A Hitchhikers Guide through the IceCube Detector - Department of ...
A Hitchhikers Guide through the IceCube Detector - Department of ...
A Hitchhikers Guide through the IceCube Detector - Department of ...
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Likelihood Ratio<br />
Using a likelihood Ratio Method as Separator<br />
Hypo<strong>the</strong>sis A<br />
Signal Hypo<strong>the</strong>sis A<br />
• Theoretical Hypo<strong>the</strong>sis A,B (e.g. SN Models)<br />
• Generate signals based on Hypo<strong>the</strong>sis A,B<br />
Hypo<strong>the</strong>sis B<br />
Signal Hypo<strong>the</strong>sis B<br />
• Calculate <strong>the</strong> Likelihood ratios<br />
(only use shape <strong>of</strong> <strong>the</strong> signal, no distance<br />
information)<br />
• Do this 10000 times<br />
<br />
<br />
A<br />
B<br />
<br />
<br />
L<br />
L<br />
L<br />
L<br />
A<br />
B<br />
B<br />
A<br />
<br />
<br />
1<br />
<br />
A 2 A 2<br />
(2ni<br />
Ai<br />
Ai<br />
) (2ni<br />
Bi<br />
Bi<br />
2<br />
²<br />
1<br />
<br />
B 2 B 2<br />
(2ni<br />
Ai<br />
Ai<br />
) (2ni<br />
Bi<br />
Bi<br />
2<br />
²<br />
) <br />
)<br />
<br />
Timo Griesel JIGSAW Workshop – Mumbai, India 22-26/02/2010 page 23/26