Undergraduate thesis, Williams College, Williamstown, Massachusetts.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: Nature and our world have a bias! Roughly 30% of the time, the number 1 will occur as the leading digit in a data set which is expressed in base 10. This phenomenon is known as Benford’s law and it can be seen everywhere around us: in the stock market, in optimizing computers, street addresses of Williams students and faculty, Fibonacci numbers, but it is also of great interest to the IRS because it enables fraud detection. Based on previous work, we know that different forms of a one-dimensional stick fragmentation result in pieces whose lengths follow Benford’s Law. We generalize this result and show that this can be extended to any finite-dimensional “volume”. We further conjecture that even lower-dimensional volumes, under the unrestricted fragmentation process, will follow Benford’s Law.
Bibtex:
@mastersThesis{,
AUTHOR = {Irfan Durmić},
TITLE = {Benford Behavior of a Higher Dimensional Fragmentation Processes},
SCHOOL = {Williams College},
YEAR = {2022},
ADDRESS ={Williamstown, Massachusetts},
TYPE = {Undergraduate Honors Thesis},
URL = {https://librarysearch.williams.edu/permalink/01WIL_INST/1faevhg/alma991013795585602786},
}
Reference Type: Thesis
Subject Area(s): Applied Mathematics, General Interest