These estimates are compared in terms of theestimated risk by the Monte Carlo simulations for the generalized Rayleigh (Burr Type X) distribution
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The distributions from proportional reversed hazard rate models have been extensively studiedin literature because of their wide applicability in the modelling and analysis of lifetime data.
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Temel Bulgular & Veri:In this study, we consider thedistributions from the two-parameter proportional reversed hazard rate models.
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Sonuç & Katkı:These estimates are compared in terms of theestimated risk by the Monte Carlo simulations for the generalized Rayleigh (Burr Type X) distribution
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bayes estimation · Inter-record times · PRHR model
Abstract
The distributions from proportional reversed hazard rate models have been extensively studiedin literature because of their wide applicability in the modelling and analysis of lifetime data. Moreover,record values and their properties have also been examined by many authors. In this study, we consider thedistributions from the two-parameter proportional reversed hazard rate models. The maximum likelihoodand Bayes estimates are obtained for the unknown parameters based on upper record values with the numberof trials following the record values (inter-record times). These estimates are compared in terms of theestimated risk by the Monte Carlo simulations for the generalized Rayleigh (Burr Type X) distribution
KIZILASLAN, F., NADAR., M. (2014). ESTIMATIONS FOR PROPORTIONAL REVERSED HAZARD RATE MODEL DISTRIBUTIONS BASED ON UPPER RECORD VALUES AND INTER-RECORD TIMES. Türkiye İstatistik Derneği İstatistik Dergisi, Cilt: 7 - Sayı: 2, 55–62. https://ajindex.com/articles/812583
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Wang, L. and Shi, Y. (2013). Reliability analysis of a class of exponential distribution under record values. Journal of Computational and Applied Mathematics, 239, 367-379.
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Nadar, M. and Kızılaslan, F. (2014). Estimation and prediction of the Burr type XII distribution based on record values and inter-record times. Journal of Statistical Computation and Simulation, DOI:10.1080/00949655.2014.970554.