Application of Benford’s law to detect signs of under-invoicing in companies in the restaurant sector during the COVID-19 pandemic

[1] Afonso, V., & Calisto, M. L. (2023). Covid-19 and the Portuguese accommodation sector. European Journal of Tourism, Hospitality and Recreation, 13(1), 49–55. https://doi.org/10.2478/ejthr-2023-0005 Afonso V. Calisto M. L. ( 2023 ). Covid-19 and the Portuguese accommodation sector . European Journal of Tourism, Hospitality and Recreation , 13 ( 1 ), 49 – 55 . https://doi.org/10.2478/ejthr-2023-0005 Search in Google Scholar

[2] Aybars, A., & Ataunal, L. (2016). An application of Benford’s law to fundamental accounting figures reported by borsa istanbul (bist) companies. Journal of Economics, Finance and Accounting, 3(3), 234–243. https://pressacademia.org/archives/jefa/v3/i3/6.pdf Aybars A. Ataunal L. ( 2016 ). An application of Benford’s law to fundamental accounting figures reported by borsa istanbul (bist) companies . Journal of Economics, Finance and Accounting , 3 ( 3 ), 234 – 243 . https://pressacademia.org/archives/jefa/v3/i3/6.pdf Search in Google Scholar

[3] Banco de Portugal. (2020a). Boletim Económico – Junho 2020 [Economic Bulletin-June 2020]. https://www.bportugal.pt/sites/default/files/anexos/pdf-boletim/be_jun2020_p.pdf Banco de Portugal . ( 2020a ). Boletim Económico – Junho 2020 [Economic Bulletin-June 2020] . https://www.bportugal.pt/sites/default/files/anexos/pdf-boletim/be_jun2020_p.pdf Search in Google Scholar

[4] Banco de Portugal. (2020b). Quais os impactos da COVID-19 nas empresas? [What are the impacts of COVID-19 on companies?].https://www.bportugal.pt/page/quais-os-impactos-do-covid-19-na-eco-nomia-portuguesa Banco de Portugal . ( 2020b ). Quais os impactos da COVID-19 nas empresas? [What are the impacts of COVID-19 on companies?] . https://www.bportugal.pt/page/quais-os-impactos-do-covid-19-na-eco-nomia-portuguesa Search in Google Scholar

[5] Burgstahler, D., & Dichev, I. (1997). Earnings management to avoid earnings decreases and losses. Journal of Accounting and Economics, 24(1), 99–126. https://doi.org/10.1016/S0165-4101(97)00017-7 Burgstahler D. Dichev I. ( 1997 ). Earnings management to avoid earnings decreases and losses . Journal of Accounting and Economics , 24 ( 1 ), 99 – 126 . https://doi.org/10.1016/S0165-4101(97)00017-7 Search in Google Scholar

[6] Campobasso, F., Borgia, M. S., & Albergo, F. (2023). Facing the storm: Lessons from corporate social responsibility during the covid pandemic. Corporate Social Responsibility and Environmental Management, 30(6), 3174–3188. https://doi.org/10.1002/CSR.2545 Campobasso F. Borgia M. S. Albergo F. ( 2023 ). Facing the storm: Lessons from corporate social responsibility during the covid pandemic . Corporate Social Responsibility and Environmental Management , 30 ( 6 ), 3174 – 3188 . https://doi.org/10.1002/CSR.2545 Search in Google Scholar

[7] Carslaw, C. A. P. (1988). Anomalies in Income Numbers: Evidence of Goal Oriented Behaviour. American Accounting Association, 63(2), 321–327. https://www.jstor.org/stable/248109 Carslaw C. A. P. ( 1988 ). Anomalies in Income Numbers: Evidence of Goal Oriented Behaviour . American Accounting Association , 63 ( 2 ), 321 – 327 . https://www.jstor.org/stable/248109 Search in Google Scholar

[8] Ciotti, M., Ciccozzi, M., Terrinoni, A., Jiang, W. –C., Wang, C. –B., & Bernardini, S. (2020). The COVID-19 pandemic. Critical Reviews in Clinical Laboratory Sciences, 57(6), 1–24. https://doi.org/10.1080/10408363.2020.1783198 Ciotti M. Ciccozzi M. Terrinoni A. Jiang W.–C. Wang C.–B. Bernardini S. ( 2020 ). The COVID-19 pandemic . Critical Reviews in Clinical Laboratory Sciences , 57 ( 6 ), 1 – 24 . https://doi.org/10.1080/10408363.2020.1783198 Search in Google Scholar

