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Questions tagged [logarithmic-series]

Use this tag to refer to the (discrete) logarithmic-series distribution.

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Using probability for estimate event time

I have dataset about file creation durring a year. From this dataset I extract subset for days when user created just one file. there is information (timestamp) when that happened. I created a bins ...
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40 views

How to calculate the mean of a certain urn experiment

I'm sorry if my style of formulation is a bit sloppy Let us assume that we have an abstract urn with balls having $S$ different colors. The probbility that the color $i$ ranging from $1..S$ has $n$ ...
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How to interpret a dataset with a pseudo-logarithmic trend?

I am dealing with a scatterplot where I am trying to figure out the relationship between two variables, but I have so far failed to identify what the best fit could be. The presence of ...
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101 views

HOMEWORK: Proving Log-Series Distribution

This is just a quick query to confirm that I have this right and that my way of constructing it is correct. We were asked to prove: $a=\frac{-1}{log(1-\theta)}$ for $p(x)=a\frac{\theta^x}{x}$ for $...
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Closed form function relating $\mu$ to the natural parameter for the logarithmic series distribution?

While answering another question here, I mentioned the logarithmic series distribution as a possible model for species per genus. In the course of looking at the pmf while answering that I realized ...