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A survey of data envelopment analysis applications in the insurance industry 1993–2018. (English) Zbl 1441.91064

Summary: Recently in the insurance sector, efficiency measurement of insurance firms has attracted great interest from investors, financial market analysts, insurance regulators, and researchers alike. Among several performance assessment approaches, Data Envelopment Analysis (DEA) has become one of the tools that have been commonly adopted to evaluate firms in various fields. Given the increasing interest in applying DEA to assessing relative efficiency or performance of insurance firms and that there has been a growing body of literature on DEA applications in the insurance industry since the last comprehensive published review in the field (i.e., [J. D. Cummins and M. A. Weiss, “Analyzing firm performance in the insurance industry using frontier efficiency and productivity methods”, in: Handbook of insurance. New York, NY: Springer. 795–861 (2013; doi:10.1007/978-1-4614-0155-1_28)]), an updated survey of DEA applications focusing on the insurance industry is necessary. In this study, we review and analyze 132 DEA application studies in the insurance industry published from 1993 through July 2018, covering both applications and methodologies. Regarding the applications, we show that the impact of recent changes such as Insurtechs, market transparency, and micro-insurance institutions on the efficiency of insurance firms has not yet been touched. As to methodologies, we pinpoint that the newly-developed DEA approaches such as shared resources dynamic network DEA, modified directional distance function, satisficing DEA, and fuzzy DEA lack in the extant literature. Through the analyses, we highlight the existing gaps in the DEA applications in the insurance industry for future research.

MSC:

91G05 Actuarial mathematics
90B50 Management decision making, including multiple objectives
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