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The exponentiated burr xii distribution: moments and estimation based on lower record values

Authors:

Devendra Kumar ,

Central University of Haryana, IN
About Devendra
Department of Statistics
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Jagdish Saran,

University of Delhi-110007, IN
About Jagdish
Department of Statistics
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Neetu Jain

University of Delhi-110007, IN
About Neetu
Department of Statistics
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Abstract

In this paper, we have established several explicit expressions and recurrence relations for single and product moments of k-th lower record values from exponentiated Burr XII distribution. Two characterizing results of exponentiated Burr XII distribution has been obtained by using the recurrence relation for single moments and conditional expectation based on lower record values. The method of maximum likelihood is adopted for estimating the model parameters based on k-th lower record values. We carried out Monte Carlo simulations to compare the performances of the proposed methods and providing one real data case study for illustration of the results obtained.
How to Cite: Kumar, D., Saran, J. & Jain, N., (2017). The exponentiated burr xii distribution: moments and estimation based on lower record values. Sri Lankan Journal of Applied Statistics. 18(1), pp.1–18. DOI: http://doi.org/10.4038/sljastats.v18i1.7930
Published on 31 Aug 2017.
Peer Reviewed

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