| 寿命服从两参数对数Laplace分布的统计分析方法研究 |
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| 引用本文： | 徐晓岭,顾蓓青,王蓉华.寿命服从两参数对数Laplace分布的统计分析方法研究[J].四川兵工学报,2017(4):169-178. |
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| 作者姓名： | 徐晓岭 顾蓓青 王蓉华 |
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| 作者单位： | 1. 上海对外经贸大学 统计与信息学院,上海,201620;2. 上海师范大学 数理学院,上海,200234 |
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| 基金项目： | 国家自然科学基金资助项目(11671264) |
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| 摘 要： | 首先提出了一种新的寿命分布--两参数对数Laplace分布,研究该分布的密度函数、失效率函数的图像特征以及数字特征,其次在全样本、定数截尾样本以及缺失数据场合下,分别研究了位置参数、刻度参数的点估计与区间估计问题,为满足实际工作者的需要,列出了与枢轴量对应的分位数表,最后通过一个实例说明方法的应用.
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| 关 键 词： | 两参数对数Laplace分布 全样本 定数截尾样本 缺失数据 点估计 区间估计 |
Statistical Analysis Method Study of the Life with Two-Parameter Logarithmic Laplace Distribution |
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| Authors: | XU Xiao-ling GU Bei-qing WANG Rong-hua |
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| Abstract: | A new life distribution called two-parameter logarithmic Laplace distribution was proposed.The image characteristics of density function and failure rate function as well as the numerical characteristics were studied for this distribution.Then the point estimates and interval estimates of location parameter and scale parameter were respectively researched under complete sample, type-I censored sample and missing data.To meet the needs of practitioners, we listed parts of quantile tables of pivotal quantity.Finally, one example was illustrated for the application of methods. |
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| Keywords: | two-parameter logarithmic Laplace distribution complete sample type-I censored sample missing data point estimate interval estimate |
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