最后，我们介绍了风险理论中的极限定理。
这就是概率论中第二个基本极限定理的原始初形。
This is the probability limit theorems in the second basic form of the original first.
本文讨论中心极限定理在抽样推断中的若干应用。
Some applications of the central limit theorem in sampling deduction were discussed in this paper.
研究了齐次树指标可列马氏链的一类强极限定理。
We establish the strong limit theorem for countable Markov chains indexed by a homogeneous tree.
本文研究了负相协随机变量列极限定理的若干问题。
In this article, we investigate some problems of the limit theorems of the NA random variables.
本文将建立这类过程的不可微模及有关的极限定理。
The modulus of non-differentiability of this kind of process is established.
用两个例子比较了中心极限定理在应用上的适用性。
Then it takes two examples to compare the results and find it applicable range.
第一章，主要介绍了风险模型和风险理论中的极限定理。
Chapter 1 is mainly about the discrete risk model and its limit theory.
利用分析方法研究了马氏环境中马氏链的若干强极限定理。
The strong limit theorems for Markov chain fields indexed on the arbitrary Bethe tree are studied.
最后，利用鞅大数定律和中心极限定理对参数作了假设检验。
At last, by martingale large number theorem and central limit theorem, we study the hypothesis testing of parameters.
证明中应用了研究马尔可夫链强极限定理的一种新的分析方法。
In the proof a new analytic technique in the study of the strong limit theorems for Markov chains is applied.
导数极限定理可以引出左(右)导数极限定理、区间端点导数极限定理。
The derivative limit theorem may draw out the left (right) derivative limit theorem and about the region end point.
以伪均匀随机数为基础，根据大数中心极限定理，产生高斯分布随机数。
Based on pseudo random uniformity number and the central limit theory of great numeral, random Numbers of Gaussian distribution are produced.
涉及的概率极限定理包括强大数律，收敛速度，依分布收敛和大偏差原理。
Probability limit theorems surveyed mainly involved strong laws of large Numbers, rates of convergence, convergence in distribution and large deviation principles.
摘要指出并分析了目前国内概率论教材中中心极限定理部分存在的一个问题。
A problem in teaching of central limit theorem is discussed in this paper.
本文主要研究随机递归树和随机二叉搜索树上与分支和子树相关的极限定理。
Some limit laws for the branches and subtrees in a random recursive tree and binary search tree are established in this dissertation.
依据中心极限定理，用均匀分布随机数求和的方法得到趋于高斯分布的白噪声。
White noise tending to Gaussian distribution is implemented by summing uniformly distributed random numbers according to the central limit theorem.
讨论了强平稳NA序列的随机指标中心极限定理，给出其成立的一个充分条件。
A sufficient condition of the central limit theorem is given for strongly stationary NA random variables.
定义中心极限定理，并且理解其在置信区间、控制图等统计推断应用中的意义。
Define the central limit theorem and understand its significance in the application of inferential statistics for confidence intervals, control charts, etc.
在广义帕累托分布模型中，门限值过小，极限定理不成立，得到的估计是有偏的；
In GPD model, a too low threshold will get biased estimates because the limit theorem does not apply.
研究任意随机适应序列部分和的一类局部极限定理，推广了最近发表的几个结果。
In this paper, we establish a class of local convergence theorems for partial sums of arbitrary stochastic adapted sequences which extend some new published results.
介绍了用多项式根的性质与导数极限定理求分段函数在分界点的导数的简单方法。
The paper introduces the property theorem about roots of polynomial and the derivate limit theorem, by which we can study the derived number of a break point of piecewise function.
研究了此链的泛函的极限性质，得到了一类不同于通常强大数定律的强极限定理。
Furthermore, their functional limit properties are studied and a class of strong laws of large Numbers different from usual ones are obtained.
以往关于生物种群增长的数学模型多是用微分方程和概率极限定理的方法来推导的。
Differential equation and probability limit theorem have been widely used in the mathematical model of biological population growth.
主要研究任意随机序列在随机选择系统中的随机条件概率其调和平均的强极限定理。
The strong limit theorems on the arbitrary stochastic convergence for the harmonic mean of the random conditional probabilities in the random selection system is studied.
给出了幂指函数极限定理，对求幂指函数极限的方法进行了讨论，并给出一些应用实例。
The paper provides the theorem of the limit of combination of power and exponent function, which gives us a new method to work out the limit of this kind of function.
给出了幂指函数极限定理，对求幂指函数极限的方法进行了讨论，并给出一些应用实例。
This paper mainly introduces the method of power exponential function to find out the result of limit in the form of theorem.
概率论继他们之后，其中心研究课题则集中在推广和改进伯努利大数定律及中心极限定理。
Probability of following after them, its central research topics are focused on promoting and improving the Bernoulli law of large Numbers and central limit theorem.
概率论继他们之后，其中心研究课题则集中在推广和改进伯努利大数定律及中心极限定理。
Probability of following after them, its central research topics are focused on promoting and improving the Bernoulli law of large Numbers and central limit theorem.
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