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Journal of Applied Statistics Volume 45, 2018 - Issue 2
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Original Articles

L-moments of the Birnbaum–Saunders distribution and its extreme value version: estimation, goodness of fit and application to earthquake data

Camilo LilloFaculty of Engineering and Sciences, Universidad Adolfo Ibáñez, Viña del Mar, ChileView further author information
,
Víctor LeivaFaculty of Engineering and Sciences, Universidad Adolfo Ibáñez, Viña del Mar, Chile;Faculty of Administration, Accounting and Economics, Universidade Federal de Goiás, Goiânia, BrazilCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-4755-3270View further author information
ORCID Icon,
Orietta NicolisInstitute of Statistics, Universidad de Valparaíso, Valparaíso, ChileView further author information
&
Robert G. AykroydDepartment of Statistics, University of Leeds, Leeds, UKView further author information
Pages 187-209 | Received 22 Apr 2016, Accepted 18 Nov 2016, Published online: 30 Dec 2016

Citations (20)

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T. Šimková. (2021) Confidence intervals based on L-moments for quantiles of the GP and GEV distributions with application to market-opening asset prices data. Journal of Applied Statistics 48:7, pages 1199-1226.
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Jaime Arrué, Reinaldo B. Arellano-Valle, Héctor W. Gómez & Víctor Leiva. (2020) On a new type of Birnbaum-Saunders models and its inference and application to fatigue data. Journal of Applied Statistics 47:13-15, pages 2690-2710.
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S. Balamurali, P. Jeyadurga & M. Usha. (2018) Optimal design of repetitive group sampling plans for Weibull and gamma distributions with applications and comparison to the Birnbaum–Saunders distribution. Journal of Applied Statistics 45:14, pages 2499-2520.
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Articles from other publishers (17)

Paweł D. Domański, Robert Jankowski, Krzysztof Dziuba & Radosław Góra. (2023) Assessing Control Sustainability Using L-Moment Ratio Diagrams. Electronics 12:11, pages 2377.
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Helio M. de Oliveira, Raydonal Ospina, Carlos Martin-Barreiro, Víctor Leiva & Christophe Chesneau. (2023) On the Use of Variability Measures to Analyze Source Coding Data Based on the Shannon Entropy. Mathematics 11:2, pages 293.
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Ratri Mukherjee, Premananda Indic, Colm P. Travers, Namasivayam Ambalavanan & Pravitha Ramanand. (2022) Stochastic Modeling of Inter-Hypoxemia Intervals in Preterm Infants. Stochastic Modeling of Inter-Hypoxemia Intervals in Preterm Infants.
Bernardo Lagos-Álvarez, Nixon Jerez-Lillo, Jean P. Navarrete, Jorge Figueroa-Zúñiga & Víctor Leiva. (2022) A Type I Generalized Logistic Distribution: Solving Its Estimation Problems with a Bayesian Approach and Numerical Applications Based on Simulated and Engineering Data. Symmetry 14:4, pages 655.
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Helton Saulo, Rubens Souza, Roberto Vila, Víctor Leiva & Robert G. Aykroyd. (2021) Modeling Mortality Based on Pollution and Temperature Using a New Birnbaum–Saunders Autoregressive Moving Average Structure with Regressors and Related-Sensors Data. Sensors 21:19, pages 6518.
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Rajan Chattamvelli & Ramalingam Shanmugam. (2021) Continuous Distributions in Engineering and the Applied Sciences -- Part II. Synthesis Lectures on Mathematics and Statistics 13:5, pages 1-168.
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Víctor Leiva, Helton Saulo, Rubens Souza, Robert G. Aykroyd & Roberto Vila. (2021) A new BISARMA time series model for forecasting mortality using weather and particulate matter data. Journal of Forecasting 40:2, pages 346-364.
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Jeremias Leão, Erico Lopes, Themis Leão & Diego C. Nascimento. (2020) Birnbaum‐Saunders autoregressive conditional range model applied to stock index data. Applied Stochastic Models in Business and Industry 36:4, pages 570-585.
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M.C. Raghucharan, Surendra Nadh Somala & Svetlana Rodina. (2019) Seismic attenuation model using artificial neural networks. Soil Dynamics and Earthquake Engineering 126, pages 105828.
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Hanpeng Cai, Qing Qin, Huiqiang Li, Yaojun Wang, Yuejing Zhang, Qianjun Wang & Jinduo Wang. (2019) Experimental analysis of AVO inversion method with generalized extreme value constraint of reflection coefficient. Experimental analysis of AVO inversion method with generalized extreme value constraint of reflection coefficient.
Carolina Marchant, Víctor Leiva, George Christakos & M. Fernanda Cavieres. (2018) Monitoring urban environmental pollution by bivariate control charts: New methodology and case study in Santiago, Chile. Environmetrics 30:5.
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Emilia Athayde, Assis Azevedo, Michelli Barros & Víctor Leiva. (2019) Failure rate of Birnbaum–Saunders distributions: Shape, change-point, estimation and robustness. Brazilian Journal of Probability and Statistics 33:2.
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Víctor Leiva, Camilo Lillo, M. Ivette Gomes & Marta Ferreira. (2018) Discussion of “Birnbaum‐Saunders distribution: A review of models, analysis, and applications” and a novel financial extreme value data analytics from natural disasters. Applied Stochastic Models in Business and Industry 35:1, pages 90-95.
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N. Balakrishnan & Debasis Kundu. (2018) Birnbaum‐Saunders distribution: A review of models, analysis, and applications. Applied Stochastic Models in Business and Industry 35:1, pages 4-49.
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Jeremias Leão, Víctor Leiva, Helton Saulo & Vera Tomazella. (2018) A survival model with Birnbaum–Saunders frailty for uncensored and censored cancer data. Brazilian Journal of Probability and Statistics 32:4.
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Fabiana Garcia-Papani, Víctor Leiva, Fabrizio Ruggeri & Miguel A. Uribe-Opazo. (2018) Kriging with external drift in a Birnbaum–Saunders geostatistical model. Stochastic Environmental Research and Risk Assessment 32:6, pages 1517-1530.
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Robert Aykroyd, Víctor Leiva & Carolina Marchant. (2018) Multivariate Birnbaum-Saunders Distributions: Modelling and Applications. Risks 6:1, pages 21.
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