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.
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
10
1,000
0
0
50
10
110
210
310
410
510
610
710
810
910
1,000
Select sample proportion
0
1
0
0
0.5
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Select sample mean
1
20
0
0
5
1
3
5
7
9
11
13
15
17
19
20
Select sample mean
1
20
0
0
5
1
3
5
7
9
11
13
15
17
19
20
Add second sample size
Enter second sample size
Select second sample size
10
1,000
0
0
100
10
109
208
307
406
505
604
703
802
901
1,000