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Performance evaluation of Chinese and foreign property insurance companies considering negative data: Based on the dynamic two-stage IBP-SBM model

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  • Liu, Peide
  • Sun, Huizhi
  • Xu, Hongxue

Abstract

In the insurance industry, performance evaluation is a crucial instrument for resource management, allocation, and industry development. Negative data, however, have received little attention in the present evaluation system and are considered an undesirable consequence of research evaluation. To fill this gap, this paper establishes an evaluation indicator system that includes negative data and proposes the dynamic two-stage improved base point slacks-based measure (IBP-SBM) model for handling negative data. The model fully considers the internal structure of the production process and the measurement of intermediate products, and obtains the system efficiency and stage efficiency in two steps. In order to verify the applicability of the model, we evaluate the performance of 48 Chinese and foreign property insurance companies over the period from 2018 to 2020 through the proposed model. The empirical results indicate that variations in the investment stage are primarily responsible for shifts in the overall efficiency of the property insurance industry. With this method, decision-making is aided by a wealth of information.

Suggested Citation

  • Liu, Peide & Sun, Huizhi & Xu, Hongxue, 2025. "Performance evaluation of Chinese and foreign property insurance companies considering negative data: Based on the dynamic two-stage IBP-SBM model," Socio-Economic Planning Sciences, Elsevier, vol. 98(C).
    • Handle: RePEc:eee:soceps:v:98:y:2025:i:c:s0038012125000187
    DOI: 10.1016/j.seps.2025.102169
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    as
    1. Chen, Ya & Pan, Yongbin & Liu, Haoxiang & Wu, Huaqing & Deng, Guangwei, 2023. "Efficiency analysis of Chinese universities with shared inputs: An aggregated two-stage network DEA approach," Socio-Economic Planning Sciences, Elsevier, vol. 90(C).
    2. Kao, Chiang & Hwang, Shiuh-Nan, 2008. "Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 185(1), pages 418-429, February.
    3. Shoaib Alam Siddiqui, 2022. "How efficient is Indian health insurance sector: An SBM‐DEA study," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(4), pages 950-962, June.
    4. Davood Gharakhani & Abbas Toloie Eshlaghy & Kiamars Fathi Hafshejani & Reza Kiani Mavi & Farhad Hosseinzadeh Lotfi, 2018. "Common weights in dynamic network DEA with goal programming approach for performance assessment of insurance companies in Iran," Management Research Review, Emerald Group Publishing Limited, vol. 41(8), pages 920-938, April.
    5. Arabmaldar, Aliasghar & Sahoo, Biresh K. & Ghiyasi, Mojtaba, 2023. "A generalized robust data envelopment analysis model based on directional distance function," European Journal of Operational Research, Elsevier, vol. 311(2), pages 617-632.
    6. Shen, Wanfang & Liu, Yufei & Wan, Guanjiang & Shi, Jianing & Liu, Wenbin, 2024. "Performance evaluation considering academic misconduct of China’s higher education institutions," Socio-Economic Planning Sciences, Elsevier, vol. 91(C).
    7. Tone, Kaoru & Kweh, Qian Long & Lu, Wen-Min & Ting, Irene Wei Kiong, 2019. "Modeling investments in the dynamic network performance of insurance companies," Omega, Elsevier, vol. 88(C), pages 237-247.
    8. Shi, Xiao & Wang, Libo & Emrouznejad, Ali, 2023. "Performance evaluation of Chinese commercial banks by an improved slacks-based DEA model," Socio-Economic Planning Sciences, Elsevier, vol. 90(C).
    9. Suvvari Anandarao & S. Raja Sethu Durai & Phanindra Goyari, 2019. "Efficiency Decomposition in two-stage Data Envelopment Analysis: An application to Life Insurance companies in India," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 17(2), pages 271-285, June.
    10. Omrani, Hashem & Emrouznejad, Ali & Shamsi, Meisam & Fahimi, Pegah, 2022. "Evaluation of insurance companies considering uncertainty: A multi-objective network data envelopment analysis model with negative data and undesirable outputs," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    11. Ram Pratap Sinha, 2015. "A Dynamic DEA Model for Indian Life Insurance Companies," Global Business Review, International Management Institute, vol. 16(2), pages 258-269, April.
