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DTSTART:20070311T020000
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DTSTAMP:20221105T130207
DTSTART;TZID=America/Detroit:20221111T100000
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SUMMARY:Workshop / Seminar:Statistics Department Seminar Series: Asger Hobolth\, Professor\, Department of Mathematics\, Aarhus University
DESCRIPTION:Abstract\nThe analysis of genomic data makes it possible to characterize the demographic processes that shaped the genetic diversity of populations. State-of-the-art in data analyses of genomic data is increasingly simulation-based\, but disadvantages of simulation-based procedures include that they are highly computer intensive\, often depend on the choice of summary statistics\, and a rather indirect procedure for understanding key properties of both the data and the model. As an alternative to simulations\, I will outline an emerging mathematical framework for genetic diversity based on matrix-exponential distributions. The main idea is that the ancestral process of a genetic sample can be described using a generalization of the exponential distribution called a phase-type distribution. Phase-type distributions have been used with great success in the actuarial sciences and in queuing theory\, but the distribution is also well suited for the ancestral process. I will describe recent results of using phase-type distributions in population genetics\, and discuss the latest progress and future plans for the framework. \n\n\nAsger Hobolth is a Professor in the Department of Mathematics at Aarhus University.\n\nhttps://pure.au.dk/portal/en/persons/asger-hobolth(8d387f4e-86e9-4405-a50d-1e5a6efd97d8).html
UID:98147-21795645@events.umich.edu
URL:https://events.umich.edu/event/98147
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:seminar
LOCATION:Off Campus Location
CONTACT:
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