Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution

• Main Authors: Mahmoud Riad Mahmoud, Fatma A. Khalil, Ghada A. El-Kelany, Hager A. Ibrahim
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2017-01-01
• Series: Cogent Mathematics
• Subjects: censored data; estimation; conventional moments; L-moments; Kumaraswamy distribution
• Online Access: http://dx.doi.org/10.1080/23311835.2017.1357236

This paper suggests a modification of L-moments method to make it suitable for censored data directly (namely: Direct L-moments). This study concentrates on Type-I censored data. The modification is applied to estimate the unknown parameters of Kumaraswamy (Kw) distribution. The suggested modification is compared with L-moments via partial probability-weighted moments (PPWM) method and maximum likelihood (ML) method. The results are achieved using a comparative numerical study in terms of estimate of the unknown parameters, relative bias and root of mean square error (RMSE) using Monte Carlo simulation.