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Exact(31)
Substituting the new variable (xi ) into Eqs.
Define a set of random variable, (xi = (m,C)), representing the uncertainty from model material parameters.
A logit model predicts the log of odd ratio of Y from predetermined variable Xi.
The Pearson's correlation coefficient is calculated between each input variable Xi and the output variable Y.
In Eq. 4, we use the change of variable (xi = z - ct,) with c the speed of light.
Where: PC – principal components; n – number of variables; xi – the variables; aij – loading of the variable xi on the principal component j.
Similar(29)
In order to obtain the solution to this problem it is necessary to find the solution of the system of linear inequalities (that is, the set of n values of the variables xi that simultaneously satisfies all the inequalities).
Constraints are linear or nonlinear functions, either explicit or implicit of the design variables (Xi).
To this aim, variables Xi, i = 1,…, n are sequentially simulated in such a manner that Z = h x1,…, xi − 1, Xi,…, Xn) is guaranteed to be in the tail of Z.
Since random variables (xi(n)), (ninmathbf {N}) which satisfy Assumption 1 are identically distributed, sometimes we omit the index n and write, for example, (mathbf {E}|xi|).
If the fuzzy variables (xi(lambda)) and (eta(lambda)) are independent for each (lambdainLambda), then it follows from Theorem 9 that Ebigl[|xieta|bigr]lesqrt{Ebigl[xi^{2}bigr]cdot Ebigl[ eta^{2}bigr]}.
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