Question

Problem 4.5 Flying Bombs, part II – EM for mixtures of Poissons

(b) Implement your algorithm and run it for different values of $K \in \{1, 2, 3, 4, 5\}$ on the following data obtained from 2 cities (learn a separate mixture model for each city):

city	number of hits ($k$)	0	1	2	3	4	5 and over
London	number of cells with $k$ hits	229	211	93	35	7	1
Antwerp	number of cells with $k$ hits	325	115	67	30	18	21

What conclusions can you make about the attacks on each city? Is there any evidence to suggest there is specific targeting of areas in London or Antwerp?