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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

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