样本分布

It is usual to estimate the error variance in the existing method of second order character.

现行的二阶特征算法通常是对方差的估计，算法存在共同的局限性，即假定样本中不含有显著误差，并且服从正态分布。

By using the kernel-type density estimation in the case of identically distributed and negatively associated samples, the empirical Bayes test rules for the scale exponential family are constructed, and the asymptotically optimal property is obtained.

本文利用同分布负相协样本情形概率密度函数的核估计构造了刻度指数族参数的经验Bayes检验函数，并获得了它的渐近最优

In the case of NA samples, the parameter for scale exponential family is discussed using empi- rical Bayes methods. Moreover, we investigate the statistical analysis of life data in reliability tests. Firstly, based on the LINEX loss function, we obtain the empirical Bayesian estimator for parameter of the one-side truncated-type distribution families and the scale exponential family under NA samples, also discuss the estimators?

在非对称的LINEX损失函数下，我们首先给出了一类单边截断型分布族、刻度指数族参数的经验Bayes估计NA样本情形），并讨论了该估计的收敛性质，在某些条件下，证明了本文给出的经验Bayes估计是渐近最优的，且给出了收敛速度。

Combining NA samples the EB estimation with convergence rates is also obtained; Thirdly, for one-parameter exponential distribution family, we give the parameters' EB estimator that is admissible and asymptotically optimal with convergence rates. Finally, Bayesian and hierarchical Bayesian approaches are applied to analyze the reliability performances for series system with cold standby units and the numerical simulation results show that multiple Bayes estimator is superior to Bayes estimator.

其次，针对一类双边截断分布族，在非对称linex损失下构造了经验Bayes决策函数，建立了它的收敛速度，给出了渐近最优的证明；并结合NA样本研究了参数的经验Bayes估计及其收敛速度；接着给出了指数族参数的经验Bayes估计，证明了它是渐近最优的，也是可容许的，同时也获得了该EB估计的收敛速度；最后，运用Bayes与多层Bayes方法研究了具有冷贮备部件串联系统的可靠性指标的估计，并给出了数值模拟结果，结果表明多层Bayes估计优于Bayes估计。

The experimental results show that the distribution founction p of the whole signal group and the different pulse width subsets all fit the lognormal distribution with very high precision in the amplitude's field of definition (V0,VM) under the condition of the big samples, which indicates that the random signal group has the statistical fractal (self-similarity) characteristic.

实验数据表明，在大样本条件下，脉冲信号集合整体及不同脉宽信号子集的p 函数在幅度定义域(V0，VM)内均以很高的精度满足对数正态分布形式，即该随机脉冲信号群具有统计分形特征。

This method is much efficiency in test finite sample financial time series data with non-Gaussian disturbances.

该检验方法对于具有非高斯分布扰动项的有限样本金融时间序列的检验非常有效。

From statistics, the theorem that the distribution of sample means taken from a large population approaches a normal, Gaussian, curve.

根据此定理，统计抽样的样本量越大，则随机选择的样本平均值越接近于正态分布。

Besides, considering the differences of the galactic gravitational potential models, there is different influence for the distribution morphologies of all of the orbital parameters of the selected sample clusters .

此外，不同的银河系引力势模型对所选样本的轨道参数的分布形态也有不同程度的影响。

Finally, selecting group classification data of fracture rock and gritstone stratum in the real grouting project, a part of them was used to train set of SVM, and others were used to check the classification effect.

最后，选取大理岩石和砂质板岩地层的部分灌浆实验数据样本建立灌浆地层的分类模型，用其他未训练的同分布的新数据进行地层识别验证。

This study was undertaken to evaluate MLNs in a wide range of specimens to clarify their incidence, distribution, relation to age and underlying disease, and histogenesis.

本研究的目的就是在大样本中评估MLNs，阐明其发生率、分布规律、与年龄和潜在疾病的关系，以及组织发生。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。