| 分组截尾数据下离散型寿命概率分布的估计方法 |
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| 引用本文： | 侯超钧,吴东庆,王前,杨志伟.分组截尾数据下离散型寿命概率分布的估计方法[J].徐州师范大学学报(自然科学版),2012,30(2):29-32. |
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| 作者姓名： | 侯超钧 吴东庆 王前 杨志伟 |
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| 作者单位： | 仲恺农业工程学院计算科学学院,广东广州,510225 |
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| 基金项目： | 仲恺农业工程学院基金资助项目 |
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| 摘 要： | 目前针对离散型未知寿命分布的分组数据研究较少．为避免求解复杂的非线性极大似然方程组，由加入拉格朗日乘子的似然方程组中推导具有递推关系的概率分布计算公式，并通过退化的单区间模型得到P1的极大似然估计，从而完成概率分布律Pi的递推计算．实验说明该方法有效．
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| 关 键 词： | 截尾试验 极大似然估计 不完整数据 分组数据 |
Estimation on survival discrete probability distributions with grouped censored data |
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| Hou Chaojun
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Wu Dongqing
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Wang Qian
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Yang Zhiwei.Estimation on survival discrete probability distributions with grouped censored data[J].Journal of Xuzhou Normal University(Natural Science Edition),2012,30(2):29-32. |
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| Authors: | Hou Chaojun Wu Dongqing Wang Qian Yang Zhiwei |
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| Institution: | (School of Computational Science,Zhongkai University of Agriculture & Engineering,Guangzhou 510225,Guangdong,China) |
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| Abstract: | At present,the grouped data to unknown survival discrete probability distributions are less studied.To avoid solving complex nonlinear maximum likelihood equations,the probability distribution formula with recursion relations is derived from the likelihood equations by joining the Lagrange multiplier.Then the maximum likelihood estimation of p1 is obtained through the degradation of single interval model.Thus,the probability distribution of pi is calculated successively.The experiment result shows that this method is effective. |
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| Keywords: | censored experiment maximum likelihood estimation uncompleted datum grouped datum |
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