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Cerqueti, R and Maggi, M (2021)

Data validity and statistical conformity with Benfordís Law

Chaos, Solitons & Fractals 144, p. 110740 .

ISSN/ISBN: Not available at this time. DOI: 10.1016/j.chaos.2021.110740



Abstract: Benfordís Law is a statistical regularity of a large number of datasets; assessing the compliance of a large dataset with the Benfordís Law is a theme of remarkable relevance, mainly for its practical consequences. Such a task can be faced by introducing a statistical distance concept between the empirical distribution of the data and the random variable associated with Benfordís Law. This paper deals with the problem of measuring the compliance of a random variable Ė which can be seen as describing the empirical distribution of a collection of data Ė with the Benfordís Law. It proposes a statistical methodology for detecting the critical values related to conformity/nonconformity with Benfordís Law in some well-established cases of statistical distance. The followed approach is grounded on the proper selection of a family of parametric random variables Ė the lognormal distribution, in our case Ė and of a reference statistical distance concept Ė mean absolute deviation. A discussion of the obtained results is carried out on the ground of the existing literature. Moreover, some open problems are also presented.


Bibtex:
@article{, title = {Data validity and statistical conformity with Benfordís Law}, journal = {Chaos, Solitons \& Fractals}, volume = {144}, pages = {110740}, year = {2021}, issn = {0960-0779}, doi = {10.1016/j.chaos.2021.110740}, url = {https://www.sciencedirect.com/science/article/pii/S096007792100093X}, author = {Roy Cerqueti and Mario Maggi}, }


Reference Type: Journal Article

Subject Area(s): Probability Theory, Statistics