IDEAS home Printed from https://ideas.repec.org/a/inp/inpana/v6y2013i2p51-66.html
   My bibliography  Save this article

Simulación estocástica de esquemas piramidales tipo Ponzi

Author

Listed:
  • Lilia Quituisaca-Samaniego

    (Dirección de Estudios Analíticos Estadísticos, Instituto Nacional de Estadística y Censos, Quito, Ecuador)

  • Juan Mayorga-Zambrano

    (Pontificia Universidad Católica del Ecuador - Sede Ambato, Ambato, Ecuador)

  • Paúl Medina

    (Instituto Gregorio Millán, Universidad Carlos III de Madrid, Madrid, España
    Departamento de Ciencias Exactas, Universidad de la Fuerzas Armadas ESPE, Quito, Ecuador)

Abstract

Mediante simulación, se estudian varios casos de fraude provocados por pirámides financieras tipo Ponzi (incluyendo los casos Madoff, DRFE y Cabrera); la técnica empleada corresponde a la implementación computacional de un modelo estocástico diseñado por J. Mayorga-Zambrano. Se comparan datos reales con aquellos generados por el software implementado; en particular, se estudia la evolución del número de clientes, del monto de estafa y del tiempo estimado de duración de la pirámide.

Suggested Citation

  • Lilia Quituisaca-Samaniego & Juan Mayorga-Zambrano & Paúl Medina, 2013. "Simulación estocástica de esquemas piramidales tipo Ponzi," Analítika, Analítika - Revista de Análisis Estadístico/Journal of Statistical Analysis, vol. 6(2), pages 51-66, Diciembre.
  • Handle: RePEc:inp:inpana:v:6:y:2013:i:2:p:51-66
    as

    Download full text from publisher

    File URL: http://www.numericaiid.com/pdf/vol6/ANADic2013_51_66.pdf
    Download Restriction: no

    File URL: http://www.numericaiid.com/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Juan Mayorga-Zambrano, 2011. "Un modelo matemático para esquemas piramidales tipo Ponzi," Analítika, Analítika - Revista de Análisis Estadístico/Journal of Statistical Analysis, vol. 1(1), pages 123-133, Junio.
    2. Artzrouni, Marc, 2009. "The mathematics of Ponzi schemes," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 190-201, September.
    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. Parodi, Bernhard R., 2014. "A Ponzi scheme exposed to volatile markets," MPRA Paper 60584, University Library of Munich, Germany.
    2. Ajithakumari Vijayappan Nair Biju & Ann Susan Thomas, 2023. "Uncertainties and ambivalence in the crypto market: an urgent need for a regional crypto regulation," SN Business & Economics, Springer, vol. 3(8), pages 1-21, August.
    3. Mário Cunha & Hélder Valente & Paulo B. Vasconcelos, 2013. "Ponzi schemes: computer simulation," OBEGEF Working Papers 023, OBEGEF - Observatório de Economia e Gestão de Fraude;OBEGEF Working Papers on Fraud and Corruption.
    4. Phuong Duy Huynh & Son Hoang Dau & Xiaodong Li & Phuc Luong & Emanuele Viterbo, 2023. "Improving the Accuracy of Transaction-Based Ponzi Detection on Ethereum," Papers 2308.16391, arXiv.org, revised Jul 2024.
    5. Zhu, Anding & Fu, Peihua & Zhang, Qinghe & Chen, Zhenyue, 2017. "Ponzi scheme diffusion in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 128-136.
    6. Chengxiang Jin & Jiajun Zhou & Jie Jin & Jiajing Wu & Qi Xuan, 2022. "Time-aware Metapath Feature Augmentation for Ponzi Detection in Ethereum," Papers 2210.16863, arXiv.org, revised Apr 2024.
    7. DUGULEANĂ Andreea Raluca & TĂNĂSESCU Cristina Roxana & DUGULEANĂ Mihai, 2024. "A New Approach To Create Sustained Ponzi-Like Systems By Incorporating Perpetual Liquidity And Time Epochs," Management of Sustainable Development, Lucian Blaga University of Sibiu, Faculty of Economic Sciences, vol. 16(1), pages 37-44, June.
    8. Parodi, Bernhard R., 2013. "Abc-Modell eines Ponzi-Systems [Abc-model of a Ponzi system]," MPRA Paper 45083, University Library of Munich, Germany.
    9. Yong Shi & Bo Li & Wen Long, 2019. "A Pyramid Scheme Model Based on "Consumption Rebate" Frauds," Papers 1904.08136, arXiv.org, revised Jun 2019.
    10. Misha Perepelitsa, 2021. "Investing in crypto: speculative bubbles and cyclic stochastic price pumps," Papers 2111.11315, arXiv.org, revised Oct 2022.
    11. Hofstetter, Marc & Mejía, Daniel & Rosas, José Nicolás & Urrutia, Miguel, 2018. "Ponzi schemes and the financial sector: DMG and DRFE in Colombia," Journal of Banking & Finance, Elsevier, vol. 96(C), pages 18-33.
    12. Juan Mayorga-Zambrano, 2011. "Un modelo matemático para esquemas piramidales tipo Ponzi," Analítika, Analítika - Revista de Análisis Estadístico/Journal of Statistical Analysis, vol. 1(1), pages 123-133, Junio.
    13. Sara Cerasoli & Amilcare Porporato, 2023. "Optimal Resource Allocation for Carbon Mitigation," Sustainability, MDPI, vol. 15(13), pages 1-22, June.

    More about this item

    Keywords

    modelamiento matemático; pirámides financieras; esquemas Ponzi; procesos estocásticos; simulación;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

    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:inp:inpana:v:6:y:2013:i:2:p:51-66. 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: the person in charge (email available below). General contact details of provider: http://www.numericaiid.com .

    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.