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Sobolev Estimation of Approximate Regressions

近似回归的 Sobolev 估计

This paper focuses on the estimation of an approximated function and its derivatives. Let us assume that the data-generating process can be described by a family of regression models , where a is a multi-index of differentiation such that D α ϕ(x i ) is the αth derivative of ϕ( x i ) with respect to x i . The estimated model is characterized by a family D α f(X i |θ), where D α f(X i |θ) is the αth derivative of f(x i ,|θ) and θ is an unknown parameter. The model is in…

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Comparing Fourier and translog specifications of multiproduct technology: Evidence from an incomplete panel of French farmers

多产品技术的傅里叶与超越对数设定比较:法国农户不完整面板证据

Selecting a functional form for a cost or profit function in applied production analysis is a crucial step in assessing the characteristics of a technology. The present study highlights differences in the description of a technology which are induced by fitting a Fourier or a translog cost functions. On average, both forms provide similar information on the technology. However, estimation results and statistical tests tend to favour the Fourier specification. This is mainly…

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Real-time pricing of electricity for residential customers: Econometric analysis of an experiment

居民用电实时定价:一项实验的计量分析

Under real-time pricing, a network operator sets the price level for a period according to a predefined scheme which depends on the state of demand and costs, and announces this price shortly before the period begins. The French state-owned electric utility experimented with a six-rate real-time tariff, which divides the year into three types of days and each day into two periods. The number of days of each type is known in advance to the consumer, but the type of any…

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Survey evidence on the rationality of expectations

关于预期理性的调查证据

Abstract Data on expectations collected by business surveys offer the opportunity to test the rational expectation hypothesis. Tests directly based on qualitative data are not powerful because of the nature of the data. An alternative method is proposed in this paper. We apply the usual orthogonality conditions of rationality to the unobservable variables which are assumed to trigger the categorical responses of surveys when they cross certain thresholds. To implement the…

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