
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 …
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 …
Finding the probability of time between two events for a poisson process
May 25, 2015 · If two events occur at a rate of 1.8 per hour on average, and this occurrence follows a poisson process, what is the probability that there is at least 1 hour between two events? My …
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 1 year 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 $\sim Exp (\lambda)$.
Poisson regression for rare events? - Cross Validated
Dec 7, 2023 · Poisson regression is commonly used to analyse count data. However, when we deal with rare events it does not seem to be appropriate any more. At least, graphical criteria to assess the …
probability - Using Chernoff's Bound on a Poisson distribution ...
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 $X\geq5$.
Thinning a Poisson Process - Mathematics Stack Exchange
Suppose that events are produced according to a Poisson process with an average of lambda events per minute. Each event has a probability p p of being Type A event, independent of other events.
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 …
logistic - Pros and Cons of Log Link Versus Identity Link for Poisson ...
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 …