Updated on 2024/10/04

Information

 

写真a

 
GOTO YUICHI
 
Organization
Faculty of Mathematics Division of Analysis Assistant Professor
School of Sciences Department of Mathematics(Joint Appointment)
Graduate School of Mathematics Department of Mathematics(Joint Appointment)
Title
Assistant Professor
Contact information
メールアドレス
Profile
Time series analysis in statistics involves estimations and hypothesis tests using various methods to analyze time-dependent data such as temperature and stock prices. Our objective is to propose models and methods and derive their mathematical properties. In the frequency domain approach, a concept unique to time series analysis, there is a pivotal index called spectrum. This spectrum is used to measure the strength of the connections between the past, present, and future. Various types of spectra have been proposed in recent years, and my research focuses on the analysis using this spectrum.

Degree

  • Doctor of Science

Research History

  • 早稲田大学 基幹理工学部 応用数理学科 講師 (任期付)

Research Interests・Research Keywords

  • Research theme:Time series analysis in statistics involves estimations and hypothesis tests using various methods to analyze time-dependent data such as temperature and stock prices. Our objective is to propose models and methods and derive their mathematical properties. In the frequency domain approach, a concept unique to time series analysis, there is a pivotal index called spectrum. This spectrum is used to measure the strength of the connections between the past, present, and future. Various types of spectra have been proposed in recent years, and my research focuses on the analysis using this spectrum.

    Keyword:mathematical statistics, time series analysis, frequency domain

    Research period: 2019.4 - 2027.3

Awards

  • New Researcher Travel Awards

    2023.4   The Institute of Mathematical Statistics  

  • 小野梓記念賞

    2021.3   早稲田大学  

Papers

  • THE INTEGRATED COPULA SPECTRUM Invited Reviewed International journal

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    ANNALS OF STATISTICS   50 ( 6 )   3563 - 3591   2022.12   ISSN:0090-5364

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1214/22-AOS2240

    Web of Science

    Scopus

  • Long-memory Log-linear Zero-inflated Generalized Poisson Autoregression for Covid-19 Pandemic Modeling Reviewed International journal

    Xu, X., Zhang, Y., Liu, Y., Goto, Y., Taniguchi, M., and Chen, Y

    Statistica Sinica   35 ( 2 )   2025.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.5705/ss.202022.0148

  • Sparse principal component analysis for high-dimensional stationary time series

    Fujimori, K; Goto, Y; Liu, Y; Taniguchi, M

    SCANDINAVIAN JOURNAL OF STATISTICS   50 ( 4 )   1953 - 1983   2023.12   ISSN:0303-6898 eISSN:1467-9469

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    Publisher:Scandinavian Journal of Statistics  

    We consider the sparse principal component analysis for high-dimensional stationary processes. The standard principal component analysis performs poorly when the dimension of the process is large. We establish oracle inequalities for penalized principal component estimators for the large class of processes including heavy-tailed time series. The rate of convergence of the estimators is established. We also elucidate the theoretical rate for choosing the tuning parameter in penalized estimators. The performance of the sparse principal component analysis is demonstrated by numerical simulations. The utility of the sparse principal component analysis for time series data is exemplified by the application to average temperature data.

    DOI: 10.1111/sjos.12664

    Web of Science

    Scopus

  • Tests for the existence of group effects and interactions for two-way models with dependent errors

    Goto, Y; Suzuki, K; Xu, XF; Taniguchi, M

    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS   75 ( 3 )   511 - 532   2023.6   ISSN:0020-3157 eISSN:1572-9052

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    Publisher:Annals of the Institute of Statistical Mathematics  

    In this paper, we propose tests for the existence of random effects and interactions for two-way models with dependent errors. We prove that the proposed tests are asymptotically distribution-free which have asymptotically size τ and are consistent. We elucidate the nontrivial power under the local alternative when a sample size tends to infinity and the number of groups is fixed. A simulation study is performed to investigate the finite-sample performance of the proposed tests. In the real data analysis, we apply our tests to the daily log-returns of 24 stock prices from six countries and four sectors. We find that there is no strong evidence to support the existence of substantial differences in the log-return across countries, nor to the existence of interactions between countries and sectors. However, there exists random effect differences in the daily log-return series across different sectors.

