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The Kumaraswamy-Burr III Distribution Based on Upper Record Values

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SYNOPTIC ABSTRACT This article addresses the problem of frequent estimation of the parameters of the Kumaraswamy-Burr III distribution using upper record values. The explicit expressions and recurrence relations satisfied by… Click to show full abstract

SYNOPTIC ABSTRACT This article addresses the problem of frequent estimation of the parameters of the Kumaraswamy-Burr III distribution using upper record values. The explicit expressions and recurrence relations satisfied by the single and product moments of kth upper record values from Kumaraswamy-Burr III distribution are also derived. The corresponding results for upper record values are obtained as special cases. Further, using a recurrence relation for single moments and conditional expectation of record values, we obtain characterization of this distribution. The method of maximum likelihood is adopted for estimating the model parameters. For different parameter settings and sample sizes, various simulation studies have been performed and their performances are compared. Finally, a real data example is discussed to illustrate its applicability.

Keywords: record; burr iii; record values; upper record; kumaraswamy burr; distribution

Journal Title: American Journal of Mathematical and Management Sciences
Year Published: 2017

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