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Burr Type Ⅻ分布的统计推断
Statistical Inference for the Burr Type Ⅻ Distribution
【摘要】 该文讨论了两参数Burr TypeⅫ分布基于逐次定数截尾样本的参数估计,导出了有关参数的点估计和区间估计.我们利用模拟方法对所给点估计和参数的最大似然估计作了比较,模拟结果显示所给点估计优于常用的最大似然估计.最后,用一个实际例子说明本文所给方法.
【Abstract】 This paper obtains the new point estimate and interval estimate for the two- parameter Burr typeⅫdistribution based on the progressively typeⅡcensored sample. Using Monte Carlo method,we compare the proposed estimators with the maximum likeli- hood estimators.The simulation results show that the proposed estimators outperform the maximum likelihood estimators.Finally,a numerical example is presented to illustrate the methods discussed in this paper.
【关键词】 Burr TypeⅫ分布;
逐次定数截尾样本;
点估计;
区间估计;
【Key words】 Burr type Ⅻ distribution; Progressively typeⅡcensored sample; Point estimation; Confidence interval;
【Key words】 Burr type Ⅻ distribution; Progressively typeⅡcensored sample; Point estimation; Confidence interval;
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2008年06期
- 【分类号】O213.2
- 【被引频次】18
- 【下载频次】201