双定数混合截尾下Lomax分布参数的Bayes估计

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中图分类号：0213 文献标志码：A 文章编号：1673-5072（2025）03-0263-06

Abstract：Under the double Type-II hybrid censoring test，the maximum likelihood estimation was obtained for the Lomax distribution with two parameters，and the Bayes estimation of the shape parameter was studied.When the scale parameters were known and the prior distribution of the shape parameters was taken as the Gamma distribution，the Bayes estimation of the shape parameters was given under four different loss functions，and the optimal hyperparameters were found by combining the particle swarm algorithm.Finally，under various loss functions，the average relative eror of the Bayesian estimation of the shape parameter was compared.The numerical analysis results show that the particle swarm algorithm can determine the hyperparameters more accurately and efciently，so that the Bayesian estimation of the shape parameters under different loss functions is more accurate.

Keywords：Lomax distribution;double type-II hybrid censoring; maximum likelihood estimation ; Bayes estimation ;particle swarm algorithm

Lomax 分布可视为指数分布和伽玛分布的一种混合分布，在经济学、医学、生物学以及工程科学均有着广泛的应用。（剩余4296字）