probability - Distribution of Event Times in a Poisson Process ...
Sep 5, 2024 · Normally, everyone talks about the distribution of interarrival times in a Poisson Process are Exponential ... but what about the distribution of the actual event times?
Derivation of the variance of the Poisson distribution
Oct 13, 2022 · Is this derivation of the Poisson variance correct? I mainly want to make sure I'm applying the Law of the Unconscious Statistician (LOTUS) correctly. $ Var[X] = E[X^2] - E[X]^2 …
Why is Poisson regression used for count data? - Cross Validated
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 …
Checking if two Poisson samples have the same mean
To test the Poisson mean, the conditional method was proposed by Przyborowski and Wilenski (1940). The conditional distribution of X1 given X1+X2 follows a binomial distribution whose …
Residuals in poisson regression - Cross Validated
May 17, 2014 · 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 …
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 …
How to choose between poisson and binomial distributions
The Poisson distribution is easier to work with than the binomial distribution. It is easier to compute the pdf and especially the cdf. Its generating functions have nice properties. Etc. …
Difference between Poisson and Binomial distributions.
If both the Poisson and Binomial distribution are discrete, then why do we need two different distributions?
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 …
Continuous Poisson Distribution - Mathematics Stack Exchange
Aug 25, 2021 · There are different types of continuous extensions of Poisson distribution. I favor the one presented in this paper: "Continuous counterparts of Poisson and binomial …