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Original Articles

RELIABILITY STUDIES OF THE SKEW-NORMAL DISTRIBUTION AND ITS APPLICATION TO A STRENGTH-STRESS MODEL

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Pages 2427-2445 | Received 01 Dec 2000, Published online: 15 Aug 2006

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Rendao Ye, Bingni Fang, Zhongchi Wang, Kun Luo & Wenting Ge. (2023) Bootstrap inference on the Behrens–Fisher-type problem for the skew-normal population under dependent samples. Communications in Statistics - Theory and Methods 52:11, pages 3751-3766.
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Wen-Jang Huang, Nan-Cheng Su & Hui-Yi Teng. (2019) On some study of skew-t distributions. Communications in Statistics - Theory and Methods 48:19, pages 4712-4729.
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Hossein Nadeb, Hamzeh Torabi & Yichuan Zhao. (2019) Stress-strength reliability of exponentiated Fréchet distributions based on Type-II censored data. Journal of Statistical Computation and Simulation 89:10, pages 1863-1876.
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Wen-Jang Huang & Nan-Cheng Su. (2017) A study of generalized normal distributions. Communications in Statistics - Theory and Methods 46:11, pages 5612-5632.
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Nan-Cheng Su & Arjun K. Gupta. (2015) On some sampling distributions for skew-normal population. Journal of Statistical Computation and Simulation 85:17, pages 3549-3559.
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M. E. Ghitany, D. K. Al-Mutairi & S. M. Aboukhamseen. (2015) Estimation of the Reliability of a Stress-Strength System from Power Lindley Distributions. Communications in Statistics - Simulation and Computation 44:1, pages 118-136.
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Héctor W. Gómez, Héctor Varela & Ignacio Vidal. (2013) A new class of skew-symmetric distributions and related families. Statistics 47:2, pages 411-421.
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Jose Almer T. Sanqui, Truc T. Nguyen & Arjun K. Gupta. (2012) Locally optimal test of normality against skew-normality. Journal of Statistical Computation and Simulation 82:3, pages 359-368.
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Ramesh C. Gupta, M. E. Ghitany & D. K. Al-Mutairi. (2010) Estimation of reliability from Marshall–Olkin extended Lomax distributions. Journal of Statistical Computation and Simulation 80:8, pages 937-947.
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A. Jamalizadeh, R. Pourmousa & N. Balakrishnan. (2009) Truncated and Limited Skew-Normal and Skew-t Distributions: Properties and an Illustration. Communications in Statistics - Theory and Methods 38:16-17, pages 2653-2668.
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S. Cabras & M. E. Castellanos. (2009) Default Bayesian goodness-of-fit tests for the skew-normal model. Journal of Applied Statistics 36:2, pages 223-232.
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Héctor W. Gómez, Hugo S. Salinas & Heleno Bolfarine. (2006) Generalized skew-normal models: properties and inference. Statistics 40:6, pages 495-505.
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John T. Chen, Arjun K. Gupta & Truc T. Nguyen. (2004) The density of the skew normal sample mean and its applications. Journal of Statistical Computation and Simulation 74:7, pages 487-494.
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