Sentence examples for definition of variance from inspiring English sources
In addition, we give a modified definition of variance explained by the sparse PCs.
According to definition of variance and formula (16), the following result can be obtained: Var = E X − E X 2 ≤ E X − a + b 2 2 ≤ E b − a + b 2 2 = b − a 2 2 (17).
The variance of this estimator can be obtained by the application of the definition of variance, begin{array}rcl@ Vleft[!hat{mathcal{F}}^{1}right] &=& int frac{f^{2}(x)}{ sum_{k=1}^{n} alpha_{k} p_{k}(x)} {mathrm{d}}x - mu^{2}.
This permits very flexible definition of variance structure models.
Their approach is a generalization of Gini's definition of variance or likeability for categorical data, which is also known as Gini's index [ 28- 33].
Note that definition (4) extrapolates the variance from standard unbiased definition of variance when v X = v ― EE μ and is equivalent to the definition from likelihood maximization when v X > > v ― EE μ.
Chen and Tan [9] further studied the definitions of variance and covariance in multiplication of fuzzy variables, which were applied in portfolio to build possibilistic models for better selection under an uncertain situation.
However, they did not use the classical definition of dominance variance and consequently their dominance variance might be slightly over-estimated.
According to the definition of the variance for fuzzy variables, in this section, we present a calculation of the variance for three kinds of commonly used fuzzy variables, that is, the symmetric triangular fuzzy number, the asymmetric triangular fuzzy number, and the Gaussian fuzzy number.
The usual definition of dominance variance (e.g., [ 33]) does not include the effect of variation in inbreeding and we have followed that practice.
