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I have been given this question and I need to simplify it using laplacian approximation but am unsure of how to answer it any help is greatly appreciated:

Kullback Liebler Divergence

D (q||p) = ∑iqi logqi/pi.

To measure the divergence of the probability distribution q (the 1 minute window) from a reference distribution p.

where qi = ri/n and Pi=ri/n

Where theithvalue is observedritimes out ofnduring the 1 minute window.