimodal extension based on the skew-normal distribution with application to pollen data. Environmetrics 22:1, pages 50-62.
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Christophe Ley & Davy Paindaveine. (2010) On the singularity of multivariate skew-symmetric models. Journal of Multivariate Analysis 101:6, pages 1434-1444.
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Dongming Zhu & Victoria Zinde-Walsh. (2009) Properties and estimation of asymmetric exponential power distribution. Journal of Econometrics 148:1, pages 86-99.
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K.K. Jose & Shanoja R. Naik. (2008) A class of asymmetric pathway distributions and an entropy interpretation. Physica A: Statistical Mechanics and its Applications 387:28, pages 6943-6951.
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