Evaluating a Series-Based Semiparametric Test for Additive Separability

2011 ◽  
Author(s):  
Anders Munk-Nielsen ◽  
Jesper Riis-Vestergaard Sorensen ◽  
Karen Keller
Keyword(s):  
Additive Separability

Dispersion Size-Consistency

2022 ◽  
Author(s):  
Brian Nguyen ◽  
Devin J. Hernandez ◽  
Emmanuel Victor V. Flores ◽  
Filipp Furche
Keyword(s):  
Random Phase ◽  
System Size ◽  
State Density ◽  
Structure Theory ◽  
Dispersion Interactions ◽  
Dispersion Energy ◽  
Supramolecular Materials ◽  
Size Consistency ◽  
Additive Separability ◽  
Screening Factor

Abstract A multivariate adiabatic connection (MAC) framework for describing dispersion interactions in a system consisting of non-overlapping monomers is presented. By constraining the density to the physical ground-state density of the supersystem, the MAC enables a rigorous separation of induction and dispersion effects. The exact dispersion energy is obtained from the zero-temperature fluctuation-dissipation theorem and partitioned into increments corresponding to the interaction energy gained when an additional monomer is added to a -monomer system. The total dispersion energy of an -monomer system is independent of any partitioning into subsystems. This statement of dispersion size consistency is shown to be an exact constraint. The resulting additive separability of the dispersion energy results from multiplicative separability of the generalized screening factor defined as the inverse generalized dielectric function. Many-body perturbation theory (MBPT) is found to violate dispersion size-consistency because perturbative approximations to the generalized screening factor are nonseparable; on the other hand, random phase approximation-type methods produce separable generalized screening factors and therefore preserve dispersion size-consistency. This result further explains the previously observed increase in relative errors of MBPT for dispersion interactions as the system size increases. Implications for electronic structure theory and applications to supramolecular materials and condensed matter are discussed.

Disaggregation of excess demand under additive separability

1983 ◽  
Vol 20 (1-3) ◽  
pp. 311-318 ◽  
Author(s):  
H.M. Polemarchakis
Keyword(s):  
Excess Demand ◽  
Additive Separability

scholarly journals Testing Additive Separability of Error Term in Nonparametric Structural Models

2014 ◽  
Vol 34 (6-10) ◽  
pp. 1057-1088 ◽  
Author(s):  
Liangjun Su ◽  
Yundong Tu ◽  
Aman Ullah
Keyword(s):  
Error Term ◽  
Structural Models ◽  
Additive Separability

On the Aggregation of Preferences in Engineering Design

2001 ◽  
Author(s):  
Beth Allen
Keyword(s):  
Engineering Design ◽  
Collaborative Design ◽  
Design Space ◽  
Decision Makers ◽  
Impossibility Theorem ◽  
Von Neumann ◽  
Aggregation Of Preferences ◽  
Ordinal Preferences ◽  
Additive Separability ◽  
Alternative Designs

Abstract This paper considers the possibility for aggregation of preferences in engineering design. Arrow’s Impossibility Theorem applies to the aggregation of individuals’ (ordinal) preferences defined over a finite number of alternative designs. However, when the design space is infinite and when all individuals have monotone preferences or have von Neumann-Morgenstern (cardinal) utilities defined over lotteries, possibility results are available. Alternative axiomatic frameworks lead to additional aggregation procedures for cardinal utilities. For these results about collaborative design, aggregation occurs with respect to decision makers and not attributes, although some of the possibility results preserve additive separability in attributes.

scholarly journals Testing exclusion restrictions and additive separability in sample selection models

2013 ◽  
Vol 47 (1) ◽  
pp. 75-92 ◽  
Author(s):  
Martin Huber ◽  
Giovanni Mellace
Keyword(s):  
Sample Selection ◽  
Selection Models ◽  
Additive Separability ◽  
Exclusion Restrictions

scholarly journals A lattice test for additive separability

2018 ◽  
Author(s):  
Matthew Polisson
Keyword(s):  
Additive Separability

Conditions for Generalized Additive Separability

1996 ◽  
pp. 183-206 ◽  
Author(s):  
W. M. Gorman
Keyword(s):  
Additive Separability

scholarly journals ON THE COMPLETENESS CONDITION IN NONPARAMETRIC INSTRUMENTAL PROBLEMS

2010 ◽  
Vol 27 (3) ◽  
pp. 460-471 ◽  
Author(s):  
Xavier D’Haultfoeuille
Keyword(s):  
Nonparametric Regression ◽  
Regularity Conditions ◽  
Nonparametric Model ◽  
Support Condition ◽  
Completeness Condition ◽  
Control Variate ◽  
Special Cases ◽  
Random Elements ◽  
Additive Separability

The notion of completeness between two random elements has been considered recently to provide identification in nonparametric instrumental problems. This condition is quite abstract, however, and characterizations have been obtained only in special cases. This paper considers a nonparametric model between the two variables with an additive separability and a large support condition. In this framework, different versions of completeness are obtained, depending on which regularity conditions are imposed. This result allows one to establish identification in an instrumental nonparametric regression with limited endogenous regressor, a case where the control variate approach breaks down.

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