Sentence examples for marginal sum of from inspiring English sources

Next, we express a known, statistically corrected IO table as ({varvec{a}}_1:({varvec{eta }}^A_1, {varvec{theta }}^B_1)), and consider operation R, which calculates a table that transformed its scale from (a_1) to (a_2) by the RAS method conditional on the marginal sum of another IO table ({varvec{a}}_2:({varvec{eta }}^A_2, {varvec{theta }}^B_2)).

Regarding the basis of the orthogonal decomposition, the RAS method changes only the marginal sum and the amount representing the structure therefore corresponds to the RAS invariants.

Although the orthogonal decomposition of the IO tables has so far been considered using a marginal sum and kernel structure matrix, IO tables can also be reconstructed by combining various marginal sums and kernel structure matrices.

For the first (2n-1) vectors, ({varvec{a}}^prime {varvec{b}}_i) corresponds to the marginal sum.

The joint probability of observed sequence fragments and their local alignment to the model will then be an appropriate marginal sum over global alignments.

To decompose the space of an IO table into the scale of the row/column sums (hereafter referred to as the marginal sums) and the space of an industrial structure, we introduce dual and mixed coordinates and perform orthogonal decomposition.

This approach will be termed normal marginals, although, of course, the row marginal sums r 1…r n are discrete by nature; it is the underlying parameters that are sampled from the normal.

Formally, we are interested in computing the sum: where Γ represents the set of all 2 × k contingency tables with the same marginal sums as T and P T) for any table T is defined by Equation 1.

The estimator of the pooled exposure effect is a weighted average of the individual study estimators, weighted by the inverse marginal variances; the marginal variance is the sum of the individual study-specific variances and the variance of the random study effects.

The first conditions mean that the unit price of the good is equal to the sum of marginal contributions of attributes to his/her happiness through his/her functionings.

These long-run marginal costs are the sum of the operation, maintenance and fuel costs and the initial investment expenses, the latter of which are annualized by means of a discount rate which can depend on the scenario used (the scenarios are described in the following section).