Relationship between poisson and exponential distribution
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 …
Finding the probability of time between two events for a poisson process
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 …
How does Poisson thinning work? - Mathematics Stack Exchange
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 …
How to calculate a confidence level for a Poisson distribution?
How to calculate a confidence level for a Poisson distribution? Ask Question Asked 14 years, 5 months ago Modified 12 months ago
Distribution of the time for the first ocurrence in a Poisson Process ...
Jul 2, 2023 · 0 Time of the first arrival in Poisson process with rate $\lambda$ is exponential random variable $\sim Exp (\lambda)$.
Autocorrelation function for a Compound Poisson Process?
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).
Estimating $\lambda$ in a Poisson Distribution from a set of data
Mar 18, 2023 · Since the mean of the Poisson distribution is $\lambda$, you can use this to estimate $\lambda$. The "theoretical" values in the table are then obtained using the formula for the Poisson …
Standard errors when implementing the 'Poisson Trick' (estimating ...
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
Why is there little difference in glm fit using poisson and gaussian ...
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 …
Solution for Overdispersion in Poisson Regression
Oct 14, 2023 · I have run poisson regression in SPSS (Generalized Linear Model), where BMI is my IV and length of stay (LOS) in hospital for certain disease is my DV (and it's a count variable). When I …