probability - Distribution of Event Times in a Poisson Process ...
Sep 5, 2024 · I am trying to learn how to prove the following: if we know k k events occurred in a Poisson process between times t1 t 1 and t2 t 2, the exact times of these events are uniformly …
Why is Poisson regression used for count data?
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 …
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 …
Relationship between poisson and exponential distribution
The waiting times for poisson distribution is an exponential distribution with parameter lambda. But I don't understand it. Poisson models the number of arrivals per unit of time for example. How i...
Poisson or quasi poisson in a regression with count data and ...
I have count data (demand/offer analysis with counting number of customers, depending on - possibly - many factors). I tried a linear regression with normal errors, but my QQ-plot is not really goo...
r - Rule of thumb for deciding between Poisson and negative binomal ...
Nov 6, 2023 · The Poisson model may estimate P too low, but I assume there's quite a few orders of magnitude to go before the interpretation changes (without considering any multiplicity or other …
What is the correct inter-arrival time distribution in a Poisson process?
What is the correct inter-arrival time distribution in a Poisson process? Ask Question Asked 13 years, 4 months ago Modified 9 years, 2 months ago
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 …
Why Specifically Use Poisson Regression For Count Data?
Sep 8, 2022 · Why should Poisson Regression be used for Count Data instead of a "vanilla linear regression"? I understand the basic argument : Count Data is by definition discrete and you would …
Residuals in poisson regression - Cross Validated
Zuur 2013 Beginners Guide to GLM & GLMM suggests validating a Poisson regression by plotting Pearsons residuals against fitted values. Zuur states we shouldn't see the residuals fanning out as ...