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      Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics

      research-article
      1 , 2 , *
      The Scientific World Journal
      Hindawi Publishing Corporation

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          Abstract

          The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution is obtained. Also, an approximation based on Lindley is used to obtain the Bayes estimator. To compare the maximum likelihood estimator and the Bayes estimator of the parameters, Monte Carlo simulation study is performed.

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          Most cited references16

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          Cumulative Frequency Functions

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            Approximate Bayesian methods

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              A concept of generalized order statistics

              Udo Kamps (1995)
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                Author and article information

                Journal
                ScientificWorldJournal
                ScientificWorldJournal
                TSWJ
                The Scientific World Journal
                Hindawi Publishing Corporation
                2356-6140
                1537-744X
                2014
                19 October 2014
                : 2014
                : 512039
                Affiliations
                1Department of Applied Mathematics, Kongju National University, Gongju 314-701, Republic of Korea
                2Department of Statistics and Actuarial Science, University of Iowa, Iowa City, IA 52242-1409, USA
                Author notes

                Academic Editor: Krzysztof Malarz

                Author information
                http://orcid.org/0000-0002-7594-9072
                http://orcid.org/0000-0001-8299-0391
                Article
                10.1155/2014/512039
                4216690
                53ddc76f-4413-461f-bb6c-4d32bc8101d7
                Copyright © 2014 C. Kim and W. Kim.

                This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

                History
                : 12 June 2014
                : 16 September 2014
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