Registro completo 
Provedor de dados: 
31

País: 
United States

Título: 
Stigler's approach to recovering the distribution of first significant digits in natural data sets

Autores: 
Lee, Joanne
Cho, Wendy K.
Judge, George G.

Data: 
20090122

Ano: 
2009

Palavraschave: 
Benford's law
Stigler's law
Power law
Maximum entropy
Distance measures
Research and Development/Tech Change/Emerging Technologies
Research Methods/ Statistical Methods
C10
C24

Resumo: 
In 1881, Newcomb conjectured that the first significant digits (FSDs) of numbers in statistical tables would follow a logarithmic distribution with the digit “1” occurring most often. However, because Newcomb’s proposal was not presented with a theoretical basis, it was not given much attention. Fiftyseven years later, Benford argued for the same principle and showed it was relevant to a large range of data sets, and the logarithmic FSD distribution became known as “Benford’s Law.” In the mid1940s, Stigler claimed Benford’s Law contained a theoretical inconsistency and supplied an alternative derivation for the distribution of FSDs. In this paper, we examine the theoretical basis of the Stigler distribution and extend his reasoning by incorporating FSD first moment information and informationtheoretic methods.

Tipo: 
Working or Discussion Paper

Idioma: 
Inglês

Identificador: 
http://purl.umn.edu/47000

Relação: 
University of California, Berkeley>Department of Agricultural and Resource Economics>CUDARE Working Papers
CUDARE Working Papers
1072

Formato: 
12
