| 连续型二维随机变量线性函数和的概率密度的简单求法 |
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| 引用本文： | 周永卫,范贺花.连续型二维随机变量线性函数和的概率密度的简单求法[J].河南教育学院学报(自然科学版),2009,18(1):3-6. |
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| 作者姓名： | 周永卫 范贺花 |
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| 作者单位： | 郑州航空工业管理学院数理系,河南郑州,450015 |
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| 基金项目： | 河南省教育厅自然科学基金，河南省教育科学规划课题 |
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| 摘 要： | 通过对形如Z=ax＋by（ab≠0）的分布函数进行分析，得到了其密度函数fx（z）的表达式，并给予了详细证明．形式简捷、易于求解，结论具有一般性．应用实例表明了其求解的有效性．
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| 关 键 词： | 连续 二维随机变量 分布函数 概率密度 |
A Simple Solving Method of the Probability Density Function with Respect to the Sum of the Linear Function on the Continuous Two-Dimensional Random Variables |
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| ZHOU Yongwei,FAN Hehua.A Simple Solving Method of the Probability Density Function with Respect to the Sum of the Linear Function on the Continuous Two-Dimensional Random Variables[J].Journal of Henan Education Institute(Natural Science Edition),2009,18(1):3-6. |
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| Authors: | ZHOU Yongwei FAN Hehua |
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| Institution: | Department of Mathematics and Physics;Zhengzhou Institute of Aeronautical Industry Management;Zhengzhou 450015;China |
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| Abstract: | By analysis of the distribution function of Z = aX ＋ bY （ab≠0） , get the expression of fx（z） , and prove it in detail. It is simple and direct in form, easy to find the solution, and the conclusion is universal. Efficiency of the solution has been demonstrated by application examples. |
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| Keywords: | continuous two-dimensional random variables distribution function probability density |
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