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Research ArticleOpen accessEstimation of the Extreme Value Type I Distribution by the Method of LQ-MomentsAni Shabri, Abdul Aziz JemainProblem statement: 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 … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,040 accessesView PDFCite
Research ArticleOpen accessLQ-Moments: Application to the Log-Normal distributionAni Shabri, Abdul A. JemainMudolkar and Hutson (1998) extended L-moments to new moment like entitles called LQmoments (LQMOM). The LQMOM are constructed by using functional defining the quick estimators, where the parameters of quick estimator take the values p = 0, α = 1 for the median, p = 1/4, α = 1/4 for the trimean and p = 0.3, α = 1/3 for … …Journal of Mathematics and Statistics, Vol. 2, Issue 3 · 30 Sep 2006 · 6,998 accessesView PDFCite