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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Cross-contamination rate estimation for digital PC
R in lab-on-a-chip microfluidic devices - Bence Mé
lykúti (Albert-Ludwigs-Universität Freiburg)
DTSTART;TZID=Europe/London:20160616T110000
DTEND;TZID=Europe/London:20160616T120000
UID:TALK66582AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/66582
DESCRIPTION:In the bond percolation model on a lattice\,
we colour vertices with n_c colours independently
at random according to Bernoulli distributions. A
vertex can receive multiple colours and each of t
hese colours is individually observable. The colou
rs colour the entire component into which they fal
l. Our goal is to estimate the n_c +1

paramete
rs of the model: the probabilities of colouring of
single vertices and the probability with which an
edge is open. The input data is the configuration
of colours once the complete components have been
coloured\, without the information which vertices
were originally coloured or which edges are open.

We use a Monte Carlo method\, the method
of simulated moments to achieve this goal. We pro
ve that this method is a strongly consistent estim
ator by proving a strong law of large numbers for
the vertices'\; weakly dependent colour values.
We evaluate the method in computer tests. The mot
ivating application is cross-contamination rate es
timation for digital PCR in lab-on-a-chip microflu
idic devices.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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