术语“平均差”的详细信息

英译术语:

average deviation

汉语语境:

极差(R)、平均差(AD)和标准差(δ)是描述离散程度所采用的三个测度值，通过证明，三者之间存在着R≥δ≥AD≥0的关系式。通过例证还得知，四分位差(Qd)与它们的关系并不确定。在具体运用三个测度值时，应考虑到各自的优缺点。

英语语境:

Range, average deviation and standard deviation are the three indices of variability that statisticians use to characterize the dispersion among the measures in a given population.By proof, the relationship of R≥δ≥AD≥0 exists among the three indices.Through three examples, we know that the relationship between a quarter deviation(Qd) and them is not determined.When using the three indices of variability in the specific application, we should consider respective advantages and disadvantages.

英译术语:

mean deviation

汉语语境:

度量经济不平等的基尼系数指标目前有几何方法、基尼平均差方法、斜方差方法、矩阵方法,但是它们在现实中计算复杂。我们设计了一种特殊的广义行列式,可以较容易地求解基尼系数,并在此基础上进行了实例分析。

英语语境:

In general, there are about four methods that can work out Gini coefficient in the metric economic unequal: geometric, Gini mean deviation, skew variance and matrix. But these methods are too complicated to operate properly in practice. We design a particular one known as generalized determinant which can easily solve Gini coefficient. On the basis of this method, we analyze some cases.

英译术语:

mean difference

汉语语境:

由于绝对值不是变量的解析函数,不具有方差的良好数学性质;但由于它对极少数极端事件不敏感,因而更具有抗干扰性。在实证研究波动时,更偏向于平均差。我们正是在此矛盾的基础上,通过考虑分布和不考虑分布的两种情况,从理论和应用的不同角度,深入地研究了两者间的内在关系及应用情况,从而为科学合理地利用离散度指标提供新思路。

英语语境:

Because absolute value is not the analytic function of the variable,it does not have good mathematics nature with varianc. But it is not sensitive to a few extreme incidents, so it has even more anti-interference. When the positive research fluctuates, it even agrees more on the mean difference. On the basis of this contradiction, we divide and consider distributing and do not consider two situations of distribution. From the theory and different angles used, we studied the intrinsic relations between the two and its application, thus we then are able to provide scientific and rational use of discrete degree index.