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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

A Data Driven Parameter Estimation for the Three-Parameter Weibull Population from Censored Samples

by
Ahmed M. M. Sultan
Egypt Air Force, Cairo, Egypt
Math. Comput. Appl. 2008, 13(2), 129-136; https://doi.org/10.3390/mca13020129
Published: 1 August 2008
Versions Notes

Abstract

A method is described for the calculation of the three-parameter Weibull distribution function from censored samples. The method introduces a data driven technique based on an adapted Gaussian like kernel to match the censoring scheme. The method minimizes the Cramer von Mises distance from a non-parametric density estimate and the parametric estimate at the order statistics. The maximum likelihood estimators are found and a comparison is made with the new estimator. A Monte Carlo experiment of size 1000 is conducted to test the performance of the new parameter estimation technique. The mean integrated square error is taken as a measure of the closeness of the estimated density and the true density.
Keywords: Non-parametric density; Weibull censored samples; Gaussian kernel; typeII censoring; hybrid methods; Cramer von Mises statistic Non-parametric density; Weibull censored samples; Gaussian kernel; typeII censoring; hybrid methods; Cramer von Mises statistic

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MDPI and ACS Style

Sultan, A.M.M. A Data Driven Parameter Estimation for the Three-Parameter Weibull Population from Censored Samples. Math. Comput. Appl. 2008, 13, 129-136. https://doi.org/10.3390/mca13020129

AMA Style

Sultan AMM. A Data Driven Parameter Estimation for the Three-Parameter Weibull Population from Censored Samples. Mathematical and Computational Applications. 2008; 13(2):129-136. https://doi.org/10.3390/mca13020129

Chicago/Turabian Style

Sultan, Ahmed M. M. 2008. "A Data Driven Parameter Estimation for the Three-Parameter Weibull Population from Censored Samples" Mathematical and Computational Applications 13, no. 2: 129-136. https://doi.org/10.3390/mca13020129

APA Style

Sultan, A. M. M. (2008). A Data Driven Parameter Estimation for the Three-Parameter Weibull Population from Censored Samples. Mathematical and Computational Applications, 13(2), 129-136. https://doi.org/10.3390/mca13020129

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