Estimation of the extreme value type I Distribution by the method of LQ-Moments

• Main Authors: Shabri, Ani, Jemain, Abdul Aziz
• Format: Article
• Language: English
• Published: Science Publications 2009
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/2638/1/AniShabri2009_EstimationoftheExtremeValueType.pdf; http://eprints.utm.my/id/eprint/2638/; http://www.scipub.org/fulltext/jms2/jms254298-304.pdf
• Institution: Universiti Teknologi Malaysia

The study evaluated the effectiveness of the various quantile estimators of the LQ-moments method for estimating parameters of the Extreme Value Type 1 (EV1) distribution. Approach: The performances of the LQ-moments were analyzed and compared against a widely used method of L-moments by using simulated samples of both EV1 and generalized Lambda distribution, focusing on small and moderate sample sizes. Results: The analysis results showed that LQMOM method wais more efficient in many cases especially for the upper tails of the distribution and for various sample sizes. Conclusion: This study demonstrated that conventional LMOM was not optimal for the estimation of the EV1 distribution