A New Type of Exponential Curve and Its Application in the Tertiary Industry
Lang Yu *
College of Science, Southwest University of Science and Technology, Sichuan Mianyang 621000, China.
Guoxin Tang
College of Science, Southwest University of Science and Technology, Sichuan Mianyang 621000, China
Lizhi Yang
College of Science, Southwest University of Science and Technology, Sichuan Mianyang 621000, China.
*Author to whom correspondence should be addressed.
Abstract
This paper proposes an improved new exponential curve model based on the classical exponential curve and the modified exponential curve. System parameters of the new exponential curve are estimated by the nonlinear least squares method and the trust region algorithm. Furthermore, numerical examples are provided to validate and verify the accuracy of the new exponential curve model. Finally, the new model is applied to model and predict the tertiary industry in China. The computational results show that the proposed new exponential curve has higher precision than the others.
Keywords: Exponential curve, trust region algorithm, nonlinear least square method, parameter estimation, tertiary industry.