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Published in: Quality & Quantity 1/2016

12-12-2014

The leading digit distribution of the worldwide illicit financial flows

Author: T. A. Mir

Published in: Quality & Quantity | Issue 1/2016

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Abstract

The illicit financial flows (IFFs) exiting the developing countries are frequently discussed as hidden resources which could have been otherwise properly utilized for their development. Further, in the context of overhaul of the global financial system, necessitated by the current financial crisis, the IFFs have generated a lot of media and public interest which in turn has however also triggered a debate on the validity of these estimates. To look for completeness or rather for possible manipulation of financial data, forensic analysts routinely use a statistical tool called Benford’s law which states that in data sets from different phenomena leading digits tend to be distributed logarithmically such that the numbers beginning with smaller digits occur more often than those with larger ones. In order to gain some insight on their validity we investigate here the recent data on estimates of IFFs for conformity to Benford’s law. We find the patterns in the distribution of the leading digits in the IFFs data similar as predicted by Benford’s law and thereby establish that the frequency of occurrence of the leading digits in these estimates does closely follow the law.

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Literature
go back to reference Benford, F.: The law of anomalous numbers. Proc. Am. Philos. Soc. 78, 551–572 (1938) Benford, F.: The law of anomalous numbers. Proc. Am. Philos. Soc. 78, 551–572 (1938)
go back to reference Berger, A., Hill, T.P.: Benford’s law strikes back: No simple explanation in sight for mathematical gem. Math. Intell. 33(1), 85–91 (2011)CrossRef Berger, A., Hill, T.P.: Benford’s law strikes back: No simple explanation in sight for mathematical gem. Math. Intell. 33(1), 85–91 (2011)CrossRef
go back to reference Durtschi, C., Hillison, W., Pacini, C.: The effective use of Benford’s waw to assist in detecting fraud in accounting data. J. Forensic Account. 1, 17–34 (2004) Durtschi, C., Hillison, W., Pacini, C.: The effective use of Benford’s waw to assist in detecting fraud in accounting data. J. Forensic Account. 1, 17–34 (2004)
go back to reference Giles, D.E.: Benford’s law and naturally occurring prices in certain eBay auctions. Appl. Econ. Lett. 14, 157–161 (2007)CrossRef Giles, D.E.: Benford’s law and naturally occurring prices in certain eBay auctions. Appl. Econ. Lett. 14, 157–161 (2007)CrossRef
go back to reference Hill, T.P.: The significant-digit phenomenon. Am. Math. Mon. 102(4), 322–327 (1995)CrossRef Hill, T.P.: The significant-digit phenomenon. Am. Math. Mon. 102(4), 322–327 (1995)CrossRef
go back to reference Judge, G., Schechter, L.: Detecting problems in survey data using Benford’s law. J. Hum. Resour 44, 1–24 (2009) Judge, G., Schechter, L.: Detecting problems in survey data using Benford’s law. J. Hum. Resour 44, 1–24 (2009)
go back to reference Kar, D., Curcio, K.: Illicit financial flows from developing countries: 2000–2009. Update with a focus on Asia, Global Financial Integrity, Washington DC, (2011). Available at http://econ-jobs.com Kar, D., Curcio, K.: Illicit financial flows from developing countries: 2000–2009. Update with a focus on Asia, Global Financial Integrity, Washington DC, (2011). Available at http://​econ-jobs.​com
go back to reference Kar, D., Freitas, S.: Illicit Financial Flows From Developing Countries Over the Decade Ending 2009. Global Financial Integrity, Washington, D.C (2011) Kar, D., Freitas, S.: Illicit Financial Flows From Developing Countries Over the Decade Ending 2009. Global Financial Integrity, Washington, D.C (2011)
go back to reference Ley, E.: On the peculiar distribution of the U.S. stock indexes’ digits. Am. Stat. 50(4), 311–313 (1996) Ley, E.: On the peculiar distribution of the U.S. stock indexes’ digits. Am. Stat. 50(4), 311–313 (1996)
go back to reference Maher, M., Akers, M.: Using Benford’s law to detect fraud in insurance industry. Int. Buissness Econ. Res. J. 1(2), 1–12 (2002) Maher, M., Akers, M.: Using Benford’s law to detect fraud in insurance industry. Int. Buissness Econ. Res. J. 1(2), 1–12 (2002)
go back to reference Michalski, T., Stoltz, G.: Do countries falsify economic data strategically? Some evidence that they might. Rev. Econ. Stat. 95(2), 591–616 (2013)CrossRef Michalski, T., Stoltz, G.: Do countries falsify economic data strategically? Some evidence that they might. Rev. Econ. Stat. 95(2), 591–616 (2013)CrossRef
go back to reference Mir, T.A.: The law of the leading digits and the world religions. Phys. A: Stat. Mech. Appl. 391, 792–798 (2012)CrossRef Mir, T.A.: The law of the leading digits and the world religions. Phys. A: Stat. Mech. Appl. 391, 792–798 (2012)CrossRef
