The improved artificial bee colony algorithm for mixed additive and multiplicative random error model and the bootstrap method for its precision estimation

To solve the complex weight matrix derivative problem when using the weighted least squares method to estimate the parameters of the mixed additive and multiplicative random error model (MAM error model), we use an improved artificial bee colony algorithm without derivative and the bootstrap method...

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Bibliographic Details
Published in:Geodesy and Geodynamics Vol. 14; no. 3; pp. 244 - 253
Main Authors: Wang, Leyang, Han, Shuhao
Format: Journal Article
Language:English
Published: Elsevier B.V 01.05.2023
KeAi Communications Co., Ltd
Subjects:
Accuracy evaluation
Artificial bee colony algorithm
Bootstrap method
Mixed additive and multiplicative random error
Parameter estimation
Artificial bee colony algorithm
Parameter estimation
Bootstrap method
Mixed additive and multiplicative random error
Accuracy evaluation
ISSN:1674-9847
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Summary:To solve the complex weight matrix derivative problem when using the weighted least squares method to estimate the parameters of the mixed additive and multiplicative random error model (MAM error model), we use an improved artificial bee colony algorithm without derivative and the bootstrap method to estimate the parameters and evaluate the accuracy of MAM error model. The improved artificial bee colony algorithm can update individuals in multiple dimensions and improve the cooperation ability between individuals by constructing a new search equation based on the idea of quasi-affine transformation. The experimental results show that based on the weighted least squares criterion, the algorithm can get the results consistent with the weighted least squares method without multiple formula derivation. The parameter estimation and accuracy evaluation method based on the bootstrap method can get better parameter estimation and more reasonable accuracy information than existing methods, which provides a new idea for the theory of parameter estimation and accuracy evaluation of the MAM error model.
ISSN:1674-9847
DOI:10.1016/j.geog.2022.04.005