Chennai Mathematical Institute

Seminars




10:30 am - 11:30 am, Lecture Hall 6
Weighing Designs to Detect a Single Counterfeit Coin

Jyotirmoy Sarkar
Indiana University Purdue University Indianapolis, USA.
18-12-15


Abstract

There are a number coins which are otherwise identical except that at most one coin is either slightly heavier or slightly lighter. Using only a two-pan balance we devise a weighing scheme to identify the counterfeit coin, if any, and determine its type in as few weighing as needed. We construct both sequential and non-sequential weighing plans for any number of coins containing at most one counterfeit coin.

About Prof. Jyotirmoy Sarkar:

Jyoti Sarkar is a Professor and Statistics Consultant in the Department of Mathematical Sciences at Indiana University-Purdue University Indianapolis. He is the inventor of the SARKARCUBES, which earned him a U.S. Patent.

Jyoti was trained at the Indian Statistical Institute, where he received a B. Stat. (Honors, 1985) and an M. Stat. (1987). After earning his PhD (Statistics, 1990) from the University of Michigan, he continued as a Visiting Assistant Professor in the UM Department of Statistics. Next year, he joined IUPUI when a Master of Science with Specialization in Applied Statistics program was initiated. He has contributed to the establishment of a joint PhD in Biostatistics and a specialization in Mathematical Statistics towards a PhD in Mathematics. He served as Interim Chair of the Department during 2012-2014.

Jyoti's main research area currently is availability theory (within reliability theory). Additionally, he works on a variety of problems in applied probability, combinatorics, mathematical statistics, stochastic processes and economics.

Jyoti is twice the recipient of Trustees Teaching Award in 2000 and 2008. He is also a very active statistics consultant serving clients in academic, industrial and governmental sectors.

Lately, he makes annual visits to India-both to take family vacation and to work with collaborators at the Indian Statistical Institute Kolkata and more recently at the University of Calcutta. Therefore, he calls home both India and Indiana.





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