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Consistent notation of the quantile function

I noticed that different notations are used to denote the quantile function of probability distributions. The most common ones are $Q(p)$ (e.g. Tukey lambda distribution), $Q(u)$ (e.g. Dagum distribution), $F^{-1}(\cdot )$ (e.g. Kumaraswamy distribution), and $x(F)$ Laplace distribution. In other cases, the quantile function is redubbed as "random variate generation", and described as a transformation of a standard uniform random variable (rv), i.e. $U\mapsto X$ (e.g. Burr Type XII distribution).

Although I realize that this is similarly the case in the literature, I believe that arbitrarily inconsistent notation like this, can be very confusing to readers, especially newcomers. But unlike the published literature, here, the notation can be made consistent.

I don't have a strong preference myself, but I (usually) prefer $x(F)$ over $F^{-1}(\cdot )$ nowadays, since both $Q(\cdot )$ and $F^{-1}(\cdot )$ have no standard for the name of the parameter (I've seen $p$, $q$, $u$ and $y$ used in different places). I can also see that standard uniform transformation notation, e.g. $X=-\log(1-U)$ for the standard exponential distribution, could be a good choice, but only if it is described as being the "quantile function", and not only "random variate generation". jorenham (talk) 14:26, 14 December 2023 (UTC)

If we were going to try to standardise, I would prefer Q(u), particularly because it leads naturally to q(u) for the density quantile function. But note also that adopting a standard on Wikipedia would make it inconsistent with the way the quantile function is usually presented in the literature for some distributions. Newystats (talk) 02:34, 15 December 2023 (UTC)

Coupling the QF notation with that of the QDF makes sense to me.

I guess that notational inconsistency with the literature is inevitable. I even stumbled accross a $G(p)$ today (C.L. Mallows, '73).

Perhaps it's a good idea to explicitly list the common QF notations on the quantile function page? jorenham (talk) 02:54, 15 December 2023 (UTC)

Should R not be listed as of top importance?

I see some statistics software (e.g. Minitab) has an importance of mid-importance, but there's nothing for R, which I don't think reflects the importance R does have. Drkirkby (talk) 15:43, 3 February 2024 (UTC)

Notability of John H. Wolfe

The article John H. Wolfe has gone through a PROD, but still has issues as it is based on one secondary textbook claim that his work on model-based clustering matters. It was created directly by a novice editor (Stat3472 33 edits). The article model-based clustering supports him as the inventor, but whether this is big enough for notability is unclear. Comments on the talk page please, perhaps better than AfD. Ldm1954 (talk) 09:56, 2 March 2024 (UTC)

Multilevel regression with poststratification

Can we please have some actual mathematical detail in the Multilevel regression with poststratification article as to the various models used, the techniques used to estimate their parameters, and analysis of the power of the method in increasing accuracy? At the moment, the article's all talk and no math. — The Anome (talk) 11:53, 18 June 2024 (UTC)