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Based on the concept of productive capital stock, this paper estimated capital input by three asset types of China’s 36 service industries in 2003–2015, and compared with the results of wealth capital stock. This study found that the wealth capital stock method underestimates the actual capital input in each sector in varying degrees, and it may interference the accuracy of productivity evaluation in sectors. According to the new estimation results of capital input, this paper further applied four stages bootstrap-DEA method to estimate industrial productivity, and calculated its confidence intervals. This study found that, the years of education and the average wage have a significant positive impact on the productivity of service industries; the productive services have a short board effect in the whole service industry.

The Difference of Capital Input and Productivity in Service Industries: Based on Four Stages Bootstrap-DEA Model