This article presents five concise proofs of theorems on probability theory, mathematical statistics and stochastic processes. The proofs are more comprehensible and simpler than conventional ones.
本文裒集概率论、数理统计、随机过程若干定理的简捷证法，共五款。
Earthquake ground motions are modeled as stochastic processes.
地震地面运动被模拟成随机过程。
Some important results of stationary stochastic processes are extended to fuzzy stochastic processes.
将平稳随机过程的若干理论结果推广到模糊随机过程。
The convergences of several genetic algorithms are studied by using Markovian chain theory in stochastic processes.
用随机过程论中的马尔克夫链理论研究了几种遗传算法的收敛性。
It helps to construct the risk model in the light of the instrument of stochastic processes and to study the problems of ruin probability and adjustment coefficient.
最初主要是借助随机过程理论来构造保险经营中的余额过程，并研究其破产概率、调节系数等问题。
Courses in this field include probability theory, linear statistical models, and stochastic processes.
这个领域的课程包括概率论，统计线性模型，和随机过程。
To characterize the properties and construction of multipfractal products of stochastic processes is important for capturing the traffic behavior at all time scales.
研究统计过程的复分形结构及其特征属性是研究网络业务全尺度下的行为的重要内容。
Earthquake motions are regarded as the typical non-stationary stochastic processes, and such non-stationary characteristics influence the structural response greatly.
地震动是典型的非平稳随机过程，其非平稳特性对结构响应影响极大。
The relations between spectrum densities of system output responses and frequency were obtained by assuming input functions to be ergodic and stable stochastic processes.
假设输入函数为各态历经的平稳随机过程，得出各输出响应的谱密度与频率的关系。
In this paper we introduce the concept of continuity of a fuzzy sample function, and solve the basic theoretical problem of continuity of fuzzy stochastic processes successfully.
本文首次引入了模糊样本函数的连续性的基本概念，并且成功地解决了模糊随机过程的连续性这一最基本的理论问题。
The research of random fractal, an overlapping subject of probability and fractal, is focused on two respects: the random recursive sets and the sample paths of stochastic processes.
随机递归集和随机过程样本轨道的分形性质则是其两个重要的研究方向。
Based on the principle of Brownian motion, the ore drawn stochastic processes are analyzed and the probability density equation of loose bodies is thoroughly discussed and given in this paper.
通过对放矿随机过程的分析，提出了以布朗运动为理论基础的放矿过程散体颗粒移动的概率密度方程。
From the orthogonality principle in liner mean square estimation of stochastic processes, the sea factor obtained at a project site can be estimated by that at some routine hydrographic station.
依据随机过程线性均方估计的正交原理，可由水文站获得的海洋要素估计工程点的海洋要素。
Using the methods of time series spectral analysis and Kalman filter, this article discussed the additive problems of two stochastic processes, mainly Auto Regression Moving Average (ARMA) processes.
本文利用时间序列谱分析和卡尔曼滤波的方法讨论了两个随机过程，主要是自回归滑动平均(ARMA)过程，的叠加问题。
Then each correlative sequence of this generator is analyzed by the knowledge of Probability, Stochastic Processes, Feedback Shift Register, etc.
然后综合利用概率论、随机过程、移位寄存器理论等知识分析了该生成器各相关序列的性质。
Then each correlative sequence of this generator is analyzed by the knowledge of Probability, Stochastic Processes, Feedback Shift Register, etc.
然后综合利用概率论、随机过程、移位寄存器理论等知识分析了该生成器各相关序列的性质。
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