I’m trying to arrive at the function that describes the following, but can’t quite figure it out for multiple blocks. (there are some useful insights for a single block here.)
assume the Poisson point process that is the arrival of proof-of-work blocks on Monero. the mean of the block times is the target block time t (120 seconds).
also assume n subsequent blocks.
also assume p, the probability of n subsequent blocks having a mean block time less than or equal to T.
given t, n and p, how can I calculate T?
1 point
thank you very much, Rucknium. your understanding of my question was spot-on, and the R code works excellently! very useful.
I’d like to ask a few more questions:
- is
314a common seed in R, or just something you randomly picked? - in statistics in general, are there cases where
n * 100000random samples (any distribution) would be insufficient? is it a good rule of thumb?
