Bayesian analysis for the Burr type XII distribution based on record values

In this paper we reviewed and extended some results that have been derived on record values from the two parameters Burr Type XII distribution. The two parameters were assumed to be random variables and Bayes estimates were derived on the basis of a linear exponential (LINEX) loss function. Estimate...

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Bibliographic Details
Main Authors: Mustafa Nadar, Alexandros Papadopoulos
Format: Article
Language:English
Published: University of Bologna 2013-05-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/3624
Description
Summary:In this paper we reviewed and extended some results that have been derived on record values from the two parameters Burr Type XII distribution. The two parameters were assumed to be random variables and Bayes estimates were derived on the basis of a linear exponential (LINEX) loss function. Estimates for future record values were derived using non Bayesian and Bayesian approaches. In the Bayesian approach we reviewed the estimators obtained by Ahmedi and Doostparast (2006) using the well known squared error loss (SEL) function and we derived estimate for the future record value under LINEX loss function. A numerical example with tables and figures illustrated the findings.
ISSN:0390-590X
1973-2201