Skip to content


Friday, 15 March, 2013

SPEAKER: Prof. Vasilis Papanicolaou - Washington Univ., St. Louis and

National Technical University of Athens, Greece

TITLE:  Asymptotics and Limit Distributions for the General Collectors Problem

ABSTRACT:  Let $T_N$ be the number of coupons that a collector has to buy in order to

find all $N$ existing different coupons. The probabilities (occurring frequencies) of the coupons

can be quite arbitrary. Using the asymptotics of the expectation and variance of $T_N$ as $N to

infty$ and the general limit theorems of P. Neal, we derive the limit distribution of $T_N$ (appropriately normalized), which, for a large class of probabilities, turns out to be the standard Gumbel distribution. Our results extend a well-known result of P. Erdos and A. Renyi.


Joint work with Aris tides V. Doumas.


Refreshments will be available at 3:10 p.m.




Ayres Hall
Room 405
, TN

Event Contact

Phone: 974-2463

The flagship campus of the University of Tennessee System and partner in the Tennessee Transfer Pathway.