# Questions tagged [set-theory]

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### How to implement conditional probability distribution on set-valued Random variables?

A Random Set is a set-valued RV, i.e. a map $X:\Omega\to\mathcal{C}$ from a probability space $(\Omega,\Lambda,P)$ to the family of measurable closed sets $\mathcal{C}$ on a $\sigma-$algebra $\Lambda$ ...
95 views

### Intuition - Uncountable sum of zeros

I am reading the Probability Lifesaver and in the introduction to continuous variables it shows the contradiction when summing infinite number of zeros such as the union of signleton events as, I can ...
71 views

### statistical method for finding significant numbers in a set [closed]

Suppose that we have a population of $N= 1000$ people and they want to select 5 items (for simplicity) $\{A, B, C, D, E\}$ (but actually number of items is in the order of thousands). Number of ...
23 views

### Difference between outcome space and sample space

I have 26 tiles each one with a different letter of the English alphabet: $A, B, C,...,Z.$ I draw two tiles with replacement. The possible outcomes are: $$S=\{AA, AB, AC,..., AZ, BA,...,ZZ\},$$ which ...
36 views

### When to stop enumerating a set of unknown cardinality via random sampling?

DNS resolution can sometimes return one of multiple IP addresses, for load balancing. I would like to enumerate a list of IPs for a service so I can whitelist traffic to a domain without performing an ...