Likelihood Functions
Explore the relative likelihood and log relative likelihood functions for various probability distributions. Select the function you wish to plot for your chosen distribution. Then enter a sample size and a value for the maximum likelihood estimate of θ to see what the corresponding function looks like. You can also add a second line and a second sample size. Note: this app is theoretical and allows specification of impossible scenarios, such as a Binomial m.l.e. of 0.5 when the sample size is odd.
Select function:
Relative likelihood
Log relative likelihood
Select distribution:
Binomial (n, θ)
Poisson(θ)
Exponential (θ)
Numeric or slider input?
Numeric
Slider
Enter sample size
Enter sample proportion
Enter sample mean
Enter sample mean
Select sample size
Select sample proportion
Select sample mean
Select sample mean
Add second sample size
Enter second sample size
Select second sample size