poissfit

Poisson parameter estimates

Syntax

lambdahat = poissfit(data)
[lambdahat,lambdaci] = poissfit(data)
[lambdahat,lambdaci] = poissfit(data,alpha)

Description

lambdahat = poissfit(data) returns the maximum likelihood estimate (MLE) of the parameter of the Poisson distribution, λ, given the data data.

[lambdahat,lambdaci] = poissfit(data) also gives 95% confidence intervals in lamdaci.

[lambdahat,lambdaci] = poissfit(data,alpha) gives 100(1 - alpha)% confidence intervals. For example alpha = 0.001 yields 99.9% confidence intervals.

The sample mean is the MLE of λ.

λ^=1ni=1nxi

Examples

r = poissrnd(5,10,2);
[l,lci] = poissfit(r)
l =
    7.4000    6.3000
lci =
    5.8000    4.8000
    9.1000    7.9000
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