IMPERIAL COLLEGE STATISTICS SEMINARS
There is a seminar this week at 2pm on Friday 19th December in Room 140 of
the Huxley building on the South Kensington campus. All are welcome.
Bayesian inference for random tessellation models</h2>
Paul Blackwell (Sheffield University)
Random tessellations constitute an important class of models in many areas
of application, including ecology, geography and, on a much smaller
physical scale, the structure of materials. Given such a tessellation, an
inhomogeneous Poisson process can be defined, in which the intensity at a
point depends only on its location relative to the tessellation.
I will describe an approach that enables fully Bayesian inference for both
the realisation of the tessellation process and the parameters of the
derived point process to be made from an observed realisation of the point
process, using a random walk Markov Chain Monte Carlo algorithm.
I will illustrate the method with an application in ecology, in which the
tiles of the tessellation represent a set of territories of badger (Meles
meles) clans, and the point process models the occurrence of latrines,
which mark boundaries.
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