A Method for Estimating Output Elasticity of Input Factors in Cobb-Douglas Production Function and Measuring Agricultural Technological Progress

When using the Cobb-Douglas (C-D) production function to measure contribution rate of agricultural technological progress (ATP), it is necessary estimate output elasticity coefficient (OEC) each input factor in C-D function. For this purpose, usually take logarithm at both sides and convert into a linear function, then use regression analysis method OECs factors. However, there are some problems remains unsolved: first, estimated by taking not optimal estimation original function; second, results sometimes fail pass statistical test; third, cannot be guaranteed non-negative. Aiming resolving these problems, for estimating based on Hybrid Improved Bat Optimization Algorithm (HIBA) was proposed. This solves existing OEC methods literatures. To verify effectiveness proposed study, factors China' Sichuan Province from 1996 2018 estimated. The show that, compared with other literatures, can only guarantee that but also ensure non-negative high precision good fitting effect. Finally, results, study measured analyzed ATP puts forward corresponding suggestions development region.