Nagasaka, K (1984). On Benford's Law. Annals of the Institute of Statistical Mathematics 36(2), pp. 337-352. ISSN/ISBN:0020-3157. DOI:10.1007/BF02481974.
|
 |
|
|
|
Nagasaka, K (2008). Benford’s Law to Base g of Order r in the Sense of a Certain Density. Short talk at: Colloque international sur la répartition uniforme, Marseille, January 2008.
|
 |
|
|
|
Nagasaka, K, Kanemitsu, S and Shiue, JS (1990). Benford’s law: The logarithmic law of first digit. In: Győry, K, Halász, G. (eds.) Number theory. Vol. I. Elementary and analytic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, pp. 361-391 .
|
 |
|
|
|
Nagasaka, K and Shiue, JS (1986). Benford’s law for linear recurrence sequences. pp 33-54 in: Transcendental numbers and related topics. Proceedings of the Symposium in Kyoto, April 23-25, 1986, by Research Institute for Mathematical Sciences. Kyoto: Kyoto University.
|
 |
|
|
|
Nagasaka, K and Shiue, JS (1987). Benford's law for linear recurrence sequences. Tsukuba Journal of Mathematics 11(2), pp. 341-351.
|
 |
|
|
|
Nakamura, J, Lall, U, Kushnir, Y and Harr, PA (2022). A Saturated Stochastic Simulator: Synthetic US Gulf Coast Tropical Cyclone Precipitation Fields. Preprint posted on ResearchSquare. DOI:10.21203/rs.3.rs-1895622/v1.
|
 |
|
|
|
Nakatoh, T, Suzuki, T, Kamimasu. Y and Hirokawa. S (2020). Detection of Unnatural Parts of Statistical Data. Information Engineering Express 6(2), pp. 20 – 36.
|
 |
|
|
|
Nasser, L (2020). Digits. Netflix series - Connected: The Hidden Science of Everything, Episode 4.
|
 |
|
|
|
Natashekara, K (2021). COVID-19 cases in India and Kerala: a Benford’s law analysis. Journal of Public Health, fdab199. DOI:10.1093/pubmed/fdab199.
|
 |
|
|
|
Nebel, J-C and Pezzulli, S (2012). Distribution of Human Genes Observes Zipf's Law. Kingston University Research & Innovation Reports (KURIR), Vol. 8, 2012. ISSN/ISBN:1749-5652.
|
 |
|
|
|
Negi, A and Singh, K (2023). Detection of Red Flags in Coronavirus Vaccination Data Available in Public Domain. Juni Khyat (UGC Care Group I Listed Journal) 13(08), No.03. ISSN/ISBN:2278-4632.
|
 |
|
|
|
Nelson, LS (1984). Display Tables and Significant Digits. Journal of Quality Technology 16(3), pp. 175-176. ISSN/ISBN:0022-4065.
|
 |
|
|
|
Nelson, SP, Wickman, B, Null, J and Gazin, E (2021). An evaluation of music’s adherence to Benford’s Law throughout history. Journal of Mathematical Sciences: Advances and Applications 67(1), pp. 73-84. DOI:10.18642/jmsaa_7100122222.
|
 |
|
|
|
Nelson, SP, Wickman, B, Null, J and Gazin, E (2022). Benford’s Law and Music Note Frequencies. In: Montiel, M., Agustín-Aquino, O.A., Gómez, F., Kastine, J., Lluis-Puebla, E., Milam, B. (eds) Mathematics and Computation in Music. MCM 2022. Lecture Notes in Computer Science(), vol 13267. Springer, Cham. DOI:10.1007/978-3-031-07015-0_34.
|
 |
|
|
|
Neubert, T, Hildebrandt, M and Dittmann, J (2016). Image pre-processing detection: Evaluation of Benford's law, spatial and frequency domain feature performance. Proceedings of 2016 First International Workshop on Sensing, Processing and Learning for Intelligent Machines (SPLINE) July 6-8, pp. 1-5. DOI:10.1109/SPLIM.2016.7528405.
