Questions tagged [logarithmic-series-distribution]
Use this tag to refer to the (discrete) logarithmic-series distribution.
11 questions
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Log-concavity of a discrete random distribution
I'm working with a discrete distribution on the set of non-negative integers. The step-wise cumulative distribution function at any non-negative integer $i$ is
$$
F_i = \frac{2}{\log w}[\log(1+w^{i+1})...
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How to log transform a small percentage value?
My independent variable is interest rate, which is small positive variable(less than 1). When I log transform the values, they turn negative because the values are smaller than 1. What is the solution?...
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Which method of logarithmic transformation is correct to use in linear model?
I try to do a simple linear model with logarithmic transformation of y values. I found that depending on which method I use the results differ and I don't ...
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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. ...
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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 ...
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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 ...
Stuart Spumoni
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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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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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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 ...
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