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I think you start by working the maximum likelihood estimation formula of a binomial RV. The number of photons captured is (1,000,000) and the probability of the camera catching a photon is p, n (the number of photons total) is what we are looking for.
 
I think you start by working the maximum likelihood estimation formula of a binomial RV. The number of photons captured is (1,000,000) and the probability of the camera catching a photon is p, n (the number of photons total) is what we are looking for.
  
<math>\hat n_{ML} = \text{max}_p ( f_{X}(x_i;a) ) = |x_i|</math>
+
<math>\hat n_{ML} = \text{max}_p ( \binom{n}{k} ) = |x_i|</math>

Revision as of 10:19, 10 November 2008

I think you start by working the maximum likelihood estimation formula of a binomial RV. The number of photons captured is (1,000,000) and the probability of the camera catching a photon is p, n (the number of photons total) is what we are looking for.

$ \hat n_{ML} = \text{max}_p ( \binom{n}{k} ) = |x_i| $

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang