Statistics Toolbox

poissfit

Parameter estimates and confidence intervals for Poisson data

Syntax

• lambdahat = poissfit(X)
  [lambdahat,lambdaci] = poissfit(X)
  [lambdahat,lambdaci] = poissfit(X,alpha)
  

Description

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

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

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

The sample average is the MLE of .

Example

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

See Also

betafit, binofit, expfit, gamfit, poisscdf, poissinv, poisspdf, poissrnd, poisstat, unifit, weibfit

poisscdf

poissinv