| Pareto分布环境因子的估计及其应用 |
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| 引用本文： | 李凤,师义民,田亚爱.Pareto分布环境因子的估计及其应用[J].数学的实践与认识,2007,37(23):49-53. |
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| 作者姓名： | 李凤 师义民 田亚爱 |
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| 作者单位： | 1. 西北工业大学,应用数学系,西安,710072;渭南师范学院,数学系,渭南,714000
2. 西北工业大学,应用数学系,西安,710072 |
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| 摘 要： | 给出了Pareto分布环境因子的定义,讨论了在定数截尾样本下Pareto分布环境因子的极大似然估计和修正极大似然估计,并尝试把环境因子用于可靠性评估中.最后运用Monte Carlo方法对极大似然估计,修正极大似然估计和可靠性指标的均方误差(MSE),进行了模拟比较,结果表明修正极大似然估计优于极大似然估计且考虑环境因子的可靠性评估结果较好.
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| 关 键 词： | Pareto分布 环境因子 似然估计 修正极大似然估计 |
| 修稿时间： | 2006年9月10日 |
The Estimation and Application for the Environmental Factor of the Pareto Distribution |
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| LI Feng,SHI Yi-min,TIAN Ya-ai.The Estimation and Application for the Environmental Factor of the Pareto Distribution[J].Mathematics in Practice and Theory,2007,37(23):49-53. |
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| Authors: | LI Feng SHI Yi-min TIAN Ya-ai |
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| Abstract: | In this article,the definition of the environmental factor of Pareto distribution is given.Maximum likelihood estimate and modified maximum likelihood estimation for the environmental factor of the Pareto distribution are obtained based on the Type II censored samples.Finally,the statistical performances of maximum likelihood estimation are compared to modified maximum likelihood estimation through the(MSE) based on Monte-Carlo simulation study.The simulation results show the modified maximum likelihood estimation is relatively good and the reliability assessment is good when considering the environmental factor. |
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| Keywords: | pareto distribution environmental factor maximum likelihood estimation modified maximum likelihood estimation |
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