2014•Statistics research lettersRequires access

L-Moments, TL-Moments Estimation and Recurrence Relations for Moments of Order Statistics from Exponentiated Inverted Weibull Distribution

Jagdish Saran, Devendra Kumar, Narinder Pushkarna, Rashmi Tiwari

Abstract

In this paper we have established exact expressions and some recurrence relations for single and product moments of order statistics from exponentiated inverted Weibull distribution. Further the characterization of this distribution has been considered on using a recurrence relation for single moments. The first four moments and variances of order statistics are computed for various values of parameters α and β . We have also obtained L-moments and TL-moments of the above distribution and used them to find the Lmoments and TL-moments estimators of the parameters α and β of the distribution.

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Key concepts: L-moment, Order statistic, Weibull distribution, Mathematics, Estimator, Recurrence relation, Method of moments (probability theory), Distribution (mathematics)