go back to reference Mir, T.A.: The Benford law behavior of religious activity data. Phys. A: Stat. Mech. Appl. 408, 1–9 (2014)CrossRef Mir, T.A.: The Benford law behavior of religious activity data. Phys. A: Stat. Mech. Appl. 408, 1–9 (2014)CrossRef
go back to reference Mir, T.A., Ausloos, M., Cerqueti, R.: Benford’s law predicted digit distribution of aggregated income taxes: The surprising conformity of Italian cities and regions. Eur. Phys. J. B 87, 261 (2014) Mir, T.A., Ausloos, M., Cerqueti, R.: Benford’s law predicted digit distribution of aggregated income taxes: The surprising conformity of Italian cities and regions. Eur. Phys. J. B 87, 261 (2014)
go back to reference Ndikumana, L., Boyce, J.K.: Measurement of capital flight: Methodology and results for Sub-Saharan African countries. Afr. Dev. Rev. 22(4), 471–481 (2010)CrossRef Ndikumana, L., Boyce, J.K.: Measurement of capital flight: Methodology and results for Sub-Saharan African countries. Afr. Dev. Rev. 22(4), 471–481 (2010)CrossRef
go back to reference Newcomb, S.: Note on the frequency of use of the different digits in natural numbers. Am. J. Math. 4, 39–40 (1881)CrossRef Newcomb, S.: Note on the frequency of use of the different digits in natural numbers. Am. J. Math. 4, 39–40 (1881)CrossRef
go back to reference Nigrini, M.J.: Taxpayer compliance application of Benford’s law. J. Am Tax. Assoc. 18(1), 72–92 (1996) Nigrini, M.J.: Taxpayer compliance application of Benford’s law. J. Am Tax. Assoc. 18(1), 72–92 (1996)
go back to reference Nigrini, M.J., Mittermaier, L.J.: The use of Benford’s law as an aid in analytical procedures. Audit.: J. Pract. Theory 16(2), 52–67 (1997) Nigrini, M.J., Mittermaier, L.J.: The use of Benford’s law as an aid in analytical procedures. Audit.: J. Pract. Theory 16(2), 52–67 (1997)
go back to reference Nigrini, M.J.: Benford’s law: Applications for Forensic Accounting, Auditing and Fraud Detection. Wiley Publications, Hoboken (2012)CrossRef Nigrini, M.J.: Benford’s law: Applications for Forensic Accounting, Auditing and Fraud Detection. Wiley Publications, Hoboken (2012)CrossRef
go back to reference Nye, J., Moul, C.: The political economy of numbers: On the application of Benford’s law to international macroeconomic statistics. BE J. Macroecon., 7(1), article 17 (2007). Nye, J., Moul, C.: The political economy of numbers: On the application of Benford’s law to international macroeconomic statistics. BE J. Macroecon., 7(1), article 17 (2007).
go back to reference Pain, J.C.: Benford’s law and complex atomic spectra. Phys. Rev. E 77, 012102 (2008)CrossRef Pain, J.C.: Benford’s law and complex atomic spectra. Phys. Rev. E 77, 012102 (2008)CrossRef
go back to reference Pietroneroa, L., Tosatti, E., Tosatti, V., Vespignani, A.: Explaining the uneven distribution of numbers in nature: The laws of Benford and Zipf. Phys. A: Stat. Mech. Appl. 293, 297–304 (2001)CrossRef Pietroneroa, L., Tosatti, E., Tosatti, V., Vespignani, A.: Explaining the uneven distribution of numbers in nature: The laws of Benford and Zipf. Phys. A: Stat. Mech. Appl. 293, 297–304 (2001)CrossRef
go back to reference Pinkham, R.S.: On the distribution of first signcant digits. Ann. Math. Stat. 32, 1223–1230 (1961)CrossRef Pinkham, R.S.: On the distribution of first signcant digits. Ann. Math. Stat. 32, 1223–1230 (1961)CrossRef
go back to reference Rauch, B., Gottsche, M., Brahler, G., Engel, S.: Fact and fiction in EU-Governmental economic data. Ger. Econ. Rev. 12(3), 243–255 (2011)CrossRef Rauch, B., Gottsche, M., Brahler, G., Engel, S.: Fact and fiction in EU-Governmental economic data. Ger. Econ. Rev. 12(3), 243–255 (2011)CrossRef
go back to reference Sambridge, M., Tkali, H., Jackson, A.: Benford’s law in the natural sciences. Geophys. Res. Lett. A 37(L22301), 1–5 (2010) Sambridge, M., Tkali, H., Jackson, A.: Benford’s law in the natural sciences. Geophys. Res. Lett. A 37(L22301), 1–5 (2010)
go back to reference Sandron, F.: Do populations conform to the law of anomalous numbers? Population 57, 755–761 (2002)CrossRef Sandron, F.: Do populations conform to the law of anomalous numbers? Population 57, 755–761 (2002)CrossRef
go back to reference Shao, L., Ma, B.Q.: First digit distribution of hadron full width. Mod. Phys. Lett. A 24, 3275–3282 (2009)CrossRef Shao, L., Ma, B.Q.: First digit distribution of hadron full width. Mod. Phys. Lett. A 24, 3275–3282 (2009)CrossRef
go back to reference Steele, M., Chaseling, J.: Power of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions. Commun. Stat. Simul. Comput. 35, 1067–1075 (2006)CrossRef Steele, M., Chaseling, J.: Power of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions. Commun. Stat. Simul. Comput. 35, 1067–1075 (2006)CrossRef
go back to reference Varian, H.: Benford’s law. Am. Stat. 23, 65–66 (1972) Varian, H.: Benford’s law. Am. Stat. 23, 65–66 (1972)
Metadata
Title
The leading digit distribution of the worldwide illicit financial flows
Author
T. A. Mir
Publication date
12-12-2014
Publisher
Springer Netherlands
Published in
Quality & Quantity / Issue 1/2016
Print ISSN: 0033-5177
Electronic ISSN: 1573-7845
DOI
https://doi.org/10.1007/s11135-014-0147-z

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