| 一类单调函数的数学期望 |
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| 引用本文： | 丁勇. 一类单调函数的数学期望[J]. 数学的实践与认识, 2004, 34(1): 94-98 |
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| 作者姓名： | 丁勇 |
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| 作者单位： | 南京医科大学数学教研室,南京,210029 |
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| 摘 要： | 对一类单调可微的有界函数 ,利用相对变化率的概念 ,定义了一种由该函数生成的概率密度函数 ,讨论了有关数学期望的计算和性质 ,并给出了在函数上升或下降速度比较、药动学模型识别中的应用 .
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| 关 键 词： | 单调函数 变化率 数学期望 |
| 修稿时间： | 2001-09-04 |
A Mathematical Expectation for a Class of Monotone Function |
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| DING Yong. A Mathematical Expectation for a Class of Monotone Function[J]. Mathematics in Practice and Theory, 2004, 34(1): 94-98 |
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| Authors: | DING Yong |
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| Abstract: | Using conception of relative rate of change, a definition of probability density function is given based on the class of differentiable monotone function which is bounded on domain of definition. Calculation and properties of the mathematical expectation are discussed. Applications are given such as comparison to rate of function increase or decrease and model identify in pharmacokinetics. |
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| Keywords: | monotone function rate of change mathematical expectation |
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