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Exchangeable Random Partitions
In this post we will look at random partitions. A partition of is a set of disjoint subsets of such that . We arrange these sets in the order of their least element, so that , and if there are only...
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Counting and Adding (3)
Let’s jump straight in. Suppose I have a collection of n different objects, where n is some unknown but fixed whole number. Suppose I want to arrange k of them in a row on my shelf, where k is some...
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Coagulation and Coalescent Processes
If you haven’t read my previous post, I would suggest doing so before this. We denote by the partitions of . The thing to keep in mind here is that we want to think of a coalescent process as a history...
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