Statistical inference based on k-records

Document Type : Research Article

Authors

• J. Ahmadi
• M. Doostparast

Department of Statistics, Ferdowsi University of Mashhad, Mashhad

10.22067/ijnao.v1i1.621

Abstract

In this paper, an extension of record models, well known as k-records, is considered. Bayesian estimation as well as prediction based on k-records are presented when the underlying distribution is assumed to have a general form. The proposed procedure is applied to the Exponential, Weibull and Pareto models in one parameter case. Also, the two-parameter Exponential distribution, when both parameters are unknown, is studied in more details. Since the ordinary record values are contained in the k-records, by putting k = 1, the results for usual records can be obtained as special case.

Keywords

• Admissibility
• Bayes prediction
• Bayesian estimation
• conjugate prior
• weibull distribution

20.1001.1.24236977.2008.1.1.6.1

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