A comparison of two methods for random labellings of balls by vectors of integers
By Doron Zeilberger
.pdf   .ps   .tex
(Appeared in Advances in Combinatorial Methods and Applications to Probability and Statistics, N. Balakrishnan, ed., Birkhauser, 1997, [Mohanty Festschrift].)

Sometimes it is worth it, being married to a scientist. In 1982, I wrote a paper with Jane's postdoc advisor, about T.L. Hill's method for solving linear equations, using trees. One Sunday, in Nov. 94, Jane, our youngest daughter Hadas, and I went, as we sometimes do, to Jeff's Bagels coffee bar, near Princeton, and who do we bump to, Greg Kirk, who was a friend and colleague of Jane from her second postdoc, at Princeton, back in 1983. Meanwhile he became a department head in a bio-technology company. After five minutes of gossiping, he told me about this fascinating problem, that came up in the field. He was hoping that the second method was much better. I had to tell him that it was only a little better, as the present paper shows. Jane and Barbara (Greg's wife) liked the paper, since Greg, as a token payment for my `consulting' took us out to a fancy restaurant, that a poor professor like myself cannot usually afford.

This paper is dedicated to Sri Gopal Mohanty, one of the greatest minds in the border-line between combinatorics and statistics.

Doron Zeilberger's List of Papers

Doron Zeilberger's Home Page