
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 …
Autocorrelation function for a Compound Poisson Process?
Feb 3, 2025 · Now I construct a compound Poisson process in the following way. Let $X_1$ be the waiting time for the $1$ -th event (of the same Poisson process defined before).
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 …
Finding the probability of time between two events for a poisson …
May 25, 2015 · If two events occur at a rate of 1.8 per hour on average, and this occurrence follows a poisson process, what is the probability that there is at least 1 hour between two …
poisson distribution - How to interpret hurdle model in glmmTMB
Apr 22, 2025 · Ultimately I am trying to compare if the generalized poisson or hurdle model is a better fit for my data but I am having trouble interpreting the glmmTMB hurdle model summary …
probability - Why is the Poisson distribution not necessarily ...
Nov 6, 2023 · The Poisson distribution has a semi-infinite support on non-negative integers so, looking from the median, it has a finite tail to the left and an infinite tail to the right and thus is …
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 …
Probability Poisson distribution - Mathematics Stack Exchange
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 …
r - Poisson model for non-integer - Cross Validated
Feb 19, 2023 · The Poisson and quasi-Poisson models differ in their assumptions about the form of the function relating the mean and variance of each observation. The Poisson assumes the …