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E-Bayesian and Hierarchical Bayesian Estimation of Rayleigh Distribution Parameter with Type-II Censoring from Imprecise Data

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Abstract

Bayesian estimation methods for Rayleigh distribution parameter affect accurate information. However, in real-world conditions, empirical performance results cannot always be recorded or measured accurately. Thus, we'd like to generalize the estimated methods for real numbers to fuzzy numbers. during this paper, Bayesian, E-Bayesian and Hierarchical Bayesian (H-Bayesian) methods are discussed for Rayleigh distribution parameter on the idea of a Type-II censoring schemes under the squared error loss function. Data is taken into account as imprecise and within the form fuzzy numbers. Then, the efficiency of estimation methods is compared via Monte Carlo simulation. Finally, a true data set for the needs described is analyzed.

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Authors and Affiliations

  1. Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    Kazem Fayyaz Heidari, Einollah Deiri & Ezzatallah Baloui Jamkhaneh

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  1. Kazem Fayyaz Heidari
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  2. Einollah Deiri
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  3. Ezzatallah Baloui Jamkhaneh
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Correspondence to Einollah Deiri.

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Heidari, K.F., Deiri, E. & Jamkhaneh, E.B. E-Bayesian and Hierarchical Bayesian Estimation of Rayleigh Distribution Parameter with Type-II Censoring from Imprecise Data. J Indian Soc Probab Stat 23, 63–76 (2022). https://doi.org/10.1007/s41096-021-00112-3

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