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Communications in Statistics - Simulation and Computation Volume 41, 2012 - Issue 9
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Original Articles

Parameter Estimation Through Weighted Least-Squares Rank Regression with Specific Reference to the Weibull and Gumbel Distributions

J. Martin van Zyl Department of Mathematical Statistics and Actuarial Science, University of the Free State, Bloemfontein, South AfricaCorrespondence[email protected]
&
Robert Schall Department of Mathematical Statistics and Actuarial Science, University of the Free State, Bloemfontein, South Africa
Pages 1654-1666 | Received 14 Mar 2011, Accepted 03 Aug 2011, Published online: 11 May 2012

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Xiaoyu Yang, Liyang Xie, Yifeng Yang, Bingfeng Zhao & Yuan Li. (2023) A comparative study for parameter estimation of the Weibull distribution in a small sample size: An application to spring fatigue failure data. Quality Engineering 35:4, pages 553-565.
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J. Martin van Zyl. (2017) Exact expressions for the weights used in least-squares regression estimation for the log-logistic and Weibull distribution. Communications in Statistics - Theory and Methods 46:4, pages 1720-1730.
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Yasin Altinisik & Demet Aydin. Performance evaluation of estimators in the presence of outliers or omitted predictors: a study on the Poisson-Exponential regression model. Communications in Statistics - Simulation and Computation 0:0, pages 1-38.
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Articles from other publishers (8)

Alicja Jokiel-Rokita & Sylwester Pia̧tek. (2022) Estimation of parameters and quantiles of the Weibull distribution. Statistical Papers 65:1, pages 1-18.
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Liyang Xie, Ningxiang Wu & Xiaoyu Yang. (2022) A Minimum Discrepancy Method for Weibull Distribution Parameter Estimation. International Journal of Structural Stability and Dynamics 23:08.
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Shahzad Hussain, Sajjad Haider Bhatti, Tanvir Ahmad & Muhammad Ahmed Shehzad. (2021) Parameter estimation of the Pareto distribution using least squares approaches blended with different rank methods and its applications in modeling natural catastrophes. Natural Hazards 107:2, pages 1693-1708.
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Sahar sadani, Kamel abdollahnezhad, mahdi teimouri & Vahid ranjbar. (2019) New Estimators for Weibull Distribution Parameters: Comprehensive Comparative Study for Weibull Distribution. Journal of Statistical Research of Iran 16:1, pages 33-57.
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Minlong Wang, Xintian Liu, Xiaolan Wang & Yansong Wang. (2016) Fatigue Test Analysis of Automotive Key Parts Based on Censored Data and Small Sample Setting. Quality and Reliability Engineering International 33:5, pages 1031-1043.
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Yeliz Mert Kantar. (2016) Estimating Variances in Weighted Least-Squares Estimation of Distributional Parameters. Mathematical and Computational Applications 21:2, pages 7.
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R. Jiang. (2014) A drawback and an improvement of the classical Weibull probability plot. Reliability Engineering & System Safety 126, pages 135-142.
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H.P. Hong. (2013) Selection of regressand for fitting the extreme value distributions using the ordinary, weighted and generalized least-squares methods. Reliability Engineering & System Safety 118, pages 71-80.
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