Nov 6, 2023 · The Poisson distribution implies so a one-sample test can provide a -value for testing Poisson vs. negative binomial. Another test for equidispersion is the Lagrange Multiplier which …

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 …

Oct 19, 2024 · The Poisson process on $\mathbb {R}$ is called non-homogenous with rate $\lambda (t)$ if its intensity measure has density $\lambda (t)$ (total mass of which might not equal 1, but …

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 …

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

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).

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

What are the pros can cons of these two different link functions in Poisson regression, given my goal of comparing differences? I also have the same goal in mind for a logistic/binomial regression (to use a …

This was in discussions of interpreting logistic regression coefficients, but Poisson regression is similar if you use an offset of time at risk to get rates. You add first all the coefficients (including the intercept …

Jun 6, 2021 · As an example, let $X\sim Poisson (p\lambda)$ where $\lambda=10$ and $p=0.3$. I want to use Chernoff's Bound to find the upper bound for the probability that $X\geq5$.