Sep 5, 2024 · Normally, everyone talks about the distribution of interarrival times in a Poisson Process are Exponential ... but what about the distribution of the actual event times?

Oct 4, 2013 · Poisson distributed data is intrinsically integer-valued, which makes sense for count data. Ordinary Least Squares (OLS, which you call "linear regression") assumes that true values are …

Note, that a poisson distribution does not automatically imply an exponential pdf for waiting times between events. This only accounts for situations in which you know that a poisson process is at …

Feb 3, 2025 · Now I construct a compound Poisson process in the following way. Let $X_1$ be the waiting time for the $1$ -th event (of the same Poisson process defined before).

May 25, 2015 · The logic here seems obvious: The probability of a given wait time for independent events following a poisson process is determined by the exponential probability distribution $\lambda …

Aug 25, 2021 · There are different types of continuous extensions of Poisson distribution. I favor the one presented in this paper: "Continuous counterparts of Poisson and binomial distributions and their …

Jul 2, 2023 · 0 Time of the first arrival in Poisson process with rate $\lambda$ is exponential random variable $\sim Exp (\lambda)$.

How to calculate a confidence level for a Poisson distribution? Ask Question Asked 14 years, 5 months ago Modified 12 months ago

Jul 3, 2025 · Standard errors when implementing the 'Poisson Trick' (estimating multinomial from two poisson regressions) Ask Question Asked 7 months ago Modified 7 months ago

May 16, 2024 · I have been puzzling over a toy regression problem with simulated Poisson distributed data and hoping someone more educated in statistics can help me gain some insight about the …