曲线密度及条件曲线密度

研究有函数关系的多个随机变量的分布问题 ,提出“曲线分布密度”的定义 ,从理论上推导出多种情形下曲线分布密度的分析式并研究了有关性质 ,条件密度仅是曲线密度的一种特殊情形。对于随机变量 (ξ,η ,ξ)(ξ =f(ξ ,η) ) ,其中z=f(x,y)具有连续的一阶偏导数 ,得出分析表达式且给出几个简单应用的例子。

Curve density and conditional curve density

This paper deals with the issue about the distribution of multirandom variable with the functional relation and puts forward the definition of curve distribution density. The analytical expression of curve distribution density has been studied. The conditional density is only a special condition of curve density. For the random variable (ξ,η,ζ)ζ=f(ξ,η)],z=f(x,y) having continuous first partial derivations, the definition of conditional curve distribution density has been put forward. This paper has also ineduced the analytical expression and given a few simple application examples.