| 二次函数服从x~2 —分布的条件 |
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| 引用本文： | 李开灿.二次函数服从x~2 —分布的条件[J].湖北师范学院学报(哲学社会科学版),1995(3). |
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| 作者姓名： | 李开灿 |
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| 摘 要： | 关于正态随机变量二次型服从x~2-分布的充要条件已经给出了许多结果。本文对正态变量的二次函数服从非中心x~2-分布的问题进行了研究,得到了相应的充要条件,对于(1)(2)给出的充要条件相比较有更容易判别的优点。
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| 关 键 词： | 正态随机变量 二次函数 x~2-分布 矩母函数 |
A CONDITION OF QUADRATIC FORMS TO HAVE X~2-DISTRIBUTION |
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| Li Kaican.A CONDITION OF QUADRATIC FORMS TO HAVE X~2-DISTRIBUTION[J].Journal of Hubei Normal University(Philosophy and Social Science),1995(3). |
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| Authors: | Li Kaican |
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| Abstract: | On the condition that quadatic forms of normal random variables have X2-distribution had been studied in 1].2].3]. In this paper,A NS (necessary-sufficient)condition for a quadratic function of normal variables to be distributed as X2 will be given. It is easier than that is in1]2]. |
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| Keywords: | Normal random variable Quadratic function X~2-distribution Moment generating function |
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