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Numbers in the Internet Web and Benford`s Law
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 Title & Authors
Numbers in the Internet Web and Benford`s Law
Jang, Dae-Heung;
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Using the information about the frequency of occurrence of numbers in WWW, we can find properties of the array of numbers and validate whether this array satisfies the several laws(Power law, Zipf`s law, Benford`s law).
WWW;World-Wide Web;power law;Zipf`s law;Benford`s law;
 Cited by
Albert, R., Jeong, H. and Barabasi, A. L. (1999). Diameter of the World-Wide Web, Nature, 401, 130-131 crossref(new window)

Barabasi, A. L. and Albert, R. (1999). Emergence of scaling in random networks, Science, 286, 509-512 crossref(new window)

Berger, A. and Siegmund, S. (2007). On the distribution of mantissae in nonautonomous difference equations, Journal of Difference Equations and Applications, 13, 829-845 crossref(new window)

Bradley, J. R. and Farnsworth, D. L. (2009). What is Benford's law?, Teaching Statistics, 31, 2-6 crossref(new window)

Church, K. W. and Hanks, P. (1990). Word association norms, mutual information, and lexicography, Computational Linguistics, 16, 22-29

Costas, E., Lopez-Rodas, V., Toro, F. J. and Flores-Moya, A. (2008). The numbers of cells in colonies of the cyanobacterium Microcystis aeruginosa satisfies Benford's law, Aquatic Botany, 89, 341-343 crossref(new window)

Diekmann, A. (2007). Not the first digit! Using Benford's law to detect fraudulant scientific data, Journal of Applied Statistics, 34, 321-329 crossref(new window)

Dorogovtsev, S. N., Mendes, J. F. F. and Oliveira, J. G. (2006). Frequency of occurrence of numbers in the World Wide Web, Physica A, 360, 548-556 crossref(new window)

Drake, P. D. and Nigrini, M. J. (2000). Computer assisted analytical procedures using Benford's law, Journal of Accounting Education, 18, 127-146 crossref(new window)

Durtschi, C., Hillison, W. and Pacini, C. (2004). The effective use of Benford's law to assist in detecting fraud in accounting data, Journal of Forensic Accounting, 5, 17-34

Engel, H. A. and Leuenberger, C. (2003). Benford's law for exponential random variables, Statistics & Probability Letters, 63, 361-365 crossref(new window)

Geyer, C. L. and Williamson, P. P. (2004). Detecting fraud in data sets using Benford's law, Communications in Statistics-Simulation and Computation, 33, 229-246 crossref(new window)

Giles, D. E. (2007). Benford's law and naturally occurring prices in certain ebaY auctions, Applied Economics Letters, 14, 157-161 crossref(new window)

Gob, R. (2007). Data conformance testing by digital analysis-A critical review and an approach to more appropriate testing, Quality Engineering, 19, 281-297 crossref(new window)

Hales, D. N., Sridharan, V., Radhakrishnan, A., Chakravorty, S. S. and Siha, S. M. (2008). Testing the accuracy of employee-reported data: An inexpensive alternative approach to traditional methods, European Journal of Operational Research, 189, 583-593 crossref(new window)

Hill, T. P. (1996). A statistical derivation of the significant-digit law, Statistical Science, 10, 354-363

Hill, T. P. and Schurger, K. (2005). Regularity of digits and significant digits of random variables, Stochastic Processes and their Applications, 115, 1723-1743 crossref(new window)

Huberman, B. A. and Adamic, L. A. (1999). Growth dynamics of the World-Wide Web, Nature, 401, 131

Huberman, B. A., Pirolli, P. L., Pitkow, J. E. and Lukose, R. M. (1998). Strong regularities in World-Wide Web surfing, Science, 280, 95-97 crossref(new window)

Irmay, S. (1997). The relationship between Zipf's law and the distribution of first digits, Journal of Applied Statistics, 24, 383-393 crossref(new window)

Jolion, J. M. (2001). Images and Benford's law, Journal of Mathematical Imaging and Vision, 14, 73-81 crossref(new window)

Lagarias, J. and Soundararajan, K. (2006). Benford's law for the 3x+1 function, Journal of the London Mathematical Society, 74, 289-303 crossref(new window)

Leemis, L. M., Schmeiser, B. W. and Evans, D. L. (2000). Survival distributions satisfying Benford's law, The American Statistician, 54, 1-6 crossref(new window)

Lipovetsky, S. (2008). Comparison among different patterns of priority vectors estimation methods, International Journal of Mathematical Education in Science and Technology, 39, 301-311 crossref(new window)

Schatte, P. (1998). On Benford's law to variable base, Statistics & Probability Letters, 37, 391-397 crossref(new window)

Schiirger, K. (2008). Extensions of Black-Scholes processes and Benford's law, Stochastic Processes and their Applications, 118, 1219-1243 crossref(new window)

Sehity, T., Hoelzl, E. and Kirchler, E. (2005). Price developments after a nominal shock: Benford's law and psychological pricing after the euro introduction, International Journal of Research in Marketing, 22, 471-480 crossref(new window)