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?
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 …
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 normally distributed …
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 success …
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 the …
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...
Difference between Poisson and Binomial distributions.
If both the Poisson and Binomial distribution are discrete, then why do we need two different distributions?
intuition - Why is the Poisson distribution chosen to model arrival ...
The Poisson process involves a "memoryless" waiting time until the arrival of the next customer. Suppose the average time from one customer to the next is $\theta$. A memoryless continuous …
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 …
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 distributions and their …