Use this tag to refer to the (discrete) logarithmic-series distribution.
The logarithmic-series distribution is a right-skew discrete distribution on the positive integers whose pmf p(x) is proportional to p^x/x.
Questions tagged [logarithmic-series-distribution]
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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 that it was exponential family (a fact I hadn't…
Glen_b
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Which type of regression model for count data should I use for log-series?
I am attempting to identify the effects of mealtime habits on fast food consumption. In this case, the dependent variable is number of times per week a respondent reported eating fast food. As this is count data, I'm using a Poisson or…
Stuart Spumoni
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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 $x=1,2,...$
Using the axiom, $P(S) =…
Syzorr
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How to depict a histogram with a wide range of negative/positive data? Is this logarithmic?
I want to show some data on a range from -50 to 20 and I especially want to show the details as values approach 0. The graph of the data is shown below. The problem is what do you call such a scale. If this were only positive or negative numbers I…
BSD
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Order statistics for log series distribution?
I am trying to obtain the probability mass function for various order statistics of a log series distribution for a given $n$. To do so, I tried modifying the code given in this question: Simulating order statistics (as well as using the dbinom…
Srijith
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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 zero values prevents me from using exponential and power law…
FaCoffee
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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 with 15 minutes time window and this are my data.…
explorer
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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 $n$ balls is $P(N=n)$, where $P(N=n)\tilde{}Log(p)$ in…
Sebastian Lehmann
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