Questions tagged [poisson]

The Poisson distribution is a statistical discrete distribution for describing events occurring at random intervals. It is defined on the non-negative integers that has the property in which the mean is equal to the variance.

The Poisson probability distribution is used to model the probability of a number of events occurring during a specified time interval.

The Poisson distribution is characterized by an expected arrival rate, usually designated by the Greek lower-case letter lambda.

A discrete random variable X has a Poisson distribution indexed by a parameter λ if it has probability mass function as following:

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Useful links:

Wikipedia entry for the Poisson distribution.

How do I generate discrete random events with a Poisson distribution?

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Fitting Negative Binomial Model

I am trying to run the negative binomial model for the following model. Replicating the results of Table 3 in this paper Association Between Gun Law Reforms di = ln(ni) + β00 + β10 yeari + ei, i = 1997, …, 2013 where, d = crude death rate, n =…
Srin
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Poisson probability for a range of numbers in Python

Just to let everybody know the context, I will tell my aim prior my question. I´m trying to modelize, for soccer matches prediction, corners and goals. In order to modelize it, I´m trying with a discretized normal distribution, and as the title…
puppet
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create random number from a poisson dist. using MersenneTwister

Hi I have a simulation I'm runnning in which I get random numbers from a uniform and normal distributions easily: #include #include "MersenneTwister.h" using namespace std; int main() { MTRand mtrand1; double r1,r2; r1 =…
jarhead
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Solving Poisson's Equation using basic do-while loops

My program runs. However, it seems that the do-while loop won't loop. This is because the output always declare "...was obtained after 1 iterations". I mean it should take more than 1 iterations. I would like to ask for help for I am facing a brick…
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Exponential/Poisson distribution

Tom enters the post office where 5 people are being served, each by a different sales clerk. He will be called up as soon as any one of the 5 people currently being attended to are finished. The service time for each individual by each cleark has an…
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Maximum Likelihood Estimation - Comparing two distributions

I have an exercise, where I am given 5 data points: x1 = 10, x2 = 7, x3 = 1, x4 = 15, x5 = 8 generated independently. For the first part, I am told that they follow a Poisson distribution, of parameter theta and I am asked to find the maximum…
Eman Yalpsid
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How to Use Poisson distribution to calculate the approximated probability in R?

An article in the Los Angeles Times (Dec. 3, 1993) reports that 1 in 200 people carry the defective gene that causes inherited colon cancer. In a sample of 1000 individuals, what is the approximate distribution of the number who carry this gene? Use…
mug
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How to obtain Poisson's distribution "lambda" from R glm() coefficients

My R-script produces glm() coeffs below. What is Poisson's lambda, then? It should be ~3.0 since that's what I used to create the distribution. Call: glm(formula = h_counts ~ ., family = poisson(link = log), data = pois_ideal_data) Deviance…
sermolin
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PoissonDistribution determinate lambda

If I have an event like this: "In mean I create 5 object every ten minute". I have to use the Poisson Distribution http://en.wikipedia.org/wiki/Poisson_distribution: I must determinate the parameter lambda. I think lambda is (temporalInterval /…
doflamingo
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Can smbd help me to convert some values from real to virtual

I have very strange but very important question for me. So if you have some free minutes - read next sentences. My mission is: generate values (times) for incoming and outcoming cars on the road. And, from real world I have some variables: length…
Maria
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Precision of algorithm for Poisson regression (glm, R)

I want to do Poisson regression, but I need my regression function to run faster than glm and with at least as much precision. Consider the following experiment: ## Here is some "data": da = data.frame(matrix(c(0,1,212,1,0,200,1,1,27), nrow = 3,…
zkurtz
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Generate random numbers from poisson distribution

I want to generate 60 random numbers from a poisson distribution with a mean of M = 4 and a range of min = 2 max = 9. Does anybody know how to solve this (preferably in Matlab?). Best!
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Normalizing data for Poisson MLE

I am trying to find the lambda parameter for a dataset by MLE. This seems rather easy as described here http://en.wikipedia.org/wiki/Poisson_distribution My problem is that I am trying to fit data that does not correspond easily with the low values…
Marc E.
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How to solve an R problem with both exponential and poisson distribution?

I have come across questions in R which deal with exponential and poisson distributions separately, but I am unsure about how to go about it when you need to use both in the same question The number of customers attending a shop in (0,t) has…
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Binomial & Poisson Distribution on dynamic Dataset

I have a few datasets with large size and they are discrete in nature. I want to fit that data in a few distribution functions, to understand the outlyers in that data. But I am not able to find a few variables like "p" value and variance of the…
Sitz Blogz
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