Is there a probability distribution similar to Poisson, but with controlled variance?

Question

Poisson distribution with a lambda has a fixed mean and fixed variance; both mean and variance are equal to the $\lambda$ parameter. I am looking for a distribution to generate samples that has properties similar to Poisson, but with smaller variance instead of a variance equal to $\lambda$.

Does Poisson have a family of distributions in which mean and variance can be controlled by two different parameters?

That has larger variance, not smaller as OP requests in the post — Glen_b, Mar 24 '20 at 04:21

score 0 · Answer 1 · answered Mar 24 '20 at 03:19

0

See Joe Hilbe's response at What is the appropriate model for underdispersed count data?

If it pertains to count data, Hilbe is the guru.

answered Mar 24 '20 at 03:19

Mike Anderson

225
1
3

Is there a probability distribution similar to Poisson, but with controlled variance?

1 Answers1