Download A Universal Sampling Formula in Population Genetics

The University of Chicago
Department of Statistics
Seminar Series
YUN S. SONG
Departments of Electrical Engineering
and Computer Sciences, and Statistics
University of California, Berkeley
A Universal Sampling Formula in Population Genetics
MONDAY, November 30, 2009, at 4:00 PM
133 Eckhart Hall, 5734 S. University Avenue
Refreshments following the seminar in Eckhart 110.
ABSTRACT
The probability of observing a sample of DNA sequences plays a fundamental role in
various applications in population genetics, but unfortunately closed-form formulas are generally very difficult to obtain. In particular, when recombination is involved, obtaining an
analytic formula for the sampling distribution has so far remained an intractable open problem, and recent research has focused on developing Monte Carlo methods, such as MCMC or
importance sampling. In this talk, I will describe a technique based on asymptotic analysis
for obtaining a closed-form sampling formula, and discuss its accuracy and universality.
Joint work with Paul Jenkins (UC Berkeley).
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