3 papers
math.PR2025
Marking and re-marking
Matthew Aldridge
A random number of items each independently marked with one of a collection of colours gives rise to the multinomial marking, which generalises binomial thinning. A multivariate ve…
math.PR2025
Discrete broadly stable distributions
Matthew Aldridge
A random variable X is strictly stable if a sum of independent copies of X has the same distribution as X up to scaling, and is stable (in the broad sense) if the sum has the same…
math.PR2025
The law of thin processes: a law of large numbers for point processes
Matthew Aldridge
If you take a superposition of n IID copies of a point process and thin that by a factor of 1/n, then the resulting process tends to a Poisson point process as n tends to infinity.…