| 关于次序统计量数学期望的两个恒等式的简证及其应用 |
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| 引用本文： | 生志荣,许华,王明刚.关于次序统计量数学期望的两个恒等式的简证及其应用[J].数学的实践与认识,2013,43(7). |
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| 作者姓名： | 生志荣 许华 王明刚 |
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| 作者单位： | 南京师范大学泰州学院,江苏泰州,225300 |
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| 基金项目： | 南京师范大学泰州学院青年项目，泰州市科技支撑计划项目 |
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| 摘 要： | 给出了最大最小次序统计量分布函数和密度函数的恒等式,从而在随机变量独立同分布情形下,给出了关于次序统计量数学期望的两个恒等式的简捷证法.最后将几个恒等式应用于威布尔分布的最大次序统计量的分布及其数字特征的计算.
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| 关 键 词： | 次序统计量 数学期望 威布尔分布 恒等式 |
A Simple Proof of Two Identities on Expectation of Order Statistics and Its Applications |
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| SHENG Zhi-rong
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XU Hua
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WANG Ming-gang.A Simple Proof of Two Identities on Expectation of Order Statistics and Its Applications[J].Mathematics in Practice and Theory,2013,43(7). |
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| Authors: | SHENG Zhi-rong XU Hua WANG Ming-gang |
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| Abstract: | In this paper,a distribution function identity and a probability density function identity on the order statistics are presented.Then a simple proof of two expectation identities on the order statistics is obtained when the random variables are independent and identical distribution.These identities are applied to computer the distribution function and numerical characteristics on the weibull maximal order statistics. |
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| Keywords: | order statistics expectation weibull distribution identity |
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