Entropy 2013, 15(11), 4634-4647; doi:10.3390/e15114634
Article

Law of Multiplicative Error and Its Generalization to the Correlated Observations Represented by the q-Product

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Received: 8 September 2013; in revised form: 6 October 2013 / Accepted: 21 October 2013 / Published: 28 October 2013
(This article belongs to the collection Advances in Applied Statistical Mechanics)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: The law of multiplicative error is presented for independent observations and correlated observations represented by the q-product, respectively. We obtain the standard log-normal distribution in the former case and the log-q-normal distribution in the latter case. Queirós’ q-log normal distribution is also reconsidered in the framework of the law of error. These results are presented with mathematical conditions to give rise to these distributions.
Keywords: multiplicative error; law of error; likelihood function; log-normal distribution; q-product
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MDPI and ACS Style

Suyari, H. Law of Multiplicative Error and Its Generalization to the Correlated Observations Represented by the q-Product. Entropy 2013, 15, 4634-4647.

AMA Style

Suyari H. Law of Multiplicative Error and Its Generalization to the Correlated Observations Represented by the q-Product. Entropy. 2013; 15(11):4634-4647.

Chicago/Turabian Style

Suyari, Hiroki. 2013. "Law of Multiplicative Error and Its Generalization to the Correlated Observations Represented by the q-Product." Entropy 15, no. 11: 4634-4647.


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