On the existence of generalized inverse estimators in a singular system of equations
β Scribed by Phoebus J. Dhrymes; Samuel Schwarz
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 565 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0277-6693
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β¦ Synopsis
This paper deals with estimation problems in the context of singular systems of equations. It provides the necessary and sufficient conditions for the existence of restricted estimators as a routine extension of the standard theory of restricted least squares estimation. The paper also provides the means for carrying out tests of hypotheses on subsets of restrictions imposed on the system by explicitly providing an expression for the (appropriate) Lagrange multipliers.
π SIMILAR VOLUMES
We consider the nonlinear singular differential equation where Β΅ and Ο are two positive Radon measures on 0 Ο not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the
The paper deals with an initial boundary value problem for the system of equations describing suspension motion in the case of specular reflecting boundary of the domain. A definition of a global generalized solution of Hopf class is given and its existence proved.
## Abstract We consider a linear system of Boltzmann transport equations. The system models charged particle transport in tissue, for example. Although only one species of particles, say photons, is invasing these particles mobilize electrons and positrons. Hence in realistic modelling of particle