    DOI: 10.1007/s10463-022-00853-3

    Web of Science

    Scopus

  • Sparse principal component analysis for high‐dimensional stationary time series Reviewed International journal

    2023.5

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1111/sjos.12664

  • Tests for a structural break for non-negative integer-valued time series Invited Reviewed International journal

    Y. Goto

    Research Papers in Statistical Inference for Time Series and Related Models   2023.5

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    Language:Japanese  

  • Tests for the existence of group effects and interactions for two-way models with dependent errors Reviewed International journal

    Y. Goto, K. Suzuki, X. Xu, and M. Taniguchi

    Annals of the Institute of Statistical Mathematics   2022.11

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Likelihood ratio processes under nonstandard settings Invited Reviewed International journal

    Y. Goto, T. Kaneko, S. Kojima, and M. Taniguchi

    Theory of Probability and its Applications   67 ( 2 )   2022.11

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    Language:English   Publishing type:Research paper (scientific journal)  

  • TEST FOR CONDITIONAL VARIANCE OF INTEGER-VALUED TIME SERIES Reviewed International journal

    Goto, Yuichi; Fujimori, Kou

    Statistica Sinica   32 ( 4 )   2241 - 2263   2022.10   ISSN:1017-0405 eISSN:1996-8507

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.5705/ss.202020.0357

    Web of Science

    Scopus

  • Homogeneity tests for one-way models with dependent errors under correlated groups Reviewed International journal

    Y. Goto, K. Arakaki, Y. Liu, and M. Taniguchi

    TEST   32 ( 1 )   163 - 183   2022.9   ISSN:1133-0686 eISSN:1863-8260

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11749-022-00828-9

    Web of Science

    Scopus

    PubMed

  • LIKELIHOOD RATIO PROCESSES UNDER NONSTANDARD SETTINGS

    Goto Y., Kaneko T., Kojima S., Taniguchi M.

    Theory of Probability and its Applications   67 ( 2 )   246 - 260   2022   ISSN:0040585X

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    Publisher:Theory of Probability and its Applications  

    This paper establishes the LAN property for the curved normal families and the simultaneous equation systems. In addition, we show that one-way random ANOVA models fail to have the LAN property. We consider the two cases when the variance of random effect lies in the interior and boundary of parameter space. In the former case, the log-likelihood ratio converges to 0. In the latter case, the log-likelihood ratio has atypical limit distributions, which depend on the contiguity orders. The contiguity orders corresponding to the variances of random effects and disturbances can be equal to or greater than one, respectively, and that corresponding to the grand mean can be equal to or greater than one half. Consequently, we cannot use the ordinary optimal theory based on the LAN property. Meanwhile, the test based on the log-likelihood ratio is shown to be asymptotically most powerful with the benefit of the classical Neymann–Pearson framework.

    DOI: 10.1137/S0040585X97T990903

    Scopus

  • Estimation of Trigonometric Moments for Circular Distribution of MA(p) Type by Using Binary Series Reviewed International journal

    Goto, Yuichi

    Scientiae Mathematicae Japonicae   e-2020 33 ( 2020-2 (in Editione Electronica) )   2020.8

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

  • Discriminant analysis based on binary time series Reviewed International journal

    Goto, Yuichi; Taniguchi, Masanobu

    METRIKA   83 ( 5 )   569 - 595   2020.7

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00184-019-00746-1

  • Discriminant analysis based on binary time series

    2019.10

  • Robustness of Zero Crossing Estimator Reviewed International journal

    Goto, Yuichi; Taniguchi, Masanobu

    JOURNAL OF TIME SERIES ANALYSIS   40 ( 5 )   815 - 830   2019.9

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1111/jtsa.12463

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Books

  • ANOVA with Dependent Error

    Yuichi Goto, Hideaki Nagahata, Masanobu Taniguchi, Anna Clara Monti, Xiaofei Xu( Role: Joint author)

    To appear in JSS Research Series in Statistics, Springer  2023.6 

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    Language:English   Book type:Scholarly book

Presentations

  • Test for the existence of the residual spectrum with application to brain functional connectivity detection

    Y. Goto, X. Zhang, B. Kedem, S. Chen

    Recent Advances in Time Series Analysis  2024.3 

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    Event date: 2024.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Integrated copula spectrum with applications to tests for time-reversibility and tail sym-metry International conference