|
 |
|
|
|
Neves, GA, Nunes, CS and Fernandes, PO (2021). Application of Benford’s Law to the Tourism Demand: The Case of the Island of Sal, Cape Verde. In Proceedings of Optimization, Learning Algorithms and Applications. OL2A 2021. Communications in Computer and Information Science, vol 1488. Springer, Cham.. DOI:10.1007/978-3-030-91885-9_43.
|
 |
|
|
|
Newcomb, S (1881). Note on the frequency of use of the different digits in natural numbers. American Journal of Mathematics 4(1), pp. 39-40. ISSN/ISBN:0002-9327. DOI:10.2307/2369148.
|
 |
|
|
|
Ngueilbaye, A, Huang, JZ, Khan, M and Wang, H (2023). Data quality model for assessing public COVID‑19 big datasets. The Journal of Supercomputing. DOI:10.1007/s11227-023-05410-0.
|
 |
|
|
|
Nguyen, HT, Kreinovich, V and Longpré, L (2003). Dirty pages of logarithm tables, lifetime of the universe, and subjective (fuzzy) probabilities on finite and infinite intervals. The 12th IEEE International Conference on Fuzzy Systems. FUZZ’03. Fuzzy Systems 1, pp. 67-73. DOI:10.1109/FUZZ.2003.1209339.
|
 |
|
|
|
Nguyen, HT, Kreinovich, V and Longpré, L (2004). Dirty Pages of Logarithm Tables, Lifetime of the Universe, and (Subjective) Probabilities on Finite and Innite Intervals. Reliable Computing 10(2), 83-106. DOI:10.1023/B:REOM.0000015848.19449.12.
|
 |
|
|
|
Nguyen, LHT, Nguyen, TT, Le, TVN and Mai, ND (2023). Applying Benford’s Law to examine earnings management: Evidence from emerging ASEAN-5 countries. Journal of Financial Reporting and Accounting (in press). DOI:10.1108/JFRA-10-2022-0390.
|
 |
|
|
|
Nguyen, TQ (2019). What Influence Earnings Management By Share-Financed Acquirers Prior To Deal Announcements?. PhD Thesis for University of East London. DOI:10.15123/uel.86y35.
|
 |
|
|
|
Nguyen, TT (2019). Three essays on earnings quality. PhD Thesis, University of East London. DOI:10.15123/uel.86yq8.
|
 |
|
|
|
Nguyen, TT, Duong, C and Nguyen, N (2018). Benford’s Law, earnings management, and accounting conservatism: The UK evidence. Proceedings of European Financial Management Association (EFMA) Annual Meeting, Milan.
|
 |
|
|
|
Nguyen, TT, Duong, CM and Nguyen, NTM (2022). Is conditional conservatism a source of deviations of financial statements from Benford’s Law?. Journal of Applied Accounting Research 23(5), pp. 10241046
. DOI:10.1108/JAAR0220210037.
|
 |
|
|
|
Ni, D and Ren, Z (2008). Benford’s law and half-lives of unstable nuclei. Eur. Phys. J. A 38, 251–255. DOI:10.1140/epja/i2008-10680-8.
|
 |
|
|
|
Ni, D, Wei, L and Ren, Z (2009). Benford's Law and β-Decay Half-Lives. Commun. Theor. Phys. 51, 713-716. DOI:10.1088/0253-6102/51/4/25.
|
 |
|
|
|
Nickell, EB, Schwebke, J and Goldwater, P (2023). An introductory audit data analytics case study: Using Microsoft Power BI and Benford’s Law to detect accounting irregularities. Journal of Accounting Education 64, p. 100855
. DOI:10.1016/j.jaccedu.2023.100855.
|
 |
|
|
|
Niederreiter, H and Philipp, W (1973). Berry-Esseen bounds and a theorem of Erdős and Turàn on uniform distribution mod 1. Duke Mathematical Journal 40(3), 633-649. DOI:10.1215/S0012-7094-73-04055-6.
