IDEAS home Printed from https://ideas.repec.org/p/zbw/bubdps/022013.html
   My bibliography  Save this paper

A distribution-free test for outliers

Author

Listed:
  • Candelon, Bertrand
  • Metiu, Norbert

Abstract

Determining whether a data set contains one or more outliers is a challenge commonly faced in applied statistics. This paper introduces a distribution-free test for multiple outliers in data drawn from an unknown data generating process. Besides, a sequential algorithm is proposed in order to identify the outlying observations in the sample. Our methodology relies on a two-stage nonparametric bootstrap procedure. Monte Carlo experiments show that the proposed test has good asymptotic properties, even for relatively small samples and heavy tailed distributions. The new outlier detection test could be instrumental in a wide range of statistical applications. The empirical performance of the test is illustrated by means of two examples in the fields of aeronautics and macroeconomics.

Suggested Citation

  • Candelon, Bertrand & Metiu, Norbert, 2013. "A distribution-free test for outliers," Discussion Papers 02/2013, Deutsche Bundesbank.
    • Handle: RePEc:zbw:bubdps:022013
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/68604/1/735352828.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. John Walsh, 1959. "Large sample nonparametric rejection of outlying observations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 10(3), pages 223-232, September.
    2. Carmen M. Reinhart & Kenneth S. Rogoff, 2011. "From Financial Crash to Debt Crisis," American Economic Review, American Economic Association, vol. 101(5), pages 1676-1706, August.
    3. Kindleberger, Charles P., 1991. "The Economic Crisis of 1619 to 1623," The Journal of Economic History, Cambridge University Press, vol. 51(1), pages 149-175, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fricke, Christoph & Menkhoff, Lukas, 2015. "Financial conditions, macroeconomic factors and disaggregated bond excess returns," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 80-94.
    2. Candelon, Bertrand & Metiu, Norbert & Straetmans, Stefan, 2013. "Disentangling economic recessions and depressions," Discussion Papers 43/2013, Deutsche Bundesbank.
    3. Namrata Chaudhary & Drimik Roy Chowdhury, 2019. "Data Preprocessing for Evaluation of Recommendation Models in E-Commerce," Data, MDPI, vol. 4(1), pages 1-22, January.

    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. Zaman, Gheorghe & Georgescu, George, 2016. "Provocări în perioada tranziției la economia de piață în România. Creșterea gradului de îndatorare externă și internă [Challenges facing Romania during the period of transition to a market-based ec," MPRA Paper 70740, University Library of Munich, Germany.
    2. Haichao Fan & Xiang Gao, 2017. "Domestic Creditor Rights and External Private Debt," Economic Journal, Royal Economic Society, vol. 127(606), pages 2410-2440, November.
    3. Mazumder, Sandeep, 2014. "Determinants of the sacrifice ratio: Evidence from OECD and non-OECD countries," Economic Modelling, Elsevier, vol. 40(C), pages 117-135.
    4. Ana Kristel Lapid & Rogelio Mercado & Peter Rosenkranz, 2023. "Concentration in Asia's cross‐border banking: Determinants and impacts," Pacific Economic Review, Wiley Blackwell, vol. 28(2), pages 267-292, May.
    5. Thanh C. Nguyen & Vítor Castro & Justine Wood, 2022. "Political environment and financial crises," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 417-438, January.
    6. Bülent Köksal & Cüneyt Orman, 2015. "Determinants of capital structure: evidence from a major developing economy," Small Business Economics, Springer, vol. 44(2), pages 255-282, February.
    7. Anton Velinov, 2014. "Assessing the Sustainability of Government Debt: On the Different States of the Debt/GDP Process," Discussion Papers of DIW Berlin 1359, DIW Berlin, German Institute for Economic Research.
    8. Wegener, Christoph & Kruse, Robinson & Basse, Tobias, 2019. "The walking debt crisis," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 382-402.
    9. Reischmann, Markus, 2016. "Creative accounting and electoral motives: Evidence from OECD countries," Journal of Comparative Economics, Elsevier, vol. 44(2), pages 243-257.
    10. Stijn Claessens & M. Ayhan Kose, 2013. "Financial Crises: Explanations, Types and Implications," CAMA Working Papers 2013-06, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    11. Jack Bekooij & Jon Frost & Remco van der Molen & Krzysztof Muzalewski, 2016. "Hazardous tango: Sovereign-bank interdependencies across countries and time," DNB Working Papers 541, Netherlands Central Bank, Research Department.
    12. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "The Peril of Fiscal Rules," Post-Print hal-02314996, HAL.
    13. R. Anton Braun & Tomoyuki Nakajima, 2011. "Making the Case for a Low Intertemporal Elasticity of Substitution," KIER Working Papers 788, Kyoto University, Institute of Economic Research.
    14. Boonman, T.M. & Jacobs, J.P.A.M. & Kuper, G.H., 2013. "Sovereign debt crises in Latin America," Research Report 13016-EEF, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    15. James B. Ang & Jakob B. Madsen, 2012. "Risk capital, private credit, and innovative production," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(4), pages 1608-1639, November.
    16. Giovanni Andrea Cornia, 2012. "The New Structuralist Macroeconomics and Income Inequality," Working Papers - Economics wp2012_25.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    17. Christian Volpe Martincus, 2016. "Out of the Border Labyrinth: An Assessment of Trade Facilitation Initiatives in Latin America and the Caribbean," IDB Publications (Books), Inter-American Development Bank, number 96856, February.
    18. Said-Nour Samake, 2022. "Prudential Regulation and Bank Efficiency : Evidence from WAEMU Zone," Working Papers hal-03540209, HAL.
    19. Georgescu, George, 2023. "The strange case of Romania’s Nicolae Ceaușescu: when the liquidation of sovereign debt results in country total damaging," MPRA Paper 117196, University Library of Munich, Germany.
    20. Bruce N. Lehmann & David M. Modest, 1985. "The Empirical Foundations of the Arbitrage Pricing Theory I: The Empirical Tests," NBER Working Papers 1725, National Bureau of Economic Research, Inc.

    More about this item

    Keywords

    bootstrap; mode testing; nonparametric statistics; outlier detection;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

    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:zbw:bubdps:022013. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/dbbgvde.html .

    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.