IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2511.10419.html

Principal component analysis in econometrics: a selective inference perspective

Author

Listed:
  • Yasuyuki Matsumura
  • Chisato Tachibana

Abstract

We study the long-standing problem of determining the number of principal components in econometric applications from a selective inference perspective. We consider i.i.d. observations from a $p$-dimensional random vector with $p

Suggested Citation

  • Yasuyuki Matsumura & Chisato Tachibana, 2025. "Principal component analysis in econometrics: a selective inference perspective," Papers 2511.10419, arXiv.org, revised Dec 2025.
  • Handle: RePEc:arx:papers:2511.10419
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2511.10419
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jianqing Fan & Yuan Ke & Qiang Sun & Wen-Xin Zhou, 2019. "FarmTest: Factor-Adjusted Robust Multiple Testing With Approximate False Discovery Control," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 114(528), pages 1880-1893, October.
    2. Li, Baibing & Martin, Elaine B. & Morris, A. Julian, 2002. "On principal component analysis in L1," Computational Statistics & Data Analysis, Elsevier, vol. 40(3), pages 471-474, September.
    3. Fan, Jianqing & Ke, Yuan & Wang, Kaizheng, 2020. "Factor-adjusted regularized model selection," Journal of Econometrics, Elsevier, vol. 216(1), pages 71-85.
    4. A McCloskey, 2024. "Hybrid confidence intervals for informative uniform asymptotic inference after model selection," Biometrika, Biometrika Trust, vol. 111(1), pages 109-127.
    5. Max Grazier G'Sell & Stefan Wager & Alexandra Chouldechova & Robert Tibshirani, 2016. "Sequential selection procedures and false discovery rate control," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(2), pages 423-444, March.
    6. David McKenzie, 2005. "Measuring inequality with asset indicators," Journal of Population Economics, Springer;European Society for Population Economics, vol. 18(2), pages 229-260, June.
    7. Ryan J. Tibshirani & Jonathan Taylor & Richard Lockhart & Robert Tibshirani, 2016. "Exact Post-Selection Inference for Sequential Regression Procedures," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(514), pages 600-620, April.
    8. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Jingyuan & Sun, Ao & Ke, Yuan, 2024. "A generalized knockoff procedure for FDR control in structural change detection," Journal of Econometrics, Elsevier, vol. 239(2).
    2. Weijie J Su, 2018. "When is the first spurious variable selected by sequential regression procedures?," Biometrika, Biometrika Trust, vol. 105(3), pages 517-527.
    3. Patil, Gopal R. & Sharma, Gajanand, 2022. "Urban Quality of Life: An assessment and ranking for Indian cities," Transport Policy, Elsevier, vol. 124(C), pages 183-191.
    4. Jianqing Fan & Kunpeng Li & Yuan Liao, 2020. "Recent Developments on Factor Models and its Applications in Econometric Learning," Papers 2009.10103, arXiv.org.
    5. Markus Pelger & Jiacheng Zou, 2022. "Inference for Large Panel Data with Many Covariates," Papers 2301.00292, arXiv.org, revised Mar 2023.
    6. Juan Carlos Chávez & Felipe J. Fonseca & Manuel Gómez-Zaldívar, 2017. "Resoluciones de disputas comerciales y desempeño económico regional en México. (Commercial Disputes Resolution and Regional Economic Performance in Mexico)," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(1), pages 79-93, May.
    7. Ariel Pakes & Jack Porter, 2024. "Moment inequalities for multinomial choice with fixed effects," Quantitative Economics, Econometric Society, vol. 15(1), pages 1-25, January.
    8. Zhang, Yuxiang & Liu, Yizao, 2023. "Reducing Added Sugar Intake: The Impact of Updated Nutrition Facts Panel," 2023 Annual Meeting, July 23-25, Washington D.C. 335813, Agricultural and Applied Economics Association.
    9. Chen, Ray-Bing & Chen, Ying & Härdle, Wolfgang K., 2014. "TVICA—Time varying independent component analysis and its application to financial data," Computational Statistics & Data Analysis, Elsevier, vol. 74(C), pages 95-109.
    10. Michael Cohen & Rui Huang, 2012. "Corporate Social Responsibility for Kids’ Sake: A Dynamic Model of Firm Participation," Working Papers 12, University of Connecticut, Department of Agricultural and Resource Economics, Charles J. Zwick Center for Food and Resource Policy.
    11. Ensar Yılmaz & Zeynep Kaplan, 2022. "Heterogeneity of market power: firm-level evidence," Economic Change and Restructuring, Springer, vol. 55(2), pages 1207-1228, May.
    12. Donna, Javier D. & Pereira, Pedro & Trindade, Andre & Yoshida, Renan C., 2020. "Direct-to-Consumer Sales by Manufacturers and Bargaining," MPRA Paper 105773, University Library of Munich, Germany.
    13. Ho, Chun-Yu, 2012. "Market structure, welfare, and banking reform in China," Journal of Comparative Economics, Elsevier, vol. 40(2), pages 291-313.
    14. Jeremy T. Fox, 2010. "Estimating the Employer Switching Costs and Wage Responses of Forward-Looking Engineers," Journal of Labor Economics, University of Chicago Press, vol. 28(2), pages 357-412, April.
    15. Yan Yu Chen & Chun-Cheih Chao & Fu-Chen Liu & Po-Chen Hsu & Hsueh-Fen Chen & Shih-Chi Peng & Yung-Jen Chuang & Chung-Yu Lan & Wen-Ping Hsieh & David Shan Hill Wong, 2013. "Dynamic Transcript Profiling of Candida albicans Infection in Zebrafish: A Pathogen-Host Interaction Study," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-16, September.
    16. Haerang Park, 2021. "Testing for Pricing Behavior in the Mortgage Loan Market," Asian Economic Journal, East Asian Economic Association, vol. 35(3), pages 270-293, September.
    17. Tovar, Jorge, 2012. "Consumers’ Welfare and Trade Liberalization: Evidence from the Car Industry in Colombia," World Development, Elsevier, vol. 40(4), pages 808-820.
    18. Brissimis, Sophocles N. & Delis, Manthos D., 2011. "Bank-level estimates of market power," European Journal of Operational Research, Elsevier, vol. 212(3), pages 508-517, August.
    19. Pereira, Pedro & Ribeiro, Tiago, 2011. "The impact on broadband access to the Internet of the dual ownership of telephone and cable networks," International Journal of Industrial Organization, Elsevier, vol. 29(2), pages 283-293, March.
    20. Putsis, William Jr. & Dhar, Ravi, 2001. "An empirical analysis of the determinants of category expenditure," Journal of Business Research, Elsevier, vol. 52(3), pages 277-291, June.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2511.10419. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.