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Article type: Research Article
Authors: Khan, Hafiz M.R.
Affiliations: Department of Biostatistics, Robert Stempel College of Public Health and Social Work, Florida International University, 11200 S.W. 8th Street, Miami, FL 33199, USA. E-mail: hmkhan@fiu.edu
Abstract: The lifetime data may be modeled as generalized Rayleigh model. Recently, the authors Raqab and Kundu [35] described this model with several properties. Kundu and Raqab [30] considered different methods of estimation and compared their performance. In this paper, the likelihood function for the parameter given a type II censored sample from the two-parameter generalized Rayleigh model is derived. The posterior density function, the predictive density for a single future response, a bivariate future response, and several future responses are derived. Predictive raw moments, corrected moments, and the shape characteristics for a single future response are obtained. A real data set used by Al-khedhairi et al. [10] is considered to illustrate the predictive results.
Keywords: Censored sample, generalized Rayleigh model, statistical inference, predictive inference
Keywords: 62N02, 62N05, 62F15, 62M20
DOI: 10.3233/MAS-2012-0226
Journal: Model Assisted Statistics and Applications, vol. 7, no. 3, pp. 201-207, 2012
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