|
 |
|
|
|
Nigrini, MJ (1992). The Detection of Income Tax Evasion Through an Analysis of Digital Frequencies. PhD thesis, University of Cincinnati, OH, USA.
|
 |
|
|
|
Nigrini, MJ (1993). Can Benford's law be used in forensic accounting?. The Balance Sheet (June), pp. 7-8.
|
 |
|
|
|
Nigrini, MJ (1994). Using digital frequencies to detect fraud. Fraud Magazine, The White Paper Index 8(2), pp. 3-6.
|
 |
|
|
|
Nigrini, MJ (1996). A taxpayer compliance application of Benford’s law. Journal of the American Taxation Association 18(1), pp. 72-91.
|
 |
|
|
|
Nigrini, MJ (1996). Digital Analysis and the Reduction of Auditor Litigation Risk. Proceedings of the 1996 Deloitte & Touche / University of Kansas Symposium on Auditing Problems, ed. M. Ettredge, University of Kansas, Lawrence, KS, pp. 69-81.
|
 |
|
|
|
Nigrini, MJ (1998). Numerology for Accountants. Journal of Accountancy 186(5), November 1998, p. 15.
|
 |
|
|
|
Nigrini, MJ (1998). Digital Analysis: a Computer-Assisted Data Analysis Tecnology for Internal Auditors. IT Audit, Vol 1, The Institute of Internal Auditors.
|
 |
|
|
|
Nigrini, MJ (1999). I’ve got your number. Journal of Accountancy 187(5), pp. 79-83.
|
 |
|
|
|
Nigrini, MJ (1999). Adding value with digital analysis. The Internal Auditor 56(1), pp. 21-23.
|
 |
|
|
|
Nigrini, MJ (1999). Peculiar patterns of first digits. IEEE Potentials 18(2), pp. 24-27. DOI:10.1109/45.755849.
|
 |
|
|
|
Nigrini, MJ (1999). Digital Analysis - Part 2: A Review of the Audit Tests to Detect Anomalies in Data Subsets. IT Audit, vol. 2, The Institute of Internal Auditors.
|
 |
|
|
|
Nigrini, MJ (2000). Digital Analysis Using Benford's Law: Tests and Statistics for Auditors. Global Audit Publications: Vancouver, Canada. DOI:10.1201/1079/43266.28.9.20010301/30389.4.
|
 |
|
|
|
Nigrini, MJ (2000). Continuous Auditing. Online e-print; last accessed September 28, 2015.
|
 |
|
|
|
Nigrini, MJ (2001). Digital Analysis Using Benford's Law: Tests and Statistics for Auditors. EDPACS - The EDP Audit, Control, and Security Newsletter
28(9), pp. 1-2. DOI:10.1201/1079/43266.28.9.20010301/30389.4.
|
 |
|
|
|
Nigrini, MJ (2002). Using Microsoft Access for Data Analysis and Interrogation: The Use of Benford's Law, Number Patterns, Ratios, and Duplications to Detect Errors, Biases, Fraud, Irregularities, and Inefficiencies in Corporate Data. Mark J. Nigrini. ISSN/ISBN:0966250907.
|
 |
|
|
|
Nigrini, MJ (2005). An Assessment of the Change in the Incidence of Earnings Management Around the Enron-Andersen Episode. Review of Accounting and Finance 4, pp. 92-110. DOI:10.1108/eb043420.
|
 |
|
|
|
Nigrini, MJ (2011). Forensic Analytics: Methods and Techniques for Forensic Accounting Investigations. John Wiley & Sons: Hoboken, New Jersey; (2nd edition published in 2020, isbn 978-1-119-58576-3). ISSN/ISBN:978-0-470-89046-2.
|
 |
|
|
|
Nigrini, MJ (2012). Benford's Law: Applications for Forensic Accounting, Auditing, and Fraud Detection . John Wiley & Sons: Hoboken, New Jersey. ISSN/ISBN:978-1-118-15285-0. DOI:10.1002/9781119203094.
