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Exact Moments of Order Statistics, MLE, L-Moments and TL - Moments Estimation from Topp-Leone Distribution

Shikha Sehgal, Narinder Pushkarna, Jagdish Saran


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.


Order Statistics, Single moments, Exact moments, Recurrence relations, L-moments, TL-moments, Maximum likelihood estimator, Topp-Leone distribution, J-shaped distribution.

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