样本函数

The new IRS algorithm has greatly improved the approximation performance of the original reduced set method by embedding a new distance metric called image Euclidean distance into the kernel function.

其中，所谓IRS算法是指在精简集算法的核函数中嵌入一种新的距离度量——图像欧式距离——来改善其迭代近似性能，IRS可以有效地生成新的、位于类别边界附近的虚拟样本以增强给定训练集。

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。

By the method of daily objective analysis and EOF analysis, these reasons of sample leading to big forecasting error are analyzed, the characteristic vector field of maximum temperature、minimum temperature、foehn day and all the big forecasting error day is studied, the result is concluded that the major factor in Shijiazhuang area and its country is hardly same, the foehn effect is the important factor causing forecast error.

进而对温度预报误差较大的样本出现原因进行了逐日客观分析，并通过自然正交函数分解方法，对不同情形下石家庄及周边县站极端最高、最低气温EOF分解特征向量场的变化特征对比，推断出影响石家庄及周边县市气温预报偏差的主要因子大致相同，焚风是导致温度预报出现较大误差的重要原因。

The results show that the stock market returns and volatilities in China have long memory and persistence although they are not as strong as that of American stock market; The memory of Shanghai stock is stronger than that of Shenzhen stock; The autocorrelation function of a fractional integration model can fit the sample autocorrelation much well.

结果表明：中国股市收益率与波动性具有长记忆性，尽管收益率的长记忆性不如美国股市强；上海股市的记忆性明显强于深圳股市；分数可积模型较指数衰减自相关函数能更好地拟合样本的自相关系数

Based on the precision and the cost of the relationship between the use of conditional extremum for the function of several variables method to determine when the first sample for sampling with probability proportion to size,the second-simple random sampling,the two-stage sampling is optimal allocation.

本文根据精度与费用之间的关系，利用求多元函数条件极值的方法，确定当第一级抽样为有放回PPS抽样，第二级抽样为简单随机抽样时，二阶抽样的样本容量最优分配。

In contrast to manipulation editing, function editing processes the digital representation of a sampled sound.

与时间剪辑相比，函数剪辑处理以数字形式呈现的样本声音。

Our analysis shows that it is important to have a reasonable yardstick to assess the relative merits of competing models. Based on the viewpoint of a hedger, we recommend the hedging error to be the loss function in judging out-of-sample performance.

我们的分析显示用一个合理的评价标准去衡量不同模型间相对优点是相当重要的，基於避险者的角度，我们建议使用避险误差作为损失函数来评定样本外的绩效。

Using the fuzzy membership model based on support vector data description, the membership values to each input sample is computed according to its distance to the center of the hypersphere with minimal volume containing all objects.

利用一种基于支持向量数据域描述的模糊隶属度函数模型，根据样本到特征空间最小包含超球球心的距离来确定模糊隶属度。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。