Sentence examples for extension of the coefficient from inspiring English sources
We show the existence and possible uniqueness of regression functions, discuss the stability of regression functions under perturbations and approximation of the underlying data, and propose an extension of the coefficient of determination R-squared for assessing the goodness of fit.
The extension of this coefficient to cross-correlations yields the following expression, that will be called the Blomqvist cross-correlation coefficient: begin{aligned} r_{12,B}(h)=frac{1}{T}sum limits _{t=h+1}^{T}sign z_{t-h}-med z))sign(z_{T}sign z_{t-h}-med z
It should be noted that we will adopt the usual extension of the binomial coefficients, that is ( n m ) = 0 for all integers m > n ≥ 0. Lemma 6 Let m and n be nonnegative integers.
The overall similarity between datasets in the set of common samples was measured using a multivariate extension of the Pearson correlation coefficient called the RV-coefficient.
This can be seen as a multivalue extension of the Simple Matching Coefficient [29] between two vectors where: S_{J}(mathcal{S}_{1},mapprox{S}_{SMC}approx {S}_{Sminhashnhash(mathcal{S}_{1}), minhash(mathcal{S}_{2})).
Since it makes no assumption about the type of relationship between X and Y, mutual information is sometimes considered to be an extension of the linear correlation coefficient [97].
The paper describes the extension of the mass transport coefficients by the attractive magnetic forces and repulsive electrostatic forces between the nanoparticles.
However, one typically can construct continuous extensions of these coefficients on the whole Euclidean space.
LD was then estimated using the Hedrick multiallelic extension of Lewontin normalised coefficient D'.
I develop an extension of the theory which connects bias explicitly to coefficient stability.
Using the linear model, different regression coefficients appeared between the extension of the high and medium agro-ecological suitability zones and the number of high and late medieval settlements.
