假设检验

The asymptotic property of the modified supremum-type statistic and the integral-type statistic under the composite null hypothesis are derived.

对上界型检验统计量，研究了与之有关的一个极限性质；对积分型检验统计量，证明了其在复合零假设下的渐近分布。

However, in some situations, models are hard to satisfy these assumptions at the same time. We meet a number of random errors with serial correlation and heteroscedasticity in practical problems. The rationality of these assumptions for random errors is doubtable. Therefore, it is necessary to test for correlation and heteroscedasticity in regression, which is an important step of dealing with regression problems and plays an important role in theory and practice.

但实际问题中，回归模型很难同时满足Gauss-Markov的三个假设，人们在实际问题中发现许多随机误差出现序列相关和方差不同的现象，因此对回归模型的随机误差的独立性和方差齐性的假设产生了质疑，从而展开了回归模型的相关性和异方差检验的研究，它是处理回归问题的重要步骤，在理论和应用上都有十分重要的意义。

The early failure is judged and the validation test is assumed to obey the exponential distribution.

介绍了在正常应力下对家用微波炉的寿命试验及运用 F-检验判定异常小寿命数据的方法，以判定早期失效，对试验数据作指数分布假设下的有效性检验，估计样品的平均寿命，提出可靠性改进措

In the study of the asymptotic properties, the testing statistics converges to a zero mean Gaussian process and is very sensitive to the to the local alternatives converging to the null one at a parameter convergent rate.

研究发现，文中的检验统计量在原假设下渐近收敛于一个零均值的高斯过程，并且对以参数速度收敛到原假设的被择分布特别敏锐。

The results will provide a certain theoretical basis for nonparametric likelihood ratio goodness of fit test with estimated parameters.

所得结论可以为进一步讨论复合零假设下非参似然比拟合优度检验提供理论基础。关键词加权经验过程，估计参数，拟合优度检验。

By dropping this assumption of fixed topology and metric, one can investigate alternative theories within differential geometry that yield an appropriately changing topological structure, and search for and check its testable consequences.

通过抛弃这一拓扑与量度确定不变的假设，在一个能生成一种适当的变化性拓扑架构的微分几何学之中，我们就可以探究其他的理论并寻找与检验其可检验的结果。

Taken Qinshui Basin as an example a predictive model of gas content is established by multiple stepwise regression analysis, using Langmuir volume and gas saturation as its parameters. The result of multiple correlation coefficient testing, F-testing and t-testing indicates that the model meets the hypothesis testing of linearity and its matching effect is preferable.

以沁水盆地为例，运用多元逐步回归分析方法，建立了以Langmuir体积和含气饱和度为参数的含气量预测模型；复相关系数、F检验、t检验结果表明，该模型满足线性与方差齐性的假设，拟合效果较好。

In order to detect the nonlinear determinism, the method of surrogate is employed. The null hypothesis that a real system response is from a stationary Gaussian linear process distorted by an invertible, static, nonlinear measurement function is made and tested.

采用替代数据法对实际房间声学系统的非线性确定性进行检测，假设实际系统响应是由平稳高斯随机过程经可逆、静态的非线性函数变换而得到，然后对该假设进行检验。

Hypotheses were developed based on information-processing and decision-making theory and were tested with an ordered probit analysis on a sample of 100 start-ups backed by venture capital.

假设建立在信息处理和决策的理论基础之上，并对100个由风投支持的初创公司样本进行了规范的概率分析以检验假设。

Based on above analysis, we postulate hypothesis and conjecture.

基于以上分析，我们提出本章的可检验的假设及基于假设基础上的推测。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。