In the literature, it is highlighted that the deterministic nature of the data envelopment analysis–based productivity measures makes them sensitive to sample characteristics. However, the majority of the related empirical studies ignore the potential bias in their data envelopment analysis–based productivity estimations. This article illustrates how the order-α quantile-type estimators can be applied to construct a robust version of the Malmquist productivity indices. Using the order-α estimators, we construct a Malmquist productivity index alongside with two well-known decompositions. The proposed productivity indicator is less sensitive to potential outliers and extreme values. Then, as an illustrative example, we apply the quantile-type productivity index on a sample of 270 hotels operating in the Balearic Islands over the period 2004-2013. The productivity levels alongside with their components are analyzed during the global financial crisis period.

中文翻译：

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酒店业的生产力：Order-α Malmquist 生产力指标

在文献中，强调基于数据包络分析的生产力度量的确定性性质使其对样本特征敏感。然而，大多数相关的实证研究忽略了基于数据包络分析的生产力估计中的潜在偏差。本文说明了如何应用 α 阶分位数类型的估计量来构建 Malmquist 生产力指数的稳健版本。使用 α 阶估计量，我们构建了一个 Malmquist 生产力指数以及两个众所周知的分解。提议的生产力指标对潜在的异常值和极值不太敏感。然后，作为说明性示例，我们对 2004 年至 2013 年期间在巴利阿里群岛经营的 270 家酒店的样本应用分位数型生产力指数。