在原假设下得到检验统计量的极限分布。
Under null hypothesis, the limit distributions of statistics are obtained.
为构造变点的置信区间给出了变点的极限分布。
To construct confidence interval, the limiting distribution of change-point estimator is obtained.
论文得到了球形检验的似然比准则，它的渐近展开与极限分布。
The likelihood ratio criterion of sphericity test, its asymptotic expansion and limiting distribution are obtained.
证明估计的强相合性和渐近正态性，给出似然比检验统计量的极限分布，并讨论基于精确分布的检验问题。
The limit distributions of estimators and likelihood ratio test are given, the strong consistency of estimators is also proved.
在平均值为零或平均值为已知的季节时间序列模型中，根据加权对称估计量提出季节单位根的检验统计量，并求出此统计量的极限分布的表达式。
In this article, we propose seasonal unit root test statistics based on the Weighted Symmetric estimator and derive representation for limiting distributions of the statistics.
如果考虑另外一个极限，即温度很高，那么分布就会趋于平滑。
If you go to the other extreme, of very high temperature, then this will tend to flatten out.
这意味着，在虚假设条件下，观察到X平方分布极限值 9.80的概率是 2％（这是一个相当低的概率）。
This means that the probability of observing a Chi Square value as extreme as 9.80 under the null hypothesis is 2 percent (which is quite a low probability).
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.
系统地计算了从轻到重的一系列元素极限温度的同位素分布，并从中抽取出热核的热稳定曲线。
We systematically calculated the isotope distributions of limiting temperatures for a series of nuclei from light to heavy nuclei, and obtain a thermal stability line for hot nuclei.
运用中心极限定理对空气捻接器的使用情况进行分析，明确了空气捻接器的使用分布情况，得出了空气捻接器耗气量的统计数据。
According to the central limit theorem the writer analyses the using case of air splicer and clarifies the using distribution of air splicer obtains the statistic on air consumption of air splicer.
方法以统计学的正态分布与中心极限定理为理论基础，结合免疫进化的思想，提出免疫控制图原理及学习算法；
MethodsBased on the theory of normal distribution and central limit theorem of the statistics, the immune control chart is proposed, which combines the immune idea.
根据实测资料，给出了全级配混凝土大试件和与其对应湿筛后混凝土小试件拉伸极限应变的概型分布；
On the basis of test data, this paper gives the probability distributions of the limit tensile strain of large full graded samples and small wet screened ones.
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.
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.
对计算得到的轮包成形极限图、应力应变分布图进行了分析，并采用基于网格分析法的物理实验验证了有限元建模的可靠性和正确性。
The validity of modeling, the accuracy and reliability of simulation results for stamping forming processes of hubcap are affirmed on the basis of grid strain analysis technique.
建立了采样点均匀分布情况下，圆度误差测量采样点数量与测量极限误差之间的定量关系数学模型。
Under the situation of even distribution of fitting nodes, a mathematic model is established by means of the relation between the number of fitting nodes and the limit error of measurement.
以无限大板状体为例求解全空间电场分布，提出探厚比概念以讨论超前探测极限问题。
Taking the infinite plate for instance, the distribution of electric field in full space is solved and detection-thickness ratio is presented to discuss the limit of advanced detection.
研究表明，短柱在火灾下与火灾后的极限承载力随升温时间的增加而剧减，承载力与温度场的分布基本上成线性关系。
The study concluded that the capacity of CCFT decreased sharply with the increase of fire time and the capacity was almost directly proportional to the temperature distribution.
利用自动测试分析系统(ASAME)测量两种薄钢板的成形极限，得到分布较紧密的成形极限带。
The forming limitation of two sheets were measured by using Automated Strain Analysis and Measurement Environment (ASAME) and the compact forming limit belts were obtained.
宝钢1420电镀锡机组在高速生产极限规格产品时，对中央段张力的控制方式、控制精度以及分布情况有严格的要求。
The proper tension control method, precise and distribution are greatly needed for 1420 Electrolyte Tinning Line (ETL) of Baosteel when extreme-dimensioned production is being produced.
结合传热模型计算的温度分布和普遍使用的临界固相率、极限固相率，得出了轻压下的压下区域。
From the results of heat transfer model, generally used critical solid fraction and limit solid fraction, the soft reduction zone was obtained.
结果表明：最大应力值接近铝合金车轮的强度极限，充分利用了材料，有效的减轻了重量，应力分布更加合理。
Therefore, this design makes material sufficiently used, the weight of road wheel effectively lightened. at the same time, stress distribution is more reasonable.
可靠指标与极限状态方程中的各基本变量的变异性、抗力的概型分布、以及活荷恒荷效应比有关。
Reliability index is influenced by the variance of basic parameters, resistance distribution, and ratio of live load to dead load.
研究了在三种极限条件下位相几率分布函数的动力学性质、位相涨落、粒子数—位相的最小不定关系等问题。
In the three kinds of limit conditions, the properties of the dynamics of the phase probability distribution, the phase fluctuation and the number - phase minimum uncertainty relation are studied.
利用分析中的极限理论等方法，证明了重尾分布的这两种定义是一致的，并给出了重尾分布子族间的相互关系。
The authors have proved that the two types of definitions are congruous by using limit theory, while discussing the correlation among the subclasses of heavy-tailed distributions.
采用金属材料微元屈服极限随机分布模型，计算出每次循环产生的微观塑性应变，并与用单调拉伸试验确定的材料真实断裂延性联系起来。
Randomly distributed models of micro-plastic strains were used to calculate the micro-plastic deformation produced at each cycle of the steel under high cycle fatigue test.
结果表明：在极限静载荷工况下，内、外圈相对偏斜对关节轴承的应力场分布产生明显影响；
The results indicate that the tilting of inner and outer ring has obviously influence on the stress distribution under limiting static load conditions.
利用分析中的极限理论等方法，证明了重尾分布的这两种定义是一致的，并给出了重尾分布子族间的相互关系。
The authors have proved that the two types of definitions are congruous by using limit theory while discussing the correlation among the subclasses of heavy-tailed distributions.
利用拟合的分布控制行程时间的中心线、上下限，从而对行程时间的可接受极限值进行界定，对道路网行程质量进行控制。
The range of acceptable traveltime can be obtained through the center, upper and lower bounds controlled by fitting distribution in quality control.
利用拟合的分布控制行程时间的中心线、上下限，从而对行程时间的可接受极限值进行界定，对道路网行程质量进行控制。
The range of acceptable traveltime can be obtained through the center, upper and lower bounds controlled by fitting distribution in quality control.
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