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942 bytes added ,  17:44, 13 August 2007
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<math>
 
<math>
\sum_{p,s} e^-(\lambda_p) \lambda_p^p
+
f(q) = \sum_{p,s} \left(\frac{e^{-\lambda_{(p)}} \lambda_{(p)}^p}{p!}\right)\left(\frac{e^{-p \lambda_{(s)}}(p \lambda_{(s)})^s}{s!}\right) \left(\frac{\exp \left(-\frac{1}{2}\; \frac{\left[q-(p+s)\right]^2}{\sigma_0^2+(p+s)\sigma_1^2}\right) } {\sqrt{2\pi}\left[\sigma_0^2+(p+s)\sigma_1^2\right]^{\frac{1}{2}} }\right)
 
</math>
 
</math>
 +
 +
where,
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{| border="0" cellpadding="0"
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|-
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|<math>q \equiv \frac{x-x_0}{g}\quad</math> ||width="50px"| || a unit normalized to pixel counts (and zeroed accordingly)
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|-
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|<math>x\quad</math> || || is the real integral value (in Vs) and <math>x_0</math> is the pedestal offset (location of first peak).
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|-
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|<math>p, \lambda_{(p)}\quad</math> || || is the pixel count and Poisson average pixel count
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|-
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|<math>s, \lambda_{(s)}\quad</math> || ||are multi-Poisson factors that take into account Poisson distributions of secondary pixel counts per each real hit from the set of p hits.
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|-
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|<math>\sigma_0, \sigma_1\quad</math> || || are random noise parameters.
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|-
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|}
    
==== rest ====
 
==== rest ====
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