Statisticians and bibliometrics's laws

Starting from the scientific production of Italian statisticians, we will try to study the laws of bibliometric distributions in statistics. Does the scientific productivity of statisticians follow Lotka‘s law? Is it true that a high level of productivity is achieved by few authors? Lotka's law, first presented in 1926, is really still the law of reference? It states that the number of authors making n contributions is about 1/n² of those making one; and the proportion of all contributors, that make a single contribution, is about 60 percent. A lot of authors in the past have studied the accordance with Lotka’s law in various fields and some variations and adaptations of it. For bibliometric variables, what are the dimensions that can modify it: the reference years, the average of products for author, ect? Is it possible by a simulation study to identify a bibliometric law for the production of scientific researchers? Does the scientific production of statisticians, which, based on our results, does not follow Lotka’s law, follow other laws of distribution? Are the citations, the number of core journals, the distribution of topics and words in a text coherent with the known distribution laws (Bradford’s law, Zips’s law, ect.)?