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    Asia-Pacific Rim Meeting  2024.1 

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    Event date: 2024.3

    Language:English  

    Country:Japan  

  • Residual spectrum: Brain functional connectivity detection beyond coherence

    Y. Goto, Zhang, X., Kedem, B., Chen, S.

    2023.12 

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    Event date: 2024.3

    Language:Japanese  

    Country:Japan  

  • Test for the existence of the residual spectrum with application to brain functional con-nectivity detection

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    2023 IMS International Conference on Statistics and Data Science (ICSDS)  2023.12 

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    Event date: 2024.3

    Language:English  

    Country:Japan  

  • Test for the existence of the residual spectrum with application to brain functional con-nectivity detection

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    Data Science Workshop  2023.11 

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    Event date: 2024.3

    Language:English  

    Country:Japan  

  • Test for the existence of the residual spectrum with application to brain functional con-nectivity detection

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    Innovative developments in theory and methodology regarding various issues in statisti-cal science and related fields  2023.11 

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    Event date: 2024.3

    Language:English  

    Country:Japan  

  • Test for the existence of the residual spectrum with application to brain functional con-nectivity detection

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    Innovative developments in theory and methodology regarding various issues in statisti-cal science and related fields  2023.10 

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    Event date: 2024.3

    Language:English  

    Country:Japan  

  • Test for the existence of residual spectrum

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    Mathematical Society of Japan Autumn Meeting 2023  2023.9 

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    Event date: 2024.3

    Language:Japanese  

    Country:Japan  

  • Test for the existence of residual spectrum

    Goto, Y. Zhang, X., Kedem, B., Chen, S.

    Kyoto Seminar  2023.9 

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    Event date: 2024.3

    Language:English  

    Country:Japan  

  • Test for the existence of residual spectrum International conference

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    Statistics Seminar  2023.9 

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    Event date: 2024.3

    Language:English  

    Country:Japan  

  • time series analysis related to spectra

    Yuichi Goto

    Statistics Seminar, Kyushu Univ.  2022.4 

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    Event date: 2023.6

    Language:Japanese  

    Country:Japan  

  • Discriminant analysis based on binary time series International conference

    Y. Goto, M. Taniguchi

    The 5th International Conference on Econometrics and Statistics, Ryukoku University.  2023.6 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • Integrated copula spectrum with applications to tests for time-reversibility and tail symmetry

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    2023.5 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • Integrated copula spectrum with applications to tests for time-reversibility International conference

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    Poster, Statistical Foundations of Data Science and their Applications, Aonference in cele-bration of Jianqing Fan's 60th Birthday, Princeton Univ., U.S.  2023.5 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • The existence and uniqueness of lagged spectrum International conference

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    2023.4 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • The existence and uniqueness of lagged spectrum

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    Bolzano-Waseda Workshop on Statistics & Time Series analysis, Hotel Oswald, Selva di Val Gardena, Italy  2023.4 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • A subsampling-based test to detect interregional differences among small-sample time series in marine study International conference

    Goto, Y., Solvang, H.K., Taniguchi, M.

    IMR-Waseda Workshop, Advances in pragmatic computational methodologies for fish stock assessment, human impact, and environmental factor on marine ecosystems, Institute of Marine Research, Bergen, Pynten, IMR, Norway.  2023.3 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • The existence and uniqueness of lagged spectrum International conference

    Goto, Y., Zhang, X., Kedem, B., Chen, S.

    Kanazawa Seminar, Hotel Kanazawa  2023.2 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • Integrated copula spectrum with applications to tests for time-reversibility and tail sym-metry International conference

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    Data Science Workshop, Tohoku University.  2023.1 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • Likelihood Ratio Processes under Non-Standard Settings

    Y. Goto, T. Kaneko, S. Kojima, M. Taniguchi

    Waseda mini-workshop, Recent development on time series analysis and related topics, Waseda Univ.  2022.12 

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    Event date: 2023.6

    Language:Japanese  

    Country:Japan  

  • Homogeneity tests for one-way models with dependent errors under correlated groups International conference

    Y. Goto, K. Arakaki, Y. Liu, and M. Taniguchi

    Bologna-Waseda Time Series Workshop, University of Bologna  2022.10 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • Integrated copula spectrum with applications to tests for time-reversibility and tail symmetry International conference

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    Rome-Waseda Time Series Symposium, Tor Vergata University of Rome  2022.10 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • Integrated copula spectrum with applications to tests for time-reversibility and tail symmetry International conference

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    Statistics Seminar, University of Maryland  2022.9 

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    Event date: 2023.6

    Language:English  

    Country:Japan  

  • Integrated copula spectrum with applications to tests for time-reversibility and tail symmetry

    Goto, Y., Kley, T., Hecke, R. V., Volgushev, S, Dette, H., Hallin, M.

