| 1. | Simple algorithm for probability density of function in two random variable
关于二维随机变量函数的概率密度的一种简便算法 |
| 2. | Calculating skill on the distribution of2 - dimensional continuous random variable functions
二维连续型随机变量函数的分布计算技巧 |
| 3. | The distribution for function of variables is an important but difficult to be mastered course
摘要随机变量函数的分布是数学系概率统计课程教学中的一个重点和难点。 |
| 4. | Though studying some formulas in theory of probability , we give the formula conditional probability in complete event set and a simplified formula for density ' s function in two random variables , they offer new methods in calculation
摘要通过对概率论中有关公式的研究，给出了全条件概率公式和二维随机变量函数的密度函数的简化计算公式，为其计算提供了新的方法。 |
| 5. | The main idea of this method include two steps : at first , the approximate expression of function is obtained by method of weighted residuals ; then the first and second moment of the random function can be calculated with method of moment
该方法的基本思想是利用加权残值法获得问题解的近似函数表达式，在此基础上利用求解随机变量函数的矩法求得随机函数的一、二阶矩等统计数字特征。 |
| 6. | A necessary and sufficient condition with ergodic of 1 - order probability distribution function of stochastic process ( theorem 1 and corollary 1 ) and extended the general distribution theorem of stochastic variable under the case of weakly condition ( theorem2 ) are presented
摘要提出了随机过程一阶概率分布函数具有遍历性的一个充分必要条件（定理1和推论1 ） ，并在较弱条件下，对一般的关于随机变量函数分布定理作了进一步的推广（定理2 ） 。 |
| 7. | The obtained results in the paper are as follows : ( 1 ) the expansion of fourier series of orthogonal trigonometric polynomial for conditional mathematical expectation and function of random variable ; ( 2 ) the best approximation of trigonometric polynomial about another random variable for function of a random variable ; ( 3 ) the best approximation order of trigonometric polynomial for function of random variable
摘要获得了如下结果： ( 1 )条件数学期望及随机变量函数的三角多项式级数表达； ( 2 )一个随机变量关于另一个随机变量的三角多项式的最佳逼近； ( 3 )随机变量函数被随机变量三角多项式最佳逼近的阶。 |
