Affiliation:
1. School of Mathematics, Sichuan University of Arts and Science, Dazhou 635000, China
Abstract
In this paper, the inverse cumulative grey time power model with a Caputo fractional derivative is established, and the solution to the whitening equation is given by the Laplace transform. To improve the prediction accuracy of the model, the linear-tangent-function transformation is used to improve the smoothness of the data sequence, and a grey time power model is obtained, which has higher accuracy than the sinusoidal-function transformation, negative-exponential-function transformation and logarithmic-function transformation. The form and application range of the model are generalized.
Funder
Natural Science Foundation of Sichuan Province
Natural Science Foundation of Xinjiang Uygur Autonomous Region of China
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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