The probability of finding n photons in the mode being in a coherent state Ja) is given by the Poisson distribution (n)" Pn = e-(m). n! Use the Sterling's formula for the factorial to show that this distribution can be approximated by (n- (n))2 exp 1 2(n) 1 P, /27 (n) In what limit is this a good approximation?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.