scholarly journals EXISTENCE AND CHARACTERIZATION OF CONDITIONAL DENSITY PROJECTIONS

2015 ◽  
Vol 32 (4) ◽  
pp. 947-987 ◽  
Author(s):  
Ivana Komunjer ◽  
Giuseppe Ragusa
Keyword(s):  
Strong Duality ◽  
Efficient Estimation ◽  
Conditional Density ◽  
Conditional Moment ◽  
Simulation Based ◽  
Density Forecasting ◽  
Projection Problem ◽  
Moment Models ◽  
The Moment

In this paper we propose primitive conditions under which a projection of a conditional density onto a set defined by conditional moment restrictions exists and is unique. Moreover, we provide an analytic expression of the obtained projection. The range of applications where conditional density projections are used is wide. The derived results are potentially useful in a variety of areas including: semiparametric efficient estimation and optimal testing in (conditional) moment models, Bayesian prior determination and inference in semiparametric models, density forecasting, and simulation-based econometric analysis.Regarding existence, we propose three different combinations of assumptions that are all sufficient to show that the projection exists and is unique. The proposed conditions exhibit a clear trade off between restrictions put on the divergence between the conditional densities and on the moment function which defines the projection set. Depending on the nature of the application, the researcher can pick and choose which set of conditions to use. Our second set of results characterizes the projection. The expression for the projected density is new though not surprising given the previously obtained results for the unconditional case. The projection is characterized by the dual of the original projection problem. In establishing the strong duality, however, we work with a constraint qualification condition that is weaker than that used by Borwein and Lewis (1991a, 1992a, 1993 in their seminal work concerning the unconditional case.

scholarly journals GENERALIZATION OF GMM TO A CONTINUUM OF MOMENT CONDITIONS

2000 ◽  
Vol 16 (6) ◽  
pp. 797-834 ◽  
Author(s):  
Marine Carrasco ◽  
Jean-Pierre Florens
Keyword(s):  
Hilbert Space ◽  
Reproducing Kernel ◽  
Diffusion Processes ◽  
Generalized Method Of Moments ◽  
Efficient Estimation ◽  
Conditional Moment ◽  
Cross Sectional ◽  
Moment Conditions ◽  
Optimal Estimator ◽  
The Moment

This paper proposes a version of the generalized method of moments procedure that handles both the case where the number of moment conditions is finite and the case where there is a continuum of moment conditions. Typically, the moment conditions are indexed by an index parameter that takes its values in an interval. The objective function to minimize is then the norm of the moment conditions in a Hilbert space. The estimator is shown to be consistent and asymptotically normal. The optimal estimator is obtained by minimizing the norm of the moment conditions in the reproducing kernel Hilbert space associated with the covariance. We show an easy way to calculate this estimator. Finally, we study properties of a specification test using overidentifying restrictions. Results of this paper are useful in many instances where a continuum of moment conditions arises. Examples include efficient estimation of continuous time regression models, cross-sectional models that satisfy conditional moment restrictions, and scalar diffusion processes.

La structure de classes québécoise au 19e siècle et le problème de l'articulation des modes de production

1981 ◽  
Vol 14 (3) ◽  
pp. 487-518
Author(s):  
Gérald Bernier
Keyword(s):  
Census Data ◽  
New France ◽  
Class Structure ◽  
Capitalist Development ◽  
Single Class ◽  
The Moment ◽  
Empirical Demonstration ◽  
Work Done ◽  
The Impact

The study of social classes in the nineteenth century requires the development of conceptual tools able to explain the impact of the Conquest on the pre-existant social structures in determining transformations of the class structure during the subsequent decades.This article examines the work done on this question by Marxist writers. The author criticizes certain conclusions which have been drawn and which suggest deficiencies at a theoretical level. The objections relate to the marked tendency of these conclusions to perceive the structural effects of the Conquest in terms of the formation of a double-class structure characterized by “ethnic origins.” Specifically, the author challenges the notion of the division itself, as well as the criterion on which the division is based.The author proposes that an analysis centred upon the concepts relating to a problem of the transition and linkage of different modes of production permits a more satisfying interpretation, if accompanied by a certain number of considerations of the “upside” and “downside” of the Conquest. To this end, the argument is based on a characterization of New France in terms of the domination of the relations of production of the feudal type and on an analysis of metropolitan centres with intent to evaluate their level of capitalist development at the moment of their respective colonial penetration in Canada. The results of this approach permit one to posit the existence of a single-class structure, characterized principally by the existence of elements connecting diverse modes and forms of production, whose origin reflects the unequal state of economic development in the two metropolitan centres.The empirical demonstration rests on the census data of 1851–1852 and on the complementary information drawn from the works of historians.