    Mathematical Society of Japan Autumn Meeting 2022, Hokkaido Univ., Special lecture  2022.9 

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    Event date: 2023.6

    Language:Japanese  

    Country:Japan  

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Professional Memberships

  • Mathematical Society of Japan

  • Japan Statistical Society

  • Institute of Mathematical Statistics

Academic Activities

  • Journal of Statistical Theory and Practice International contribution

    2023.1 - Present

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    Type:Academic society, research group, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2023

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:8

    Number of peer-reviewed articles in Japanese journals:1

  • Screening of academic papers

    Role(s): Peer review

    2022

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

Research Projects

  • 無限分散時系列に適用可能な周波数領域におけるパラメトリック手法の開発

    Grant number:23K16851  2023 - 2026

    日本学術振興会  科学研究費助成事業  若手研究

    後藤 佑一

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    Authorship:Principal investigator  Grant type:Scientific research funding

    パンデミックや戦争の勃発により, 株式市場は大きな影響を受けた. このように様々な影響を受ける金融時系列データでは, 非正規性, 分布の非対称性や無限分散性を持つことが多く, それらの特徴を考慮したモデリングをすることは, 金融時系列の解析には必須である. 本研究は, 分布の情報を含む新しいスペクトルのパラメトリックモデルを導入し, それに対する基礎統計理論の構築を行うものである.

    CiNii Research

  • New developments from heteroskedastic models in non-negative integer-valued time series analysis

    Grant number:21K20338  2021 - 2023

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Research Activity start-up

    Goto Yuichi

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    Authorship:Principal investigator  Grant type:Scientific research funding

    In this project, we proposed a model that incorporates an autoregressive structure not only for the conditional expectation but also for the conditional variance in order to introduce a model corresponding to the ARMA-GARCH model to counted time series analysis. The unknown parameters of this model can be estimated in two steps, and their consistency and asymptotic normality are proved. We found that the model can be applied to other testing problems that have not been proposed before. Although we had struggled to show the stationarity of the model, we were able to find clues. These contents will be submitted to an international journal as soon as they are ready. In addition, four papers were published in international journals and presented at domestic and international conferences.

    CiNii Research

  • 多様体上の時系列データにおける統計手法の提案

    Grant number:19J20060  2019 - 2021

    日本学術振興会  科学研究費助成事業  特別研究員奨励費

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    Authorship:Principal investigator  Grant type:Scientific research funding

Educational Activities

  • 2021 spring semester: Mathematics A2 Kikan(4), Fundamental Mathematics Densei(1), Fundamental Mathematics Keiei,
    2021 fall semester: Mathematics A2 Kikan(4), Exercises in Modern Mathematics
    2022 Statistical Science (Exercise), Statistical Mathematics (Exercise)
    2023 Mathematical statistics ×2

Class subject

  • 数理統計学(理学部)

    2024.10 - 2025.3   Second semester

  • 数理統計学(歯学部・薬学部)

    2023.10 - 2024.3   Second semester

  • 統計学のための数学の基礎

    2022.10 - 2023.3   Second semester

  • 統計的推定・検定の基礎

    2022.4 - 2022.9   First semester

Travel Abroad

  • 2024.3

    Staying countory name 1:United States   Staying institution name 1:University of Maryland

  • 2023.3 - 2023.5

    Staying countory name 1:Belgium   Staying institution name 1:Université Libre de Bruxelles

  • 2022.9 - 2022.10

    Staying countory name 1:United States   Staying institution name 1:University of Maryland

  • 2019.5 - 2019.7

    Staying countory name 1:Belgium   Staying institution name 1:Université Libre de Bruxelles