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Title:
PROBLEM PRVE ŠTEVKE
Authors:
ID
Gajšek, Tatjana
(Author)
ID
Benkovič, Dominik
(Mentor)
More about this mentor...
Files:
UNI_Gajsek_Tatjana_2011.pdf
(310,51 KB)
MD5: B4D6AAAD5D964DD81E4A190C82737EAC
PID:
20.500.12556/dkum/11067cba-33cf-489a-b7f1-f9ebb38ce28c
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
V diplomskem delu je predstavljen problem prve števke oziroma Benfordov zakon. V uvodu je predstavljena zgodovina tega problema. Sledita poglavji, v katerih so povzete osnovne verjetnosti in osnove Fourierove analize, ki sta potrebni za nadaljno razumevanje in razlago tega zakona. V nadaljevanju je opisana statistična razlaga in geometrijska podlaga zakona. Za tem sledi matematična formulacija samega zakona, dokazanega z uporabo Fourierove analize, predstavljene že v tretjem poglavju.
Keywords:
problem prve števke
,
naključna spremenljivka
,
enakomerna porazdelitev
,
konvolucija.
Place of publishing:
Maribor
Publisher:
[T. Gajšek]
Year of publishing:
2011
PID:
20.500.12556/DKUM-19206
UDC:
51(043.2)
COBISS.SI-ID:
18507272
NUK URN:
URN:SI:UM:DK:FTCFWMRF
Publication date in DKUM:
07.07.2011
Views:
2332
Downloads:
186
Metadata:
Categories:
FNM
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:
GAJŠEK, Tatjana, 2011,
PROBLEM PRVE ŠTEVKE
[online]. Bachelor’s thesis. Maribor : T. Gajšek. [Accessed 8 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=19206
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Secondary language
Language:
English
Title:
THE FIRST DIGIT PROBLEM
Abstract:
The graduation thesis presents the first digit problem or Benford's law. At the beginning is represented history of this problem. After introduction chapter followed two chapters about basic facts from probability and Fourier analysis. This facts are important to understand the thesis and further explanation of the law. Next is described statistical derivation and geometric basis of the law. Finally is given a mathematical formulation of the law and it is explained with basic facts from Fourier analysis.
Keywords:
the first digit problem
,
random variable
,
uniform distribution
,
convolution.
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