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Some New Tests of Conformity with Benford’s Law
- Source :
- Stats, Volume 4, Issue 3, Pages 44-761, Stats, Vol 4, Iss 44, Pp 745-761 (2021)
- Publication Year :
- 2021
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2021.
-
Abstract
- This paper presents new perspectives and methodological instruments for verifying the validity of Benford’s law for a large given dataset. To this aim, we first propose new general tests for checking the statistical conformity of a given dataset with a generic target distribution<br />we also provide the explicit representation of the asymptotic distributions of the relevant test statistics. Then, we discuss the applicability of such novel devices to the case of Benford’s law. We implement extensive Monte Carlo simulations to investigate the size and the power of the introduced tests. Finally, we discuss the challenging theme of interpreting, in a statistically reliable way, the conformity between two distributions in the presence of a large number of observations.
- Subjects :
- goodness-of-fit tests
Computer science
media_common.quotation_subject
Statistics
Monte Carlo method
computer.software_genre
Conformity
conformity tests
HA1-4737
Target distribution
Benford's law
Goodness of fit
Benford’s law
Monte Carlo simulation
size–power graphs
Data mining
Representation (mathematics)
computer
Statistical hypothesis testing
media_common
Subjects
Details
- Language :
- English
- ISSN :
- 2571905X
- Database :
- OpenAIRE
- Journal :
- Stats
- Accession number :
- edsair.doi.dedup.....b94cb6f3252658b1c2c8ec2b524d5516
- Full Text :
- https://doi.org/10.3390/stats4030044