This paper demonstrates the feasibility of constructing a supply-determined top-down econometric model for a Philippine region. The specification, estimation, historical simulation, and ex-post forecast of the model for Region 7 (Central Visayas) are presented. The simulations show that the...

Implementable linear programming models have been developed for the allocation of family planning resources in developing countries. These models minimize births over a planning horizon subject to resource constraints. This choice of the objective function leads to nonpositive shadow prices,...

In the multiple regression model y= xƒÒ + ƒÕ, the coefficient vector ƒÒ may be estimated by minimizing the sum of absolute errors (MSAE). This papers shows the following results under MSAE estimation: (1) If k coefficient ƒÒj are nonzeros, then the estimated regression equation...

Let K(M) denote the set of all q „¡ Rn such that the linear complementarity problem LCP(q,M) has a complementary solution. We show that (a) M is an S-matrix iff there is a q0 „¡ K(M) such that q0 < 0 and (b) M is a Q-matrix iff M is a Q0-matrix and an S-matrix.

This paper is concerned with the class L* of nxn real matrices M for which the linear complementarity problem, w = Mz + q, w, O, z 0, wTz = 0, has a unique complementary solution for each q such that 0 „ q „ 0. It is shown that (a) L* lies strictly between L* and L1, the classes of strictly...

Given a linear economic model y* = ðx + b were y* is a prescribed goal vector, a linear programming problem can be used to determine the existence and uniqueness of a nonnegative instrument vector x that attains the goal and obtain such a vector if it exists. If the system y* = ðx + b does not...

This paper presents the results of the estimation and historical simulation of a system of top-down regional econometric models for the regions of the Philippines. The structure of the model ensures that the regional forecasts will be consistent with the national forecasts. The dynamic...

Quasiconcave functions are characterized by the convexity of the upper level sets. It is natural to ask what additional properties are required to characterize explicitly quasiconcave functions, (which contain the strictly quasiconcave functions). We show that these additional properties can be...

This paper shows that a necessary condition for strict quasiconcavity is that each level set is contained in the boundary of the associated upper level set. This condition and the strict convexity of upper level sets are sufficient for strict quasiconcavity and are also necessary when the...

A dynamic linear programming model has been devised for a family planning program offering five contraceptive methods. It can be used to test the consistency of family planning program plans and to select future goals consistent with projected resources together with the optimal strategy for...