scholarly journals One-relator groups and algebras related to polyhedral products

2021 ◽  
pp. 1-20
Author(s):  
Jelena Grbić ◽  
George Simmons ◽  
Marina Ilyasova ◽  
Taras Panov
Keyword(s):  
Homology Group ◽  
Homotopy Theory ◽  
Commutator Subgroup ◽  
Homology Groups ◽  
Homological Characterization ◽  
One Relator Groups ◽  
Combinatorial Condition ◽  
The Moment ◽  
Necessary And Sufficient

We link distinct concepts of geometric group theory and homotopy theory through underlying combinatorics. For a flag simplicial complex $K$ , we specify a necessary and sufficient combinatorial condition for the commutator subgroup $RC_K'$ of a right-angled Coxeter group, viewed as the fundamental group of the real moment-angle complex $\mathcal {R}_K$ , to be a one-relator group; and for the Pontryagin algebra $H_{*}(\Omega \mathcal {Z}_K)$ of the moment-angle complex to be a one-relator algebra. We also give a homological characterization of these properties. For $RC_K'$ , it is given by a condition on the homology group $H_2(\mathcal {R}_K)$ , whereas for $H_{*}(\Omega \mathcal {Z}_K)$ it is stated in terms of the bigrading of the homology groups of $\mathcal {Z}_K$ .

scholarly journals Preliminary Characterization of Wild Grapevine Populations (Vitis vinifera ssp. sylvestris) Grown Along the Danube River

2013 ◽  
Vol 41 (2) ◽  
pp. 472 ◽  
Author(s):  
Carmen F. POPESCU ◽  
Liviu C. DEJEU ◽  
Rafael R. OCETE
Keyword(s):  
Vitis Vinifera ◽  
Morphological Analysis ◽  
Danube River ◽  
Vitis Vinifera L ◽  
Meristematic Tissue ◽  
The Danube River ◽  
Wild Grapevine ◽  
The Moment

The individuals belonging to three different groups of wild grapevines populations Vitis vinifera L. ssp. sylvestris (Gmelin) Hegi harvested along, or near the Danube River, were described by means of usual ampelographic methods. The twenty standardized descriptors used for morphological analysis revealed obvious differentiation among analyzed populations. Out of 65 individuals, a half produced flowers with separate sex and a high proportion of them were males (70%). Pollen measurements on light microscope provided information on differences in pollen size among inside wild grapevine populations of V. sylvestris with the polar length varying between 15.3 and 23 μm and the equatorial length between 15.5 and 24.4μm. The in vitro regenerative potential from meristematic tissue tested with each phenotype showed that the moment of differentiation, the aspect of proliferative structures and the rate of multiplication varied inside these wild grapevine populations, without any correlation with the location of harvesting. Our results provided valuable information about these Vitis vinifera ssp. sylvestris populations, possible to be used as starting plant material for research in general and further breeding of cultivars and grapevine rootstocks.

The Scope of the Conceptual

2012 ◽  
Author(s):  
Stephen Laurence ◽  
Eric Margolis
Keyword(s):  
Natural Language ◽  
Social Practice ◽  
Donald Davidson ◽  
Human Beings ◽  
Conceptual Content ◽  
Michael Dummett ◽  
Contemporary Philosopher ◽  
Conceptual Thought ◽  
The Moment

This article explains different views on concepts, which are among the most fundamental constructs in cognitive science. Michael Dummett argues that nonhuman animals are not capable of full-fledged conceptual thought but only a diminished form of thought, which he calls, proto-thought. Human beings can remove themselves from the moment and can rise above the confined world of current perceptions because of their linguistic abilities. Donald Davidson, a contemporary philosopher, denies that animals are capable of conceptual thought and claim that conceptual content requires a rich inferential network. Donald Davidson made an argument against animals having conceptual thought. Davidson's original formulation of the argument begins with the claim that having a belief requires having the concept of a belief but adds that having the concept of belief requires possession of a natural language. It follows, then, that to have a belief requires facility with natural language. The characterization of the conceptual/nonconceptual distinction that is implicit in Davidson's metacognitive argument is a complex one involving a capacity for belief about beliefs, a concept of belief, and concepts of truth and falsity. Both Robert Brandom and John McDowell argued that conceptual thought requires more than a capacity for detection. They claim that conceptual thought requires the ability to appreciate the reasons that would justify a given concept's application and use, and this, in turn, is inherently a social practice that is dependent on natural language

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