[9] Collins, J. C. (2017, April 1). Using excel and Benford’s Law to detect fraud. Journal of Accountancy.https://www.journalofaccountancy.com/issues/2017/apr/excel-and-benfords-law-to-detect-fraud.html Collins J. C. ( 2017 , April 1 ). Using excel and Benford’s Law to detect fraud . Journal of Accountancy . https://www.journalofaccountancy.com/issues/2017/apr/excel-and-benfords-law-to-detect-fraud.html Search in Google Scholar

[10] Dharni, V. (2020). Deshelling the Shell Companies Using Benford’s Law: An Emerging Market Study. Vikalpa: The Journal for Decision Makers, 45(3), 160–169. http://doi.org//10.1177/0256090920979695 Dharni V. ( 2020 ). Deshelling the Shell Companies Using Benford’s Law: An Emerging Market Study . Vikalpa: The Journal for Decision Makers , 45 ( 3 ), 160 – 169 . http://doi.org//10.1177/0256090920979695 Search in Google Scholar

[11] Drake, P. D., & Nigrini, M. J. (2000). Computer assisted analytical procedures using Benford’s law. Jounal of Accounting Education, 18(2), 127–146. https://doi.org/10.1016/S0748-5751(00)00008-7 Drake P. D. Nigrini M. J. ( 2000 ). Computer assisted analytical procedures using Benford’s law . Jounal of Accounting Education , 18 ( 2 ), 127 – 146 . https://doi.org/10.1016/S0748-5751(00)00008-7 Search in Google Scholar

[12] Durtschi, C., Hillison, W., & Pacini, C. (2004). The Effective Use of Benford’s Law to Assist in Detecting Fraud in Accounting Data. Journal of Forensic Accounting, 5(1), 17–34. https://www. researchgate.net/publication/241401706_The_ Effective_Use_of_Benford’s_Law_to_Assist_in_ Detecting_Fraud_in_Accounting_Data Durtschi C. Hillison W. Pacini C. ( 2004 ). The Effective Use of Benford’s Law to Assist in Detecting Fraud in Accounting Data . Journal of Forensic Accounting , 5 ( 1 ), 17 – 34 . https://www.researchgate.net/publication/241401706_The_Effective_Use_of_Benford’s_Law_to_Assist_in_Detecting_Fraud_in_Accounting_Data Search in Google Scholar

[13] Gomes, C., Campos, F., Malheiros, C., & Lima Santos, L. (2023). Restaurants’ Solvency in Portugal during COVID-19. International Journal of Financial Studies, 11(2), 1–16. https://doi.org/10.3390/IJFS11020063 Gomes C. Campos F. Malheiros C. Lima Santos L. ( 2023 ). Restaurants’ Solvency in Portugal during COVID-19 . International Journal of Financial Studies , 11 ( 2 ), 1 – 16 . https://doi.org/10.3390/IJFS11020063 Search in Google Scholar

[14] Gong, Y., Li, J., Xu, Z., & Li, G. (2022). Detecting Financial Fraud using Two Types of Benford Factors: Evidence from China. Procedia Computer Science, 214(2022), 656–663. http://doi.org//10.1016/j.procs.2022.11.225 Gong Y. Li J. Xu Z. Li G. ( 2022 ). Detecting Financial Fraud using Two Types of Benford Factors: Evidence from China . Procedia Computer Science , 214 ( 2022 ), 656 – 663 . http://doi.org//10.1016/j.procs.2022.11.225 Search in Google Scholar

[15] Green, B. P., & Calderon T. G. (1994). Using real-world cases to illustrate the power of analytical procedures. Journal of Accounting Education, 12(3), 245–268. https://doi.org/10.1016/0748-5751(94)90035-3 Green B. P. Calderon T. G. ( 1994 ). Using real-world cases to illustrate the power of analytical procedures . Journal of Accounting Education , 12 ( 3 ), 245 – 268 . https://doi.org/10.1016/0748-5751(94)90035-3 Search in Google Scholar

[16] Janzen, B., & Radulescu, D. (2022). Effects of COVID-19 related government response stringency and support policies: Evidence from European firms. Economic Analysis and Policy, 76(2022), 129–145. https://doi.org/10.1016/J.EAP.2022.07.013 Janzen B. Radulescu D. ( 2022 ). Effects of COVID-19 related government response stringency and support policies: Evidence from European firms . Economic Analysis and Policy , 76 ( 2022 ), 129 – 145 . https://doi.org/10.1016/J.EAP.2022.07.013 Search in Google Scholar

[17] Mamede, R., Pereira, M., & Simões, A. (2020, June 26). Portugal: A rapid analysis of the impact of covid-19 on the economy and labour market. International Labour Organisation. https://www. =ilo.org/publications/portugal-rapid-assessment-impact-covid-19-economy-and-labour-market Mamede R. Pereira M. Simões A. ( 2020 , June 26 ). Portugal: A rapid analysis of the impact of covid-19 on the economy and labour market . International Labour Organisation . https://www.ilo.org/publications/portugal-rapid-assessment-impact-covid-19-economy-and-labour-market Search in Google Scholar

