next up previous contents
Next: Detection Significance Up: PSS Algorithms Previous: PSS Algorithms

CASH

  Selecting the CASH option at the SOPT prompt selects the Cash maximum likelihood statistic (Ref 1) as the method of comparing data and model.

 

where is the image position, are the regularly spaced Poisson distributed data and the model.

Using the normal model (1), and ignoring the term in (3), which is independent of the parameters (and hence constant for a given dataset), we minimise,

 

the summation being performed over all pixels for which p is significantly greater than zero (see discussion below). At each the statistic is evaluated repeatedly to find the optimum flux , when,





Asterix
Tue Oct 7 12:03:17 BST 1997