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  1. 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 …

  2. 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, …

  3. 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 …

  4. Difference between Poisson and Binomial distributions.

    If both the Poisson and Binomial distribution are discrete, then why do we need two different distributions?

  5. 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 …

  6. 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...

  7. 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...

  8. 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?

  9. Goodness of Fit for (presumably) poisson distributed data

    Dec 8, 2021 · A Poisson distribution with a mean in this range is practically indistinguishable from a Normal distribution (with all values rounded to the nearest integer, of course) and these data don't …

  10. 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