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?
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 …
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...
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. Second, in applications, …
An intuitive explanation of the Poisson equation?
Dec 8, 2023 · The Poisson equation has similar averaging properties to Laplace's equation, however the equalities turn into inequalities. In Laplace's equation, the function is always equal to its spherical …
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 …
r - Rule of thumb for deciding between Poisson and negative binomal ...
Nov 6, 2023 · The Poisson distribution implies so a one-sample test can provide a -value for testing Poisson vs. negative binomial. Another test for equidispersion is the Lagrange Multiplier which …
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 …
How to Choose Poisson Time Interval - Cross Validated
Oct 23, 2020 · A Poisson process is one where mean = var = λ. How do you decide what time interval fulfills these criteria when fitting the Poisson distribution to a process? Can all processes be modeled …