Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 31 July 2018 / Approved: 2 August 2018 / Online: 2 August 2018 (08:18:39 CEST)

A peer-reviewed article of this Preprint also exists.

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. 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.

Journal reference: Math. Comput. Appl. 2018, 23, 47
DOI: 10.3390/mca23030047

Abstract

This paper aims to provide an adaptation of the 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. But our perspective in that, we may 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 ML methods. A Monte Carlo simulation study is carried out to compare these method in terms of estimate average, root of mean square error (RMSE) and relative absolute biases (RAB).

Subject Areas

censored data; estimation; direct L-moments; TL-moments; maximum likelihood; weibull distribution

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