Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 39, 2010 - Issue 5
Submit an article Journal homepage
450
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

An Extension of the Epsilon-Skew-Normal Distribution

Reinaldo B. Arellano-Valle Departamento de Estadística, Pontificia Universidad Católica de Chile, Santiago, Chile
,
Milton A. Cortés Departamento de Matemática, Universidad de Atacama, Copiapó, Chile
&
Héctor W. Gómez Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, ChileCorrespondence[email protected]
Pages 912-922 | Received 13 Oct 2008, Accepted 09 Feb 2009, Published online: 23 Feb 2010

Citations (28)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (9)

Safdar Ghasami, Zahra Khodadadi & Mohsen Maleki. (2020) Autoregressive processes with generalized hyperbolic innovations. Communications in Statistics - Simulation and Computation 49:12, pages 3080-3092.
Read now
Mehmet Niyazi Çankaya & Olcay Arslan. (2020) On the robustness properties for maximum likelihood estimators of parameters in exponential power and generalized T distributions. Communications in Statistics - Theory and Methods 49:3, pages 607-630.
Read now
Emrah Altun, Huseyin Tatlidil & Gamze Ozel. (2019) Value-at-risk estimation with new skew extension of generalized normal distribution. Communications in Statistics - Theory and Methods 48:14, pages 3663-3681.
Read now
Emrah Altun, Huseyin Tatlidil, Gamze Ozel & Saralees Nadarajah. (2018) A new generalization of skew-T distribution with volatility models. Journal of Statistical Computation and Simulation 88:7, pages 1252-1272.
Read now
Francisco Louzada, Anderson Ara & Guilherme Fernandes. (2017) The bivariate alpha-skew-normal distribution. Communications in Statistics - Theory and Methods 46:14, pages 7147-7156.
Read now
M.Y. Hassan & M.Y. El-Bassiouni. (2016) Bimodal skew-symmetric normal distribution. Communications in Statistics - Theory and Methods 45:5, pages 1527-1541.
Read now
Marina M. de Queiroz, Rosangela H. Loschi & Roger W.C. Silva. (2016) Multivariate log-skewed distributions with normal kernel and their applications. Statistics 50:1, pages 157-175.
Read now
Barry C. Arnold, Héctor W. Gómez & Hugo S. Salinas. (2015) A doubly skewed normal distribution. Statistics 49:4, pages 842-858.
Read now
Caroline C. Vieira, Rosangela H. Loschi & Denise Duarte. (2015) Nonparametric Mixtures Based on Skew-normal Distributions: An Application to Density Estimation. Communications in Statistics - Theory and Methods 44:8, pages 1552-1570.
Read now

Articles from other publishers (19)

Manhee Byun, Changgwon Choe, Seunghyun Cheon, Aejin Lee & Hankwon Lim. (2022) Statistical and stochastic feasibility studies of potential liquid organic hydrogen carriers in a membrane reactor for simultaneous hydrogen storage and production: Technical, economic, and environmental aspects. Renewable Energy 195, pages 1393-1411.
Crossref
Daan de Waal, Tristan Harris, Alta de Waal & Jocelyn Mazarura. (2022) Modelling Bimodal Data Using a Multivariate Triangular-Linked Distribution. Mathematics 10:14, pages 2370.
Crossref
Mahdi Rasekhi, Emrah Altun, Morad Alizadeh & Haitham M. Yousof. (2021) The Odd Log-Logistic Weibull-G Family of Distributions with Regression and Financial Risk Models. Journal of the Operations Research Society of China 10:1, pages 133-158.
Crossref
Emilio Gómez-Déniz, Barry C. Arnold, José M. Sarabia & Héctor W. Gómez. (2021) Properties and Applications of a New Family of Skew Distributions. Mathematics 9:1, pages 87.
Crossref
David Elal-Olivero, Juan F. Olivares-Pacheco, Osvaldo Venegas, Heleno Bolfarine & Héctor W. Gómez. (2020) On Properties of the Bimodal Skew-Normal Distribution and an Application. Mathematics 8:5, pages 703.
Crossref
Anderson Ara & Francisco Louzada. (2019) The Multivariate Alpha Skew Gaussian Distribution. Bulletin of the Brazilian Mathematical Society, New Series 50:4, pages 823-843.
Crossref
Mehmet Niyazi Çankaya, Abdullah Yalçınkaya, Ömer Altındaǧ & Olcay Arslan. (2019) On the robustness of an epsilon skew extension for Burr III distribution on the real line. Computational Statistics 34:3, pages 1247-1273.
Crossref
Mehdi Amiri, Héctor W. Gómez, Ahad Jamalizadeh & Mina Towhidi. (2019) Bimodal extension based on the skew-$t$-normal distribution. Brazilian Journal of Probability and Statistics 33:1.
Crossref
Emrah Altun, Hüseyin Tatlıdil & Gamze Özel. (2018) Conditional ASGT-GARCH Approach to Value-at-Risk. Iranian Journal of Science and Technology, Transactions A: Science 43:1, pages 239-247.
Crossref
Mehmet Çankaya. (2018) Asymmetric Bimodal Exponential Power Distribution on the Real Line. Entropy 20:1, pages 23.
Crossref
Mohsen MalekiReinaldo B. Arellano-ValleDipak K. DeyMohammad R. MahmoudiSeyed Mohammad J. Jalali. (2018) A Bayesian Approach to Robust Skewed Autoregressive Processes. Calcutta Statistical Association Bulletin 69:2, pages 165-182.
Crossref
Mahdi Rasekhi, G. G. Hamedani & Rahim Chinipardaz. (2017) A flexible extension of skew generalized normal distribution. METRON 75:1, pages 87-107.
Crossref
Mahdi Rasekhi, Rahim Chinipardaz & Sayed Mohammad Reza Alavi. (2015) A flexible generalization of the skew normal distribution based on a weighted normal distribution. Statistical Methods & Applications 25:3, pages 375-394.
Crossref
Sukru Acitas, Birdal Senoglu & Olcay Arslan. (2015) Alpha-Skew Generalized t Distribution. Revista Colombiana de Estadística 38:2, pages 371-384.
Crossref
Mohammad A Aljarrah, Carl Lee & Felix Famoye. (2014) On generating T-X family of distributions using quantile functions. Journal of Statistical Distributions and Applications 1:1.
Crossref
S. Shams Harandi & M.H. Alamatsaz. (2013) Alpha–Skew–Laplace distribution. Statistics & Probability Letters 83:3, pages 774-782.
Crossref
A. Bragg, D. C. Swailes & R. Skartlien. (2012) Particle transport in a turbulent boundary layer: Non-local closures for particle dispersion tensors accounting for particle-wall interactions. Physics of Fluids 24:10.
Crossref
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.
Crossref
Manhee Byun, Changgwon Choe, Seunghyun Cheon, Aejin Lee & Hankwon Lim. (2021) Statistical and Stochastic Feasibility Studies of Potential Liquid Organic Hydrogen Carriers in a Membrane Reactor for Simultaneous Hydrogen Storage and Production: Techcnial, Economic, and Environmental Aspects. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.