TY - JOUR T1 - Comparison of Estimates Using Record Statistics from Lomax Model: Bayesian and Non Bayesian Approaches TT - مقایسه‌ی براوردها با استفاده از آماره‌های رکورد از مدل لوماکس: رهیافت‌های بیزی و غیر بیزی JF - srtc-jsri JO - srtc-jsri VL - 3 IS - 2 UR - http://jsri.srtc.ac.ir/article-1-164-en.html Y1 - 2007 SP - 139 EP - 158 KW - Lomax distribution KW - Bayes estimation KW - Record values KW - Symmetric and asymmetric loss functions KW - Bayes predeict N2 - This paper address the problem of Bayesian estimation of the parameters, reliability and hazard function in the context of record statistics values from the two-parameter Lomax distribution. The ML and the Bayes estimates based on records are derived for the two unknown parameters and the survival time parameters, reliability and hazard functions. The Bayes estimates are obtained based on conjugate prior for the scale parameter and discrete prior for the shape parameter of this model. This is done with respect to both symmetric loss function (squared error loss), and asymmetric loss function (linear-exponential (LINEX)) loss function. The maximum likelihood and the different Bayes estimates are compared via Monte Carlo simulation study. A practical example consisting of real record values including in the data from an accelerated test on insulating fluid reported by Nelson was used for illustration and comparison. Finally, Bayesian predictive density function, which is necessary to obtain bounds for predictive interval of future record is derived and discussed using a numerical example. M3 10.18869/acadpub.jsri.3.2.139 ER -