In this paper, we reconsider the assumptions that ensure the identification of the production function in Olley and Pakes (1996, Econometrica 64, 1263–1297). We show that an index restriction plays a crucial role in the identification, especially if the capital stock is measured by the perpetual inventory method. The index restriction is not sufficient for identification under sample selectivity. The index restriction makes it possible to derive the influence function and the asymptotic variance of the Olley–Pakes estimator.

中文翻译：

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Olley 和 Pakes (1996) 生产函数估计器的识别和影响函数

在本文中，我们重新考虑 Olley 和 Pakes (1996, Econometrica 64, 1263–1297)中确保生产函数识别的假设。我们表明，指数限制在识别中起着至关重要的作用，特别是如果股本采用永续盘存法计量的话。索引限制不足以在样本选择性下进行识别。指数限制使得导出 Olley-Pakes 估计量的影响函数和渐近方差成为可能。