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

IF 2.8 4区地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS

Geodesy and Geodynamics Pub Date : 2023-05-01 DOI:10.1016/j.geog.2022.04.005

Leyang Wang , Shuhao Han

{"title":"The improved artificial bee colony algorithm for mixed additive and multiplicative random error model and the bootstrap method for its precision estimation","authors":"Leyang Wang , Shuhao Han","doi":"10.1016/j.geog.2022.04.005","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":46398,"journal":{"name":"Geodesy and Geodynamics","volume":"14 3","pages":"Pages 244-253"},"PeriodicalIF":2.8000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geodesy and Geodynamics","FirstCategoryId":"89","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1674984722000568","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}

引用次数: 3

Abstract

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.

查看原文本刊更多论文

加乘混合随机误差模型的改进人工蜂群算法及其精度估计的bootstrap方法

为解决使用加权最小二乘法估计混合加性与乘性随机误差模型(MAM误差模型)参数时的复杂权矩阵导数问题，采用改进的无导数人工蜂群算法和自举法对MAM误差模型进行参数估计和精度评估。改进的人工蜂群算法基于准仿射变换思想构造新的搜索方程，实现了对个体的多维更新，提高了个体之间的协作能力。实验结果表明，该算法基于加权最小二乘准则，无需多次公式推导即可得到与加权最小二乘方法一致的结果。基于自提法的参数估计和精度评价方法比现有方法能得到更好的参数估计和更合理的精度信息，为MAM误差模型的参数估计和精度评价理论提供了新的思路。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Geodesy and Geodynamics GEOCHEMISTRY & GEOPHYSICS-

CiteScore

4.40

自引率

4.20%

发文量

566

审稿时长

69 days

期刊介绍： Geodesy and Geodynamics launched in October, 2010, and is a bimonthly publication. It is sponsored jointly by Institute of Seismology, China Earthquake Administration, Science Press, and another six agencies. It is an international journal with a Chinese heart. Geodesy and Geodynamics is committed to the publication of quality scientific papers in English in the fields of geodesy and geodynamics from authors around the world. Its aim is to promote a combination between Geodesy and Geodynamics, deepen the application of Geodesy in the field of Geoscience and quicken worldwide fellows'' understanding on scientific research activity in China. It mainly publishes newest research achievements in the field of Geodesy, Geodynamics, Science of Disaster and so on. Aims and Scope: new theories and methods of geodesy; new results of monitoring and studying crustal movement and deformation by using geodetic theories and methods; new ways and achievements in earthquake-prediction investigation by using geodetic theories and methods; new results of crustal movement and deformation studies by using other geologic, hydrological, and geophysical theories and methods; new results of satellite gravity measurements; new development and results of space-to-ground observation technology.