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  1. 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?

  2. 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 …

  3. 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 …

  4. 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 …

  5. 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 …

  6. r - Rule of thumb for deciding between Poisson and negative …

    Nov 6, 2023 · The Poisson model may estimate 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 …

  7. 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 …

  8. Finding the probability of time between two events for a poisson …

    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 …

  9. What is the correct inter-arrival time distribution in a Poisson …

    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

  10. 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 …