Posterior Gamma process samples by updating prior samples

October 12, 2022 — October 12, 2022

functional analysis
generative
Hilbert space
kernel tricks
measure
nonparametric
Lévy processes
physics
point processes
probability
SDEs
spatial
statistics
stochastic processes
time series
uncertainty
Figure 1

Can we find a transformation that will turn a Gamma process prior sample into a Gamma process posterior sample?

What are the summary statistics for such a process with respect to which we could construct an update? Would it be in terms of rate changes or addition of other processes?