Although the idea of measuring productive efficiency goes back to Farrell [8], the econometric estimation of it began with Aigner, Lovell, and Schmidt [1] and Meeusen and van den Broeck [17]. In Aigner, Lovell, and Schmidt [1] and Meeusen and van den Broeck [17], and their extensions which incorporate either cost minimizing or profit maximizing behavior, efficiency is measured relative to a frontier. An alternative to the frontier approach that started with Hopper [10] and Lau and Yotopoulos [15], is to measure efficiency (mostly allocative) without estimating any frontier. In the latter approach, allocative inefficiency (defined as the deviations of the first order conditions of profit maximization or cost minimization) is modeled through shadow (virtual) prices which are parametric functions of observed prices. The shadow price approach is extensively used in the literature on efficiency measurement because it has an advantage over the frontier approach, which requires distributional assumptions on the error terms-especially in cross sectional models. In empirical studies on the efficiency of regulated utilities, it has been argued that due to the presence of rate of return and other regulations, these firms optimize with respect to shadow prices instead of observed prices. These studies often fail to consider the possibility that the firms under question may be technically inefficient as well, which can affect allocation of inputs.1 This issue is important in both cost minimization and profit maximization cases. This paper uses a profit maximization framework and develops a generalized profit function approach that accommodates both technical and allocative inefficiencies in the context of a panel data model. The relationship between production technical inefficiency (loss of output due to technical inefficiency) and profit technical inefficiency (profit loss due to technical inefficiency) is derived for a flexible production function. Presently, it is believed that the derivation of this relationship is only possible for the self-dual production functions. We show that if the profit function is translog, some popular approaches used in modeling technical and allocative inefficiency are incorrect. In particular, we show that: (i) models that fail to include technical inefficiency and consider only allocative inefficiency yield biased and inconsistent parameter estimates; (ii) if technical inefficiency is neglected, the measure of technical change will be biased. The generalized profit function developed here is capable of distinguishing between technical change and time-varying technical inefficiency. Such a distinction is not possible if, for example, one uses
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