    12. Kao, Chiang, 2022. "A maximum slacks-based measure of efficiency for closed series production systems," Omega, Elsevier, vol. 106(C).
    13. Kaffash, Sepideh & Azizi, Roza & Huang, Ying & Zhu, Joe, 2020. "A survey of data envelopment analysis applications in the insurance industry 1993–2018," European Journal of Operational Research, Elsevier, vol. 284(3), pages 801-813.
    14. Tone, Kaoru & Chang, Tsung-Sheng & Wu, Chen-Hui, 2020. "Handling negative data in slacks-based measure data envelopment analysis models," European Journal of Operational Research, Elsevier, vol. 282(3), pages 926-935.
    15. Mohammad Nourani & Qian Long Kweh & Irene Wei Kiong Ting & Wen-Min Lu & Anna Strutt, 2022. "Evaluating traditional, dynamic and network business models: an efficiency-based study of Chinese insurance companies," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 47(4), pages 905-943, October.
    16. M C A Silva Portela & E Thanassoulis & G Simpson, 2004. "Negative data in DEA: a directional distance approach applied to bank branches," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1111-1121, October.
    17. Kao, Chiang, 2019. "Inefficiency identification for closed series production systems," European Journal of Operational Research, Elsevier, vol. 275(2), pages 599-607.
    18. Chiang Kao, 2014. "Efficiency Decomposition in Network Data Envelopment Analysis," International Series in Operations Research & Management Science, in: Wade D. Cook & Joe Zhu (ed.), Data Envelopment Analysis, edition 127, chapter 0, pages 55-77, Springer.
    19. Lotfi, Farhad Hosseinzadeh & Saen, Reza Farzipoor & Moghaddas, Zohreh & Vaez-Ghasemi, Mohsen, 2023. "Using an SBM-NDEA model to assess the desirable and undesirable outputs of sustainable supply chain: A case study in wheat industry," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).
    20. Sebastián Lozano & Ester Gutiérrez, 2014. "A slacks-based network DEA efficiency analysis of European airlines," Transportation Planning and Technology, Taylor & Francis Journals, vol. 37(7), pages 623-637, October.
    21. Davood Gharakhani & Abbas Toloie Eshlaghy & Kiamars Fathi Hafshejani & Reza Kiani Mavi & Farhad Hosseinzadeh Lotfi, 2018. "Common weights in dynamic network DEA with goal programming approach for performance assessment of insurance companies in Iran," Management Research Review, Emerald Group Publishing Limited, vol. 41(8), pages 920-938, April.
    22. Anyomi, Siegfried Kafui, 2023. "Efficiency: Mutual vs. Stock P-L Insurers," Finance Research Letters, Elsevier, vol. 53(C).
    23. Kao, Chiang, 2014. "Efficiency decomposition in network data envelopment analysis with slacks-based measures," Omega, Elsevier, vol. 45(C), pages 1-6.
    24. A. Charnes & W. W. Cooper, 1962. "Programming with linear fractional functionals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(3‐4), pages 181-186, September.
    25. Lee, Hsuan-Shih, 2021. "Slacks-based measures of efficiency and super-efficiency in presence of nonpositive data," Omega, Elsevier, vol. 103(C).
    26. J A Sharp & W Meng & W Liu, 2007. "A modified slacks-based measure model for data envelopment analysis with ‘natural’ negative outputs and inputs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1672-1677, December.
    27. Lim, Sungmook & Zhu, Joe, 2019. "Primal-dual correspondence and frontier projections in two-stage network DEA models," Omega, Elsevier, vol. 83(C), pages 236-248.
    28. Cummins, J. David & Weiss, Mary A., 1993. "Measuring cost efficiency in the property-liability insurance industry," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 463-481, April.
    29. Hwai-Shuh Shieh & Jin-Li Hu & Yong-Ze Ang, 2020. "Efficiency of Life Insurance Companies: An Empirical Study in Mainland China and Taiwan," SAGE Open, , vol. 10(1), pages 21582440209, February.
    30. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    31. Akther, Syed & Fukuyama, Hirofumi & Weber, William L., 2013. "Estimating two-stage network Slacks-based inefficiency: An application to Bangladesh banking," Omega, Elsevier, vol. 41(1), pages 88-96.
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