Open Access Open Access  Restricted Access Subscription or Fee Access

Entropy in Nucleus to Tab Data Information and its Illustration with Wolfram Syndrome Cases

Ramalingam Shanmugam


A new concept is introduced in this article to tab only pertinent information in the collected data. It is names “entropy in nucleus”. This new concept is versatile, effective, and easier enough to extract data information about an unknown main (that is, incidence) parameter compared to the Shannon’s information. The Shannon information is not always user friendly due to its mathematical and computational difficulties in its practice. The entropy in nucleus has an additive property, which the Shannon’s information does not possess. A secondary (a better name might be accumulation) parameter in a chosen underlying model for the data analysis ought to accumulate the entropies in the observations and it is accomplished in the new approach of entropy in nucleus unlike in the Shannon’s information. Mathematical expressions are developed to obtain the p-value and statistical power for an observed entropy in the nucleus for binomial, Poisson, inverse binomial, exponential, and normal model for a given data. The definitions and derived mathematical expressions for the entropy in nucleus are illustrated using a medical data on the phenotypic symptoms of Wolfram syndrome given in Marshall et al (2013).


Artificial intelligence, Kullback-Leibler and Shannon informations, proximity, probability distributions, WFS1 gene, p-value, statistical power.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.