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Malmquist-type indices in the presence of negative data: An application to bank branches

机译:存在负数据的Malmquist型指数:银行分行的应用

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In this paper we develop an index and an indicator of productivity change that can be used with negative data. For that purpose the range directional model (RDM), a particular case of the directional distance function, is used for computing efficiency in the presence of negative data. We use RDM efficiency measures to arrive at a Malmquist-type index, which can reflect productivity change, and we use RDM inefficiency measures to arrive at a Luenberger productivity indicator, and relate the two. The productivity index and indicator are developed relative to a fixed meta-technology and so they are referred to as a meta-Malmquist index and meta-Luenberger indicator. We also address the fact that VRS technologies are used for computing the productivity index and indicator (a requirement under negative data), which raises issues relating to the interpretability of the index. We illustrate how the meta-Malmquist index can be used, not only for comparing the performance of a unit in two time periods, but also for comparing the performance of two different units at the same or different time periods. The proposed approach is then applied to a sample of bank branches where negative data were involved. The paper shows how the approach yields information from a variety of perspectives on performance which management can use.
机译:在本文中,我们开发了可以与负数据一起使用的生产率变化的指标和指标。为此,在存在负数据的情况下,将距离方向模型(RDM)(方向距离函数的一种特殊情况)用于计算效率。我们使用RDM效率指标得出可以反映生产率变化的Malmquist类型指数,并且使用RDM效率指标得出Luenberger生产率指标,并将二者联系起来。生产率指数和指标是相对于固定的元技术开发的,因此它们被称为元马尔默斯特指数和元伦贝格指标。我们还解决了使用VRS技术来计算生产率指数和指标(负数据下的要求)这一事实,这提出了与指数的可解释性有关的问题。我们说明了如何可以使用meta-Malmquist索引,不仅用于比较两个时间段内某个单元的性能,而且还用于比较相同或不同时间段内两个不同单元的性能。然后将所提出的方法应用于涉及负数据的银行分支机构样本。本文展示了该方法如何从管理层可以使用的绩效的各种角度产生信息。

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