
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 …
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 …
Finding the probability of time between two events for a poisson …
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 …
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 …
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 …
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 …
logistic - Pros and Cons of Log Link Versus Identity Link for …
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 …