The Kumaraswamy-Burr III Distribution Based on Upper Record Values

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 AND PHRASES:

• Order statistics
• kth upper record values
• moments
• recurrence relations
• Kumaraswamy-Burr III distribution
• characterization
• maximum likelihood estimation

Acknowledgments

The authors would like to thank the reviewers and editors for their comments, which helped improve the article.