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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} | + | <math>\hat n_{ML} = \text{max}_p ( f_{X}(x_i;a) ) = |x_i|</math> |
Revision as of 10:18, 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 ( f_{X}(x_i;a) ) = |x_i| $