|
 |
|
|
|
Nigrini, MJ (2015). Persistent Patterns in Stock Returns, Stock Volumes, and Accounting Data in the U.S. Capital Markets. Journal of Accounting, Auditing & Finance, Vol. 30(4) pp. 541–557. DOI:10.1177/0148558X15584051.
|
 |
|
|
|
Nigrini, MJ (2015). Detecting Fraud and Errors Using Benford’s Law. In: S.J. Miller (ed.) Benford's Law: Theory and Applications, Princeton University Press: Princeton, NJ, pp. 191-211.
|
 |
|
|
|
Nigrini, MJ (2016). The Implications of the Similarity between Fraud Numbers and the Numbers in Financial Accounting Textbooks and Test Banks. Journal of Forensic Accounting Research, Vol. 1, No. 1, pp. A1-A26. DOI:10.2308/jfar-51465.
|
 |
|
|
|
Nigrini, MJ (2017). Audit Sampling Using Benford's Law: A Review of the Literature With Some New Perspectives. Journal of Emerging Technologies in Accounting Vol. 14, No. 2,
pp. 29–46. DOI:10.2308/jeta-51783.
|
 |
|
|
|
Nigrini, MJ (2017). Identifying fraud numbers using audit data analytics. Proceedings Fall 2017 Institute of Fraud Prevention, Alexandria, Virginia.
|
 |
|
|
|
Nigrini, MJ (2018). Round numbers: A fingerprint of fraud. Journal of Accountancy, May 1.
|
 |
|
|
|
Nigrini, MJ (2019). The patterns of the numbers used in occupational fraud schemes. Managerial Auditing Journal 34(5), pp. 606--626. DOI:10.1108/MAJ-11-2017-1717.
|
 |
|
|
|
Nigrini, MJ (2022). Using Benford’s Law to reveal journal entry irregularities. Journal of Accountancy (Sep 2022).
|
 |
|
|
|
Nigrini, MJ and Miller, SJ (2007). Benford’s Law Applied to Hydrology Data—Results and Relevance to Other Geophysical Data. Mathematical Geology 39(5), 469-490. ISSN/ISBN:0882-8121. DOI:10.1007/s11004-007-9109-5.
|
 |
|
|
|
Nigrini, MJ and Miller, SJ (2009). Data Diagnostics Using Second-Order Tests of Benford's Law. Auditing: A Journal of Practice & Theory 28(2), pp. 305-324. DOI:10.2308/aud.2009.28.2.305
.
|
 |
|
|
|
Nigrini, MJ and Mittermaier, LJ (1997). The use of Benford's Law as an aid in analytical procedures. Auditing - A Journal of Practice & Theory 16(2), 52-67. ISSN/ISBN:0278-0380.
|
 |
|
|
|
Nigrini, MJ and Wood, W (1995). Assessing the integrity of tabulated demographic data. Unpublished manuscript - Univ. Cincinnati and St. Mary’s University.
|
 |
|
|
|
Nillsen, R (2010). Randomness and Recurrence in Dynamical Systems: a real analysis approach. Carus Monograph #31, Mathematical Association of America. ISSN/ISBN:978-0-88385-043-5. DOI:10.5948/UPO9781614440000.
|
 |
|
|
|
Nilsson, J (1998). Ständigt dessa ettor .... Dagens Nyheter, November 8.
SWE
|
 |
|
|
|
Niskanen, J and Keloharju, M (2000). Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms. European Accounting Review 9(3), pp. 443-452. DOI:10.1080/09638180020017159.
|
 |
|
|
|
Noleto-Filho, EM, Carvalho, AR, Thomè-Souza, MJF and Angelini, R (2022). Reporting the accuracy of small–scale fishing data by simply applying Benford’s law. Frontiers in Marine Science 9, pp. 947503. DOI:10.3389/fmars.2022.947503.
|
 |
|
|
|
Noma, E and Baird, JC (1975). Psychophysical study of numbers: II. Theoretical models of number generation. Psychological Research 38 (1), pp. 81-95. DOI:10.1007/BF00308940.
|
 |
|
|
|
Nordtvedt, K (2001). Earth’s equivalence principle violating multipoles: more science from a robust violation signal in STEP . Classical and Quantum Gravity 18(13), pp. 2467-2473. ISSN/ISBN:0264-9381. DOI:10.1088/0264-9381/18/13/309.
|
 |
|
|
|
Novalija, S (2012). Analiza cijena lijekova primjenom Benfordovog zakona [Benford Law Analysis of Drug Prices]. 13. međunarodna znanstvena i stručna konferencija "Računovodstvo i menadžment - RIM", Svezak I – znanstveni radovi, Zagreb, Republika Hrvatska, str. pp. 34-46 [13th International Scientific and Professional Conference "Accounting and Manage.
BOS
|
 |
|
|
|
Novikov, VP (2010). Aspectual principle, Benford’s Law and Russell’s Paradox. Preprint arXiv:1012.5537 [math.CA]; last accessed April 3, 2019.
|
 |
|
|
|
Novosel, D and Alanović, M (2020). Analysis of Consistency of Prime-boost Covid-19 Baseline and Safety Data. Acta Scientific Medical Sciences 4(12), pp. 81-82. ISSN/ISBN:2582-0931.
|
 |
|
|
|
Novosel, D, Žunac, R and Alanović, M (2021). COVID-19 and Seasonal Flu Data Reliability Analysis of New Cases Reported in Croatia. Acta Scientific Medical Sciences 5(6), pp. 102-105. ISSN/ISBN:2582-0931.
|
 |
|
|
|
Nugroho, BA (2023). The Stability of Islamic Cryptocurrencies and Copula-Based Dependence with Alternative Crypto and Fiat Currencies. ISRA International Journal of Islamic Finance (IJIF) 15(2), pp. 80-97. DOI:10.55188/ijif.v15i2.543.
|
 |
|
|
|
Nunes, A, Inácio, H and Marques, RP (2019). A Lei de Benford e a deteção de fraude em auditoria nas empresas Portuguesas [Benford’s Law and fraud detection in Portuguese enterprises]. Proceedings of Iberian Conference on Information Systems and Technologies, CISTI . DOI:10.23919/CISTI.2019.8760922.
POR
|
 |
|
|
|
Nunes, A, Inácio, H and Marques, RPF (2020). Benford’s Law for Fraud Detection: A Case Study of Portuguese Companies. Chapter 9 in Challenges and Opportunities of Corporate Governance Transformation in the Digital Era, Maria Igorevna Nikishova (ed.), IGI Global. ISSN/ISBN:9781799820116. DOI:10.4018/978-1-7998-2011-6.ch009.
|
 |
|
|
|
Nurdhin, MF and Tjen, C (2018). Analyis Benford’s Law Model as an Alternative for Benchmark Behavioral Model Method to Identify Tax Payer’s Compliance Case Sudy: DGT Regional South Jakarta II. Proceedings of the Journal of Contemporary Accounting and Economics Symposium 2018 on Special Session for Indonesian Study (JCAE 2018) - Contemporary Accounting Studies in Indonesia, pp. 371-381. [Also listed as 2017 Masters Thesis]. ISSN/ISBN:978-989-758-339-1.
|
 |
|
|
|
Nwoye, UJ, Adeniyi, SI and Abiahu, MFC (2020). Achieving Transparent IFRS Financial Reporting In Nigeria And Ghana: The B & B Model Effect. Journal of Taxation and Economic Development 19(2), pp. 34-64 .
|
 |
|
|
|
Nye, J and Moul, C (2007). The Political Economy of Numbers: On the Application of Benford's Law to International Macroeconomic Statistics. The BE Journal of Macroeconomics 7(1), pp. 1-14. DOI:10.2202/1935-1690.1449.
|
 |
|
|
|