User:Gs5730/Symmetric probability distribution/Shg7D1 Peer Review

General info

 * Whose work are you reviewing?

Gs5740


 * Link to draft you're reviewing
 * Link to the current version of the article (if it exists)
 * Symmetric probability distribution
 * Symmetric probability distribution

Evaluate the drafted changes
The only main shortcomings that I found with this article are clarity issues. The article itself is quite short, but I can't think of anything else to add to it; perhaps it would be better to merge it with another article (e.g. probability distributions), but short articles aren't necessarily a bad thing because they make it easier to find information about specific topics.

Here are a few thoughts on how the article can be improved that you may find useful:


 * The lead and Formal definition sections need citations
 * Multivariate subsection:
 * It is probably helpful to define d-variate (assume that whoever is reading this does not know anything about statistics)
 * The Multivariate distributions section uses the phrase “existence of a density”, but it is unclear to me what this means (existence of a PDF? If its existence is now required, how do we allow for continuous distributions?)
 * It is also unclear to me what exactly a distribution's degree of symmetry is/represents
 * Also unclear what a chiral index is and how to calculate it (link to another wikipedia article?)
 * It is not very clear what inertia means in this context. A bit more explanation, or a link, might be helpful (again, it's probably a good idea to assume that whoever is reading this does not know anything about statistics so that the article will be as accessible as possible)
 * Is Mir M. Ali the first statistician to propose the chiral index? If so, this should be clarified; if he’s just the author of a textbook/article and the definition given is the same as the one presented in the article/textbook, then his name should be removed and the definition may need to be reframed (unless it is used in other textbooks and is a standard definition).
 * It is very unclear what it is that Mir M. Ali defined. The last paragraph under this section looks very out of place, and needs more clarification and elaborate as to what it seeks to explain and why it is useful/matters in the context of symmetrical probability distributions. A more intuitive explanation is needed.