Exact Moments of Order Statistics, MLE, L-Moments and TL - Moments Estimation from Topp-Leone Distribution
In this paper, we have obtained the exact expression and the recurrence relation for the single moments of order statistics arising from Topp-Leone distribution. We have also obtained L-moments and TL-moments of Topp-Leone distribution and used them to find the L-moment and TL-moment estimators of the parameter α of the distribution. The maximum likelihood estimator (MLE) of the parameter α is also obtained. Analyses of a real data set as well as Monte Carlo simulation have been presented for comparative and illustrative purposes.
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