Advanced Search
Volume 38 Issue 10
Oct.  2012
Turn off MathJax
Article Contents
Abstract
References
Journal of Beijing University of Aeronautics and Astronautics  > 2012  >  38(10): 1275-1279.
Hou Yunyi, Jing Qianfeng, Ma Guangfuet al. Orbital rendezvous control method for berthing and tracking approach[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(8): 1124-1128. (in Chinese)
Citation: Wang Huiwen, Li Nan. Linear regression analysis for normal distribution-valued data based on complete information[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(10): 1275-1279. (in Chinese)
shu

Linear regression analysis for normal distribution-valued data based on complete information

  • School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 06 Jan 2012
  • Publish Date: 30 Oct 2012
    Abstract
  • In light of normal distribution-valued symbolic data, a new method for building linear regression model was proposed. To reflect all the original information of the normal distribution-valued data, definition and calculation principle were proposed for first moments, second original moment and second mixed original moment of normal distribution-valued variables. On this basis, linear regression model for normal distribution-valued data and the sum of squares of the residual information were defined and least-squares regression coefficients were derived. Simulation results show that the explanatory power and predictive ability of the regression model derived by the proposed method are effective and outperform the "Centre Method". The definition and calculation principle of numerical characteristics laid the foundation for extending the other classical multivariate statistical method to distribution-valued data.

     

    • FullText(HTML)
    • References(7)
  • [1]
    Diday E.Introduction à l'approche symbolique en analyse des données[J].RAIRO Recherche Opérationnelle,1989,23(2):193-236
    [2]
    Billard L,Diday E.Regression analysis for interval-valued data //Data Analysis,Classification and Related Methods.Belgium:Springer,2000:369-374
    [3]
    Billard L,Diday E.Symbolic regression analysis //Classification,Clustering,and Data Analysis.Poland:Springer,2002:281-288
    [4]
    Lima N E,de Carvalho F.Centre and range method to fitting a linear regression model on symbolic interval data[J].Computational Statistics and Data Analysis,2008,52:1500-1515
    [5]
    Billard L.Dependencies and variation components of symbolic interval-valued data //Selected Contributions in Data Analysis and Classification.Berlin:Springer,2007:3-12
    [6]
    Verde R,Irpino A.Ordinary least squares for histogram data based on wasserstein distance //Proceedings of COMPSTAT ‘2010.Berlin:Springer-Verlag,2010:581-588
    [7]
    Schweizer B.Distributions are the numbers of the future //Proceedings of the Mathematics of Fuzzy Systems Meeting.Naples:University of Naples,1984:137-149
    • Relative Articles

  • Relative Articles

    [1]YANG G Y，ZHANG Y，HU L X，et al. Application of inclined slot in airfoil stall control[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（8）：2601-2618 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0652.
    [2]QUAN Q，CHEN L. Control of non-affine nonlinear systems: A survey[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（8）：2367-2381 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0642.
    [3]ZHANG Q C，WANG L，XI J X，et al. Tracking control of unmanned aerial vehicle swarms with leader-following double formation[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（7）：2331-2342 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0607.
    [4]CHEN Qing-yang, XIN Hong-bo, LU Ya-fei, WANG Peng, WANG Yu-jie, ZHENG Jun-fei. Ground Taxiing Lateral Deviation Correction Control for High Subsonic UAVs[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0635
    [5]HE Chi-yuan, CHENG Shao-xu, XU Lin-feng, MENG Fan-man, WU Qing-bo. A Continual Learning Method Based on Differential Feature Distillation for Multimodal Network[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0369
    [6]CHANG Jiaming, LI Sulan, DUAN Xuechao, ZHANG Wei, WANG Chenyang. Anti-stochastic disturbance control of airship[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0489
    [7]LIU H，HUANG S，TU H Y. Quadrotor sliding mode control based on predefined time[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（5）：1665-1674 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0481.
    [8]MENG Z P，YANG L Q，WANG B，et al. ADRC design for folding wing vehicles based on improved equilibrium optimization algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（8）：2449-2460 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0698.
    [9]CAI H，SHI P. Attitude control method for flexible spacecraft based on LPV model[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（12）：3921-3929 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0880.
    [10]JIN L，YANG S L. Fault-tolerant control of spacecraft attitude with prescribed performance based on reinforcement learning[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（8）：2404-2412 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0666.
    [11]ZHAO Q，ZHEN Z Y，GONG H J，et al. UAV formation control based on dueling double DQN[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（8）：2137-2146 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0601.
    [12]ZHOU B J，YU C Q，TAN L L，et al. Fast leveling control technology of vehicle platform based on interference compensation[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（6）：1495-1503 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0447.
    [13]DUAN B，YANG S，LI A J. Design of LPV control law for unmanned helicopter[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（4）：879-890 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0340.
    [14]XU N，XU L L，HE F C. Total focusing imaging in anisotropic additive manufacturing components using ultrasonic array[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（5）：1063-1070 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0404.
    [15]TAN Cao, YU Peng, LI Bo, LU Jia-yu, REN Yun-yun. Pressure Cascade Control of Brake-by-wire Unit Based on Direct Drive Pump-Valve Cooperative[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0216
    [16]TANG Y C，ZHU Q H，LIU F C，et al. Design of robust controller for single outrigger of vibration active isolation platform based on LPV[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（7）：1796-1801 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0513.
    [17]YAN H B，XU W B，HUANG L E. Design of quadrotor attitude controller based on improved ADRC[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（12）：3283-3292 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0129.
    [18]WANG S Y，ZHANG J，YANG L Y. Attitude control law based on L1-ITD for a tail-sitter UAV[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（9）：2501-2509 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0681.
    [19]WANG T，JIAO H C，LIU J，et al. Design of attitude control method for ultra-low-orbit satellite with pneumatic steering gear[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（3）：548-558 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0265.
    [20]ZHANG Libo, LI Yupeng, ZHU Deming, FU Yongling. Inverse kinematic solution of nursing robot based on genetic algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(10): 1925-1932. doi: 10.13700/j.bh.1001-5965.2021.0042
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views(1917) PDF downloads(541) Cited by()
    Proportional views
    Related

    Copyright © Journal of Beijing University of Aeronautics and Astronautics

    Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn

    Supported by: Beijing Renhe Information Technology Co., Ltd.    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return