Year
Month
(Peer-Reviewed) The CUSUM statistic of change point under NA sequences
Jin Ling ¹, Xiao-qin Li 李晓琴 ², Wen-zhi Yang 杨文志 ², Jian-ling Jiao 焦建玲 ¹
¹ School of Management, Hefei University of Technology, Hefei, 230009, China
中国 合肥 合肥工业大学管理学院
² Center for Applied Mathematics, School of Mathematical Sciences, Anhui University, Hefei, 230061, China
中国 合肥 安徽大学数学科学学院 应用数学中心
Abstract

In this paper, we investigate the CUSUM statistic of change point under the negatively associated (NA) sequences. By establishing the consistency estimators for mean and covariance functions respectively, the limit distribution of the CUSUM statistic is proved to be a standard Brownian bridge, which extends the results obtained under the case of an independent normal sample and the moving average processes.

Finally, the finite sample properties of the CUSUM statistic are given to show the efficiency of the method by simulation studies and an application on a real data analysis.
The CUSUM statistic of change point under NA sequences_1
The CUSUM statistic of change point under NA sequences_2
The CUSUM statistic of change point under NA sequences_3
  • High-resolution tumor marker detection based on microwave photonics demodulated dual wavelength fiber laser sensor
  • Jie Hu, Weihao Lin, Liyang Shao, Chenlong Xue, Fang Zhao, Dongrui Xiao, Yang Ran, Yue Meng, Panpan He, Zhiguang Yu, Jinna Chen, Perry Ping Shum
  • Opto-Electronic Advances
  • 2024-12-16
  • High performance laser induced plasma assisted ablation by GHz burst mode femtosecond pulses
  • Jingbo Yin, Yulong Zhao, Minghui Hong
  • Opto-Electronic Advances
  • 2024-12-16
  • Sequential harmonic spin–orbit angular momentum generation in nonlinear optical crystals
  • Yutao Tang, Zixian Hu, Junhong Deng, Kingfai Li, Guixin Li
  • Opto-Electronic Advances
  • 2024-12-16
  • Design, setup, and facilitation of the speckle structured illumination endoscopic system
  • Elizabeth Abraham, Zhaowei Liu
  • Opto-Electronic Science
  • 2024-12-13
  • Ultra-high-Q photonic crystal nanobeam cavity for etchless lithium niobate on insulator (LNOI) platform
  • Zhi Jiang, Cizhe Fang, Xu Ran, Yu Gao, Ruiqing Wang, Jianguo Wang, Danyang Yao, Xuetao Gan, Yan Liu, Yue Hao, Genquan Han
  • Opto-Electronic Advances
  • 2024-10-31
  • Advanced biological imaging techniques based on metasurfaces
  • Yongjae Jo, Hyemi Park, Hyeyoung Yoon, Inki Kim
  • Opto-Electronic Advances
  • 2024-10-31
  • Orthogonal matrix of polarization combinations: concept and application to multichannel holographic recording
  • Shujun Zheng, Jiaren Tan, Hongjie Liu, Xiao Lin, Yusuke Saita, Takanori Nomura, Xiaodi Tan
  • Opto-Electronic Advances
  • 2024-10-23
  • Streamlined photonic reservoir computer with augmented memory capabilities
  • Changdi Zhou, Yu Huang, Yigong Yang, Deyu Cai, Pei Zhou, Kuenyao Lau, Nianqiang Li, Xiaofeng Li
  • Opto-Electronic Advances
  • 2024-10-22
  • High-precision multi-focus laser sculpting of microstructured glass
  • Kang Xu, Peilin Huang, Lingyu Huang, Li Yao, Zongyao Li, Jiantao Chen, Li Zhang, Shaolin Xu
  • Opto-Electronic Advances
  • 2024-10-09
  • Multi-physical field null medium: new solutions for the simultaneous control of EM waves and heat flow
  • Sailing He, Ruili Zhang, Junbo Liang
  • Opto-Electronic Advances
  • 2024-09-30
  • Adaptive decentralized AI scheme for signal recognition of distributed sensor systems
  • Shixiong Zhang, Hao Li, Cunzheng Fan, Zhichao Zeng, Chao Xiong, Jie Wu, Zhijun Yan, Deming Liu, Qizhen Sun
  • Opto-Electronic Advances
  • 2024-09-29
  • Data-driven polarimetric approaches fuel computational imaging expansion
  • Sylvain Gigan
  • Opto-Electronic Advances
  • 2024-09-28



  • Interfacial Engineering Strategy for High-Performance Zn Metal Anodes                                Covariant phase space with null boundaries
    About
    |
    Contact
    |
    Copyright © PubCard