The Average AMS fellow who died before Aug. 2022 lived 83.36 years, published 98.53 papers, and was cited 2473.23 times

TL;DR

This paper analyzes the statistical characteristics of deceased AMS fellows, revealing average age, publication count, citation number, and correlations, using data analysis and elementary calculus.

Contribution

It introduces a novel statistical analysis of AMS fellows' data, including detailed correlations and rankings, based on publicly available information.

Findings

Average age at death: 83.36 years

Average publications: 98.53 papers

Average citations: 2473.23 citations

Abstract

Using data collected from the AMS websites, and the internet in general, we compute the weight-enumerator of the set of 145 AMS fellows who passed away before Aug. 2022, according to the statistics [Age, Number of Publications, Number of Citations]. Using Maple and elementary calculus, we deduced from it the numbers stated in the title, as well as much more detailed and fascinating statistical information. For example, while the correlation coefficient between the number of publications and number of citations is, not surprisingly, positive, it is far lower than one would expect, being a mere 0.5797 . The appendices contain the rankings according to longevity, number of publications, and number of citations.