[18] Nigrini, M. J. (2005). An assessment of the Change in the Incidence of Earnings Management Around the Enron-Andersen Episode. Review of Accounting and Finance, 4(1), 92–110. http://doi.org/10.1108/eb043420 Nigrini M. J. ( 2005 ). An assessment of the Change in the Incidence of Earnings Management Around the Enron-Andersen Episode . Review of Accounting and Finance , 4 ( 1 ), 92 – 110 . http://doi.org/10.1108/eb043420 Search in Google Scholar

[19] Nigrini, M. J. (2011). Forensic Analytics: Methods and Techniques for Forensic Accounting Investigations. John Wiley & Sons, Inc. Nigrini M. J. ( 2011 ). Forensic Analytics: Methods and Techniques for Forensic Accounting Investigations . John Wiley & Sons, Inc . Search in Google Scholar

[20] Nigrini, M. J., & Mittermaier, L. J. (1997). The use of Benford’s Law as an aid in analytical procedures. Auditing: A Journal of Practice & Theory, 16(2), 52–67. https://www.proquest.com/scholarly-journals/use-benfords-law-as-aid-analytical-procedu-res/docview/216734639/se-2 Nigrini M. J. Mittermaier L. J. ( 1997 ). The use of Benford’s Law as an aid in analytical procedures . Auditing: A Journal of Practice & Theory , 16 ( 2 ), 52 – 67 . https://www.proquest.com/scholarly-journals/use-benfords-law-as-aid-analytical-procedu-res/docview/216734639/se-2 Search in Google Scholar

[21] Niskanen, J., & Keloharju, M. (2000). Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms. European Accounting Review, 9(3), 443-452. http://doi.org/10.1080/09638180020017159 Niskanen J. Keloharju M. ( 2000 ). Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms . European Accounting Review , 9 ( 3 ), 443 - 452 . http://doi.org/10.1080/09638180020017159 Search in Google Scholar

[22] Oikawa, M., & Onishi, K. (2024). Impact of financial support expansion on restaurant entries and exits during the COVID-19 pandemic. Small Business Economics, 1(1), 1–45. https://doi.org/10.1007/s11187-024-00912-4 Oikawa M. Onishi K. ( 2024 ). Impact of financial support expansion on restaurant entries and exits during the COVID-19 pandemic . Small Business Economics , 1 ( 1 ), 1 – 45 . https://doi.org/10.1007/s11187-024-00912-4 Search in Google Scholar

[23] Pupokusumo, A. W., Handoko, B. L., Willy, Ricky, & Hendra, E. (2022). Benford’s Law as a tool in detecting financial statement fraud. Journal of Theoretical and Applied Information Technology, 100(14), 5300–5305. https://www.jatit.org/volumes/Vol100No14/23Vol100No14.pdf Pupokusumo A. W. Handoko B. L. Willy Ricky Hendra E. ( 2022 ). Benford’s Law as a tool in detecting financial statement fraud . Journal of Theoretical and Applied Information Technology , 100 ( 14 ), 5300 – 5305 . https://www.jatit.org/volumes/Vol100No14/23Vol100No14.pdf Search in Google Scholar

[24] Sequeira, A., Manteu, C., & Monteiro, N. (2020). The short-term impact of the covid-19 pandemic on Portuguese companies. Banco de Portugal. https://www.bportugal.pt/en/paper/short-term-impact-covid-19-pandemic-portuguese-companies Sequeira A. Manteu C. Monteiro N. ( 2020 ). The short-term impact of the covid-19 pandemic on Portuguese companies . Banco de Portugal . https://www.bportugal.pt/en/paper/short-term-impact-covid-19-pandemic-portuguese-companies Search in Google Scholar

[25] Slijepčevic, S., & Blašković, B. (2014). Statistical detection of fraud in the reporting of Croatian public companies. Financial Theory and Practice, 38(1), 81–96. https://www.researchgate.net/publication/309103808_Statistical_detection_of_ fraud_in_the_reporting_of_Croatian_public_companies Slijepčevic S. Blašković B. ( 2014 ). Statistical detection of fraud in the reporting of Croatian public companies . Financial Theory and Practice , 38 ( 1 ), 81 – 96 . https://www.researchgate.net/publication/309103808_Statistical_detection_of_fraud_in_the_reporting_of_Croatian_public_companies Search in Google Scholar

[26] Strange, R. (2020). The 2020 Covid19 pandemic and global value chains. Journal of Industrial and Business Economics, 47(2020), 455–465. https://doi.org/10.1007/s40812-020-00162-x Strange R. ( 2020 ). The 2020 Covid19 pandemic and global value chains . Journal of Industrial and Business Economics , 47 ( 2020 ), 455 – 465 . https://doi.org/10.1007/s40812-020-00162-x Search in Google Scholar

