Operational Research

, Volume 17, Issue 2, pp 669–691 | Cite as

An allocation Malmquist index with an application in the China securities industry

  • Nan Zhu
  • Yi Liu
  • Ali Emrouznejad
  • Qiang Huang
Original Paper


This paper proposes an allocation Malmquist index which is inspired by the work on the non-parametric cost Malmquist index. We first show that how to decompose the cost Malmquist index into the input-oriented Malmquist index and the allocation Malmquist index. An application in corporate management of the China securities industry with the panel data set of 40 securities companies during the period 2005–2011 shows the practicality of the propose model.


Data envelopment analysis Overall efficiency Allocative efficiency Allocation Malmquist index 



This work is financially supported by 211 Project for the Southwestern University of Finance and Economics (Phase 3), Chengdu, China. The authors would like to thank Mr. Guangdong Sun and Miss Jing He for assistant work of collecting the data. We also would like to thank to anonymous reviewers for their insightful comments and suggestions, as results the paper has been improved substantially.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Western Business SchoolSouthwestern University of Finance and EconomicsChengduChina
  2. 2.School of Business AdministrationSouthwestern University of Finance and EconomicsChengduChina
  3. 3.Aston Business SchoolAston UniversityBirminghamUK

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