William H. Stein.

William H. Carmalt

Stein E

We present a certain geometrical interpretation of the natural numbers, where these numbers appear as joint products of 5and 3-multiples located at specified positions in a revolving chamber. Numbers without factors 2, 3 or 5 appear at eight such positions, and any prime number larger than 7 manifests at one of these eight positions after a specified amount of rotations of the chamber. Our appr...

Stein Points

An important task in computational statistics and machine learning is to approximate a posterior distribution p(x) with an empirical measure supported on a set of representative points {xi}i=1. This paper focuses on methods where the selection of points is essentially deterministic, with an emphasis on achieving accurate approximation when n is small. To this end, we present Stein Points. The i...

William H. Welch and the Rise of Modern Medicine

The Handbook of Neurotological Diagnosis, edited by John W. House and Alec Fitzgerald O'Connor, is the result of a cooperative effort between clinicians and scientists from the United States and Europe with the proposed goal ". . . to provide the reader with broad knowledge of the recent developments in the rapidly advancing field of neurotology." The field of neurotology encompasses the study ...

Discussion of Akritas ’ paper by William H . Jefferys

In other words, the obvious thing to do can be the wrong thing to do. Oftentimes we find people using particular statistical procedures as “black boxes,” without fully understanding them. It is important to understand what you are doing and why. Unthinking use of a particular procedure without understanding its properties is a recipe for disaster. I also wish to call attention to William Wheato...