Questions tagged [poisson]
Poisson is a discrete probability distribution in statistics that is popular in probabilistic modeling (including in Bayesian statistics) as well as business forecasting.
11 questions
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Why can zero-inflated generalized Poisson model not capture the overdispersion in the count data?
I have fitted a zero-inflated Poisson (ZIP) model to my count data with an excess of zeros (figure 1). Since it didn't capture the overdispersion in the data, and overdispersion is indeed ...
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Poisson model with repeated measures and endogenous?
I have to analyze if redeeming rewards impacted visitations to our business. However, you earn more rewards the more you visit.
In other words:
More visitations = more rewards
but we want to know if
...
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Applying Hypothesis testing on single sample and non-normal distribution
A basketball game is played for 30 minutes. A coach claims that his team's players commit, on average, no more than 10 fouls per game. Let µ represent the team's average number of fouls per game. ...
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Using scipy poisson, is it possible to calculate lambda if given random variable (k) and cumulative density function (p) when k is a large value?
I'm learning the Poisson distribution and am trying to "backward" calculate lambda if given a random value (k) and cumulative density function value (p). My k value is rather large, over 200,...
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How can I obtain the mean of a Poisson distribution given the first improbable point of the distribution?
I generated a Poisson distribution with mean equal to 3 and 10000 samples by using np.random.poisson(3,10000). The plot is the following:
from this plot I see that ...
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MLE for Poisson conditioned on multivariate Gaussian?
I am writing some Python code to fit 2D Gaussians to fluorescent emitters on a dark background to determine the subpixel-resolution (x, y) position of the fluorescent emitter. The crude, pixel-...
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Difficulty understanding the difference between Poisson, Quasi-Poisson, and Negative Binomial models
I will try to keep this short.
As an assignment for my GLM course, we were given a dataset on the # of homicide victims a person knows, as well as the race of the person. The main idea is to answer ...
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regression by grouping the dependent variable
I have a large dataset exploring the effects of the independent variables on the dependent variable using Poisson regression since the dependent variable is a count variable.
However, the range of the ...
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How to implement large-scale Poisson Regression in Python
I am trying to implement a Poisson Regression in Python to predict rates. I am dealing with a ton of data (too much to store in a DataFrame), which means that using the standard statsmodels.api GLM ...
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Poisson distribution, Standard deviation, fitting line
Let's say I have system A, B, C, and D. Each system contains 10,000 numbers generated by Poisson distribution. The difference is the mean is different for different systems. I calculated the std dev ...
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Poisson model with overdisperssion
I'm working with a dataset $X$ (of length $N$) of count data, which looks like:
I developed a statistical model which can be improved, so I'm asking for any suggestions, for instance, differnet ...