海南师范大学学报（自然科学版）2025，Vol.38Issue(4)：383-391,398,10.DOI:10.12051/j.issn.1674-4942.2025.04.002
指数帕累托分布下负载共享并联系统的参数估计
Estimation of Parameters for Load-sharing Parallel Systems under Exponential Pareto Distribution
摘要
Abstract
The exponential Pareto distribution has a wide range of applications in areas such as survival analysis and income difference analysis.This article investigates the estimation of parameters for the load-sharing parallel system when the underlying distribution of component lifetime is exponential pareto with two unknown shape parameters and one scale parameter.The appropriate iterative method is used to discuss the parameter estimators,and the asymptotic distribution of the proposed maximum likelihood estimator is presented.For the simplified model,the maximum likelihood estimates of parameters are obtained,and the confidence intervals for the parameters are constructed using the bootstrap technique.Finally,some appropriate simulation methods and an example are used to illustrate the proposed methods.关键词
负载共享并联系统/指数帕累托分布/参数估计/Bootstrap重抽样Key words
load sharing parallel system/exponential Pareto distribution/parameter estimation/Bootstrap resampling分类
数理科学引用本文复制引用
ZHANG Zhengcheng,WU Lan,ZHONG Xin'ao..指数帕累托分布下负载共享并联系统的参数估计[J].海南师范大学学报（自然科学版）,2025,38(4):383-391,398,10.基金项目
国家自然科学基金项目(72161009) （72161009）
海南省自然科学基金项目(124MS055) （124MS055）
