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Math. Comput. Appl. 2018, 23(3), 47; https://doi.org/10.3390/mca23030047

TL-Moments for Type-I Censored Data with an Application to the Weibull Distribution

1
Department of Statistics, Faculty of Commerce, Al-Azhar University (Girls’ Branch), Cairo, Egypt
2
Department of Mathematical Statistics, Institute of Statistics Studies and Research, Cairo University, Giza, Egypt
*
Author to whom correspondence should be addressed.
Received: 31 July 2018 / Revised: 30 August 2018 / Accepted: 6 September 2018 / Published: 9 September 2018
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Abstract

This paper aims to provide an adaptation of the trimmed L (TL)-moments method to censored data. The present study concentrates on Type-I censored data. The idea of using TL-moments with censored data may seem conflicting. However, our perspective is that we can use data censored from one side and trimmed from the other side. This study is applied to estimate the two unknown parameters of the Weibull distribution. The suggested point is compared with direct L-moments and maximum likelihood (ML) methods. A Monte Carlo simulation study is carried out to compare these methods in terms of estimate average, root of mean square error (RMSE), and relative absolute biases (RABs). View Full-Text
Keywords: censored data; estimation; direct L-moments; TL-moments; maximum likelihood; Weibull distribution censored data; estimation; direct L-moments; TL-moments; maximum likelihood; Weibull distribution
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Ibrahim, H.A.; Mahmoud, M.R.; Khalil, F.A.; El-Kelany, G.A. TL-Moments for Type-I Censored Data with an Application to the Weibull Distribution. Math. Comput. Appl. 2018, 23, 47.

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