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生产函数估计：重拾原始形式的直接估计AI 解读

MUCH OF THE DISCUSSION ON THE ESTIMATION of production functions is related to the fact that inputs may be endogenous and therefore direct estimators of the production functions may be inconsistent. One way to overcome this problem has been to apply the concept of duality. The purpose of this note is to point out that estimates based on duality, unlike direct estimators of the production function, do not utilize all the available information and therefore are statistically…

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对数正态线性模型中的估计AI 解读

Let Y = ey where the usual assumptions of the general linear models: y = Xa+u, u ∼ N(0, σ2 I) are made. Extending the results of Finney minimum variance unbiased estimators, τ, of parametric functions of the type are established. Expressions for the variance of τ and an unbiased estimator of the variance are obtained. The results are in terms of functions whose numerical values are tabulated.

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In estimating parameters of the Cobb-Douglas production function, assuming competition and profit maximization, the estimator to be employed depends on the specification of the behavior of the disturbance term in the production function. If this disturbance term is not transmitted to inputs, that is, if inputs are independent of this disturbance, then the least squares estimator is consistent; if the disturbance is fully transmitted to inputs, then a consistent estimator is…