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 …
r - Rule of thumb for deciding between Poisson and negative binomal ...
Nov 6, 2023 · In my case, these values are 0.110 and 0.023, respectively. Is there any sort of rule of thumb as to how much the variance should exceed the mean, before going to the effort of running a …
Finding the probability of time between two events for a poisson process
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 $\lambda …
Bootstrapped vs Robust in Negative Binomial vs Poisson Model
Apr 6, 2025 · Should I do a Poisson regression with robust standard errors, or a Negative Binomial regression with bootstrapped standard errors? Both provide similar results in terms of significance …
When to use negative binomial and Poisson regression
Sep 2, 2024 · When would one use a negative binomial regression and when would one use Poisson regression with respect to the mean and variance?
Probability Poisson distribution - Mathematics Stack Exchange
Apr 9, 2014 · The number of cars appearing in a car park follows a Poisson distribution with a mean of 10 cars per hour. Find the probability of there being: (a) Exactly 5 cars in a 30 minute interval, (b) At …
When can we compute the CDF of the Compound Poisson process
Mar 28, 2024 · Compound Poisson distributions are special cases of infinitely divisible distributions. Their characteristic functions can be written in neat form.
Why is there little difference in glm fit using poisson and gaussian ...
May 16, 2024 · I have been puzzling over a toy regression problem with simulated Poisson distributed data and hoping someone more educated in statistics can help me gain some insight about the …
Poisson regression to estimate relative risk for binary outcomes
From Poisson regression, relative risks can be reported, which some have argued are easier to interpret compared with odds ratios, especially for frequent outcomes, and especially by individuals without a …