Das Benford

Das Benford-Gesetz
Vorträge im Proseminar/Wintersemester 2011/12
Vortrag-Nr.
0
Matrikel-Nr.
Thema
Newcomb/Benford: Historisches
Literatur
[1, 5, 9]
(J.B.)
1
4492342
(M.D.)
Gleichverteilung modulo 1
[7], Seiten 1-4, 7-8
2
4428992
(C.M.)
Gleichverteilung modulo 1
[7], Seiten 8-9, 13-15
3
4524061
(P.G.)
Gleichverteilung modulo 1
[7], Seiten 25-29
4
4221461
(S.L.)
Benfordverteilung und Gleichverteilung modulo 1
[3]
5
3663664
(E.T.)
Fibonacci-Zahlen sind Benfordverteilt/I
[4, 6]
6
4727509
(C.Q.)
Fibonacci-Zahlen sind Benfordverteilt/II
[2, 8]
Verbrecherjagd mit der Benfordverteilung
[5]
7
(J.B.)
Zusammenarbeit bietet sich an bei den Vorträgen 1,2,3,4 und 5,6
Literatur
[1] F. Benford. The law of anomalous numbers. Proceedings of the American Philosophical Society,
78:551–572, 1938.
[2] F.L. Brown and R.L. Duncan. Modulo one uniform distribution of the sequences of logarithms of
certain recursive sequences. Fibonacci Quarterly, 8:482–486, 1970.
[3] P. Diaconis. The distribution of leading digits and uniform distribution mod 1. The Annals of
Probability, pages 72–81, 1977.
[4] R.L. Duncan. An application of uniform distributions to the Fibonacci numbers. Fibonacci Quarterly, 5:137–140, 1967.
[5] N. Hungerbühler. Benfords Gesetz über führende Ziffern, 2007.
[6] L. Kuipers. Remark on a paper by R.L. Duncan concerning the uniform distribution mod 1 of the
sequence of the logarithms of the Fibonacci numbers. Fibonacci Quarterly, 7:465–466, 1969.
[7] L. Kuipers and H. Niederreiter. Uniform distribution of sequences. Wiley, New York, 1974.
[8] L. Kuipers and J.S. Shiue. Remark on a paper by Duncan and Brown on the sequence of logarithms
of certain recursive sequences. Fibonacci Quarterly, 11:292–294, 1973.
[9] S. Newcomb. Note on the frequency of use of the different digits in natural numbers. American
Journal of Mathematics, 4:39–40, 1981.