[27] Swanson, D., Cho, M. J., & Eltinge, J. (2003). Detecting Possibly Fraudulent or Error-Prone Survey Data Using Benford’s Law. Bureau of Labor Statistics, 1(1), 4172–4177. http://www.asasrms.org/Proceedings/y2003/Files/JSM2003-000205.pdf Swanson D. Cho M. J. Eltinge J. ( 2003 ). Detecting Possibly Fraudulent or Error-Prone Survey Data Using Benford’s Law . Bureau of Labor Statistics , 1 ( 1 ), 4172 – 4177 . http://www.asasrms.org/Proceedings/y2003/Files/JSM2003-000205.pdf Search in Google Scholar

[28] Thomas, J. K. (1989). Unusual Patterns in Reported Earnings. The Accounting Review, 64(4), 773–787. https://www.jstor.org/stable/247861 Thomas J. K. ( 1989 ). Unusual Patterns in Reported Earnings . The Accounting Review , 64 ( 4 ), 773 – 787 . https://www.jstor.org/stable/247861 Search in Google Scholar

Decree-Law no. 10-J/2020 of Presidência do Conselho de Ministros. (2020). Diário da República: I Série, n.^o̲ 61. https://dre.pt/dre/detalhe/decreto-lei/10-j-2020-130779509 Decree-Law no. 10-J/2020 of Presidência do Conselho de Ministros . ( 2020 ). Diário da República: I Série , n.^o̲ 61 . https://dre.pt/dre/detalhe/decreto-lei/10-j-2020-130779509 Search in Google Scholar

Decree-Law no. 46-A/2020 of Presidência do Conselho de Ministros. (2020). Diário da República: I Série, n.^o̲ 147. https://dre.pt/dre/legislacao-consolidada/decreto-lei/2020-145714432 Decree-Law no. 46-A/2020 of Presidência do Conselho de Ministros . ( 2020 ). Diário da República: I Série , n.^o̲ 147 . https://dre.pt/dre/legislacao-consolidada/decreto-lei/2020-145714432 Search in Google Scholar

Decree-Law no. 90/2020 of Presidência do Conselho de Ministros. (2020). Diário da República: I Sé-rie, n.^o̲ 203. https://dre.pt/dre/detalhe/decreto-lei/90-2020-145714398 Decree-Law no. 90/2020 of Presidência do Conselho de Ministros . ( 2020 ). Diário da República: I Sé-rie , n.^o̲ 203 . https://dre.pt/dre/detalhe/decreto-lei/90-2020-145714398 Search in Google Scholar

Decree-Law no. 103-A/2020 of Presidência do Conselho de Ministros. (2020). Diário da República: I Série, n.^o̲ 242. https://dre.pt/dre/detalhe/decreto-lei/103-a-2020-151194544 Decree-Law no. 103-A/2020 of Presidência do Conselho de Ministros . ( 2020 ). Diário da República: I Série , n.^o̲ 242 . https://dre.pt/dre/detalhe/decreto-lei/103-a-2020-151194544 Search in Google Scholar

Ministerial Order no. 271-A/2020 of Economia e Tran-sição Digital, Finanças e Planeamento. (2020). Diário da República: I Série, n.^o̲ 229. https://files.dre.pt/1s/2020/11/22902/0000200011.pdf Ministerial Order no. 271-A/2020 of Economia e Tran-sição Digital, Finanças e Planeamento . ( 2020 ). Diário da República: I Série , n.^o̲ 229 . https://files.dre.pt/1s/2020/11/22902/0000200011.pdf Search in Google Scholar

Ministerial Order no. 15-B/2021 of Economia e Tran-sição Digital, Finanças e Planeamento. (2021). Diário da República: I Série, n.^o̲ 10. https://files.dre.pt/1s/2021/01/01002/0001200034.pdf Ministerial Order no. 15-B/2021 of Economia e Tran-sição Digital, Finanças e Planeamento . ( 2021 ). Diário da República: I Série , n.^o̲ 10 . https://files.dre.pt/1s/2021/01/01002/0001200034.pdf Search in Google Scholar

Ministerial Order no. 69-A/2021 of Economia e Transição Digital, Finanças e Planeamento. (2021). Diário da República: I Série, n.^o̲ 58. https://diariodarepublica. pt/dr/detalhe/portaria/69-a-2021-160195066 Ministerial Order no. 69-A/2021 of Economia e Transição Digital, Finanças e Planeamento . ( 2021 ). Diário da República: I Série , n.^o̲ 58 . https://diariodarepublica.pt/dr/detalhe/portaria/69-a-2021-160195066 Search in Google Scholar