Journal of Huaiyin Teachers College(Natural Science Edition), Volume. 24, Issue 2, 95(2025)

Knife-cut Bayesian Estimation of Parameters of Rayleigh Distribution under the Weighted Squared Loss Function

YU Xuesong and XU Bao
Author Affiliations
  • College of Mathematics, Jilin Normal University, Siping 136000, China
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    Using the knife cutting method and Bayes parameter estimation method, under the weighted squared loss function, this paper obtains the exact form of Bayes estimation of the Rayleigh distribution with the prior distribution is Jefferys uninformative prior distribution and Gamma distribution. On this basis, the knife-cut Bayesian estimation of parameters is further studied. Finally, the MCMC (Markov Chain Monte Carlo) algorithm is used in the R software to conduct numerical simulations of the Bayesian estimation and jackknife Bayesian estimation of the parameters of the Rayleigh distribution. The simulation results show that when the sample size is large, the simulation effect of the jackknife Bayesian estimation is better under the same prior distribution.

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    YU Xuesong, XU Bao. Knife-cut Bayesian Estimation of Parameters of Rayleigh Distribution under the Weighted Squared Loss Function[J]. Journal of Huaiyin Teachers College(Natural Science Edition), 2025, 24(2): 95

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    Paper Information

    Received: Apr. 12, 2024

    Accepted: Aug. 22, 2025

    Published Online: Aug. 22, 2025

    The Author Email:

    DOI:10.16119/j.cnki.issn1671-6876.2025.02.001

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