Statistical Matching Theory

Author(s):  
Péter Csikvári
Technometrics ◽  
2007 ◽  
Vol 49 (3) ◽  
pp. 361-362
Author(s):  
Andreas Karlsson

Author(s):  
Britta Gehrke ◽  
Enzo Weber

This chapter discusses how the effects of structural labour market reforms depend on whether the economy is in expansion or recession. Based on an empirical time series model with Markov switching that draws on search and matching theory, we propose a novel identification of reform outcomes and distinguish the effects of structural reforms that increase the flexibility of the labour market in distinct phases of the business cycle. We find in applications to Germany and Spain that reforms which are implemented in recessions have weaker expansionary effects in the short run. For policymakers, these results emphasize the costs of introducing labour market reforms in recessions.


Author(s):  
Monica Jamali-Phiri ◽  
Juba Alyce Kafumba ◽  
Malcolm MacLachlan ◽  
Emma M. Smith ◽  
Ikenna D. Ebuenyi ◽  
...  

2021 ◽  
pp. 1-37
Author(s):  
Florian F. Gunsilius

The theory of optimal transportation has experienced a sharp increase in interest in many areas of economic research such as optimal matching theory and econometric identification. A particularly valuable tool, due to its convenient representation as the gradient of a convex function, has been the Brenier map: the matching obtained as the optimizer of the Monge–Kantorovich optimal transportation problem with the euclidean distance as the cost function. Despite its popularity, the statistical properties of the Brenier map have yet to be fully established, which impedes its practical use for estimation and inference. This article takes a first step in this direction by deriving a convergence rate for the simple plug-in estimator of the potential of the Brenier map via the semi-dual Monge–Kantorovich problem. Relying on classical results for the convergence of smoothed empirical processes, it is shown that this plug-in estimator converges in standard deviation to its population counterpart under the minimax rate of convergence of kernel density estimators if one of the probability measures satisfies the Poincaré inequality. Under a normalization of the potential, the result extends to convergence in the $L^2$ norm, while the Poincaré inequality is automatically satisfied. The main mathematical contribution of this article is an analysis of the second variation of the semi-dual Monge–Kantorovich problem, which is of independent interest.


2015 ◽  
Vol 46 (6) ◽  
pp. 785-810 ◽  
Author(s):  
Rachel M. McLaren ◽  
Andrew C. High

Although the supportive communication people receive from others during stressful times can be helpful, it can also result in negative outcomes. One explanation for these different effects might be how closely the support people receive matches their desires. This study extends optimal matching theory and examines how the discrepancy between the support people want and what they receive (called support gaps) corresponds with hurt feelings, perceived negative relational consequences, and esteem improvement. People can either receive less support than the desire (i.e., be under-benefited) or receive more support than they desire (i.e., be over-benefited), and these different types of support gaps produce distinct patterns of results. Specifically, action-facilitating support, which includes informational and tangible support, and nurturant support, which includes emotional, esteem, and network support, were studied. Results showed that being over-benefited in informational support and being under-benefited in emotional and esteem support is hurtful, and hurt corresponded with negative relational consequences and reduced esteem improvement. Implications for research on support gaps and hurt feelings are discussed.


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