术语“众数”的详细信息

英译术语:

mode

汉语语境:

在众数计算应该具备的两个假设和两个性质的条件下，常用的众数计算公式得到的结果只考虑了众数组及其前后两组，因此具有一定的局限性。一种考虑全部组频次的众数计算公式可以得到考虑更为全面的结果，并且这种计算公式也具有原公式所具有的一切良好属性。结合实例可以发现改进后的众数计算公式可以得到更佳的结果。

英语语境:

On the condition that the calculation of mode has two assumptions and two properties, the results from common calculation formulas of mode have only considered the mode group as well as its front and rear group; therefore, it has certain limitations. A more fully considered result can be acquired by using an calculation formula of mode which considers the frequency of all groups, and this calculation formula has all good attributes that the original formula has. Combining with examples, it can be found that the improved calculation formula of mode can generate better results.

英译术语:

modal score

汉语语境:

研究了基于平稳α—混合左删失数据下密度函数一阶、二阶导数的核估计及众数核估计，在一定的条件下获得了导数核估计量的强一致收敛性、收敛速度及众数核估计量的渐近正态性；同时给出了众数估计的置信区间，最后，研究者通过数据模拟显示了主要结论的合理性。

英语语境:

The kernel estimator of the first and second derivative of density function and the kernel mode estimators under left-truncated and stationary α-mixing sequence are studied. Under certain conditions, the strong uniform convergence and convergence rate of derivative kernel estimator as well as the mode estimator of asymptotic normality are attained. Meanwhile, the confidence interval of the mode estimator is given. Finally, the researcher demonstrates the rationality of the main conclusions through numerical simulation.