随机独立

Though studying some concepts and formulas in theory of probability,we give the definition of conditional independent between two random events and the formula probability in complete events set,and a simplified formula for density s function in n random variables is given.

通过对概率论中有关公式的研究，给出了条件独立的定义、推广了全概率公式和贝叶斯公式，并给出了n维随机变量函数的密度函数的简化计算公式。

A type of baseband GMSK signal correlator is presented in this paper.

该文提出一种基带GMSK 信号相关器，并从GMSK 解调信号的相位概率分布函数以及独立同分布随机

By using the decomposability of graph, high-dimensional problem can be decomposed into some low-dimensional problems, and then we can analyze the independence relation, time sequence relation and causal relation among random variables by means of visual structure of graph.

利用图的可分解性，可将高维问题分解成低维问题，并借助图的直观结构对随机变量间复杂的独立性关系、时序关系或因果关系进行分析。

In advance of reviewing probability for Senior Three students, the author gave an exam of probability. On the basis of analyzing the results, the author carried out a group of teaching strategies, the author reviewed the definition of Frequency by computer imitation trials and Equiprobability models by various Probability models, and distinguished Exclusive Events and Independent Events by examples, and described Variable Distribution by means of various Probability models.

在高三概率复习前夕，进行一次概率测试，在测试分析的基础上，采取有针对性的教学策略，利用计算机模拟试验复习频率定义；用各种模型进行古典定义的教学；运用实例辨析互斥事件与相互独立事件；借助各种概率模型描述随机变量分布列。

Secondly, the combination in concept and problem teaching can enhance profound comprehension of Exclusive Events and Independent Events. Finally, because Distribution is basic knowledge in teaching probability, meanwhile, the calculation for Expected Value and Variance also are based on Distribution. Thus, Distribution is the most important in teaching them, it needs to give more emphasis.

其中计算机模拟手段在概率的频率定义教学中效果明显，并且直观模型在古典概型教学中的作用也相当明显；其次，通过概念教学与解题教学的结合可以帮助学生深刻理解互斥事件与独立事件；最后，随机变量的分布列作为概率基础知识，期望以及方差的计算都是以分布列为基础的，因而，强化分布列的教学是这部分内容的重中之重。

This test method is called integer-variation test, and it is based on the statistical distribution of the fractional part of a random variable multiplied by an appropriate integer.

证明了首项系数为整数的n个独立随机变量和的小数部分的统计分布性质，并证明了当求和个数趋于无穷时的统计分布性质。

The equivalent gradient of the back-slope of the eroded pit near the head of the groyne is less than a critical value of JD,which is related with the rest angle of the scoured out silt under water.

分别考虑了水道流速、土颗粒等效直径、冲刷坑半径、冲刷坑后坡度临界值和水流方向角为相关或独立的非高斯随机参数时的可靠性问题。

The probability model of Extensive Generalized Self-shrinking Generator is constructed. The output time sequences and the output sequences are analyzed: the output time sequences are proved as a homogeneous Markov chain, and the output sequences are independent and identically uniform distributed. The coincidence between the output sequences and some correlation sequences in this generator is given.

然后，建立了泛广义自缩减生成器的概率模型，分析了该生成器的输出时间序列及输出序列的性质，得到了生成器的输出时间序列是一个齐次马氏链，输出序列是独立同均匀分布的随机变量序列，还得到了输出序列与生成器中一些相关序列的符合率。

In the early researches on insurance and finance, the objects were supposed to be independent, identically distributed random variables.

在早期的金融保险等研究中，总将对象视作独立同分布的随机变量。

Let be a sequence of independent and identically distributed random variables,with mean and variance .

Corollary 4.2 设相互独立的随机变量服从同一分布，已知均值为，方差为。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。