Continuous-time processes with attraction?

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The discussion revolves around finding a suitable statistical model for data that does not fit the assumptions of a Poisson process due to its independence requirement. The negative binomial distribution is suggested as a potential alternative, as it includes parameters that could account for attraction or repulsion among data points. Participants express interest in testing this distribution to see how well it models their specific population. The conversation highlights the need for models that can accommodate dependencies in data. Overall, the negative binomial distribution may provide a viable solution for modeling continuous-time processes with attraction.
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I'm trying to find a good model, and I wanted to find a process that fits. The Poisson process almost fits, but unfortunately the independence assumption is too strong for my data. Is there a similar process that has a parameter (or several) that allow for points to attract or repel others, like zeta zeros?

I've never been good with statistics, so there could be a very simple process I've overlooked, I don't know.
 
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CRGreathouse said:
I'm trying to find a good model, and I wanted to find a process that fits. The Poisson process almost fits, but unfortunately the independence assumption is too strong for my data. Is there a similar process that has a parameter (or several) that allow for points to attract or repel others, like zeta zeros?

I've never been good with statistics, so there could be a very simple process I've overlooked, I don't know.

Negative binomial distribution?
The distribution is described by 2 parameters.
One could be considered a "dispersion" parameter;
a degree of "clumping" in the population?
Maybe it could provide a knob for dialing up or down the degree of attraction or repulsion.
 
fopc said:
Negative binomial distribution?
The distribution is described by 2 parameters.
One could be considered a "dispersion" parameter;
a degree of "clumping" in the population?
Maybe it could provide a knob for dialing up or down the degree of attraction or repulsion.

Oh, cool. This looks good -- I'll have to try it with my population to see how well it can model it.

Thanks!
 
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