Obituary: Joseph Leonard Doob

OBITUARY : Joseph Leonard

Joseph Leonard Doob was born in Cincinnati, Ohio, USA on 27 February 1910. In an interview Joe gave for Statistical Science (see Snell (1997)), he said that in grammar school he built a crystal set and in high school operated a radio transmitter. This led him to think he would major in mathematical physics when he entered Harvard in 1926. However, after taking two physics courses, Doob decided ...

Obituary

Obituary Notice

Mrs. Meiklejohn, of St. Paul's, Upper Maze M, Ston January 29th. Her life was spent for the weitare ? many parents could testify to the devotion w i ^ defective children, and She was the first to realise the special _n country. For many years she she opened the first home for such children in defective children, and of was the Principal of this home, and of a home 10 wQmen> another home for dif...

Doob , Ignatov and Optional Skipping

A general set of distribution-free conditions is described under which an i.i.d. sequence of random variables is preserved under optional skipping. 1. Introduction and motivation. This paper discusses a general set of conditions under which an i.i.d. sequence of random variables ξ 1 , ξ 2 ,. .. , taking values in a measurable space (X, B), with common distribution F , is preserved under " optio...

MDS codes in Doob graphs

Аннотация The Doob graph D(m, n), where m > 0, is the direct product of m copies of The Shrikhande graph and n copies of the complete graph K 4 on 4 vertices. The Doob graph D(m, n) is a distance-regular graph with the same parameters as the Hamming graph H(2m + n, 4). In this paper we consider MDS codes in Doob graphs with code distance d ≥ 3. We prove that if 2m + n > 6 and 2 < d < 2m + n, th...