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The Axiomatic Approach
Continuous Random Variables
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amplitude answer aperture approach assumed average binomial central limit theorem characteristic function chi-square coefficients computed consider constant correlation cost function curve defined degrees of freedom denote depends derivation emulsion equal equation error estimate event example factor finite flip fluctuation Fourier transform frequency Gaussian given Hence hypothesis identity image plane independent integral intensity interval known large numbers laser law of large likelihood law linear maximum entropy median noise normal Note obeys object observed occur optical optical transfer function outcome output p(co parameter partition law photon physical point spread function Poisson position power spectrum principle prior probability density probability law problem px(x quantity random variable randomly result RV's sample mean Sect shot noise signal significance simply solution speckle speckle image statistically independent statistics stochastic process Suppose T(co theorem theory tion transfer function turbulence unknown