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Santiwipanont, T, Sumetkijakan, S and Wiriyakraikul, T (2019)

Benfordness of Chains of Truncated Beta Distributions via a Piecewise Constant Approximation

In: Kreinovich V., Sriboonchitta S. (eds) Structural Changes and their Econometric Modeling. TES 2019. Studies in Computational Intelligence, vol 808. Springer, Cham, pp. 342-351.

ISSN/ISBN: Not available at this time. DOI: 10.1007/978-3-030-04263-9_26



Abstract: A chain of truncated distributions is constructed from iteratively truncating an initial distribution on the right. We show that if the initial distribution is a piecewise constant approximation of the Beta distribution with parameters 𝛼 and 1 then the mantissas of the chain of truncated distributions converge to a mantissa-limit distribution distinct from the Benfordís law. For general approximating initial distributions, under some suitable conditions on these mantissas, we can conclude that the mantissa-limit distributions converge to the mantissa-limit distribution for the limiting initial distribution. As a result, we obtain an alternative proof of the fact that chains of truncated Beta distributions satisfy Benfordís law in the limit.


Bibtex:
@InProceedings{, author="Santiwipanont, Tippawan and Sumetkijakan, Songkiat and Wiriyakraikul, Teerapot", editor="Kreinovich, Vladik and Sriboonchitta, Songsak", title="Benfordness of Chains of Truncated Beta Distributions via a Piecewise Constant Approximation", booktitle="Structural Changes and their Econometric Modeling", year="2019", publisher="Springer International Publishing", address="Cham", pages="342--351", isbn="978-3-030-04263-9" }


Reference Type: Conference Paper

Subject Area(s): Statistics