Estimating the Upper Support Point in Deconvolution

Abstract.  We consider estimation of the upper boundary point F ⁻¹ (1) of a distribution function F with finite upper boundary or 'frontier' in deconvolution problems, primarily focusing on deconvolution models where the noise density is decreasing on the positive halfline. Our estimates are based on the (non-parametric) maximum likelihood estimator (MLE) of F . We show that (1) is asymptotically never too small. If the convolution kernel has bounded support the estimator (1) can generally be expected to be consistent. In this case, we establish a relation between the extreme value index of F and the rate of convergence of (1) to the upper support point for the 'boxcar' deconvolution model. If the convolution density has unbounded support, (1) can be expected to overestimate the upper support point. We define consistent estimators , for appropriately chosen vanishing sequences ( β _n ) and study these in a particular case.     

Variétés de capitalisme ou entrepreneurs institutionnels? Une application aux cas de la sous‐traitance et de la formation de la main‐d'œuvre au Québec

Based on the theory of institutional entrepreneurs, this article examines the coexistence of different forms of governance within a given economic space. Since the approach based on models of capitalism does not make it possible to account for this institutional diversity on the same territory, a theoretical perspective centred on the innovative action of social actors has been used to explain such a phenomenon. Our demonstration is based on a comparative analysis of two recent cases of transformation of public labour policies in Quebec: outsourcing and labour force training. These two major contemporary employment relations issues which are part of the same environment, have brought into play the same social actors in very similar institutional frameworks and have nevertheless led to contrasting dynamics and results. The actor's autonomy, more than a model, allows us to understand the different institutional trajectories that have thus been adopted.