Illustrating the Use of Discrete Distributions

​
Poisson
λ
10.
Bernoulli
p
0.2
Geometric
p
0.5
Binomial
n
40
p
0.1
Negative binomial
n
2
p
0.26
Discrete Uniform
min
2
max
8
Beta Binomial
α
0.41
β
0.28
n
12
Beta Negative Binomial
α
3
β
0.71
n
12
Hypergeometric
n
0
n
succ
0
n
tot
1
Zipf
p
1.5
Logarithmic Series
θ
0.5
Skellam
μ
1
0.001
μ
2
3
annotate
ListPlot
joined
grid
vertical lines
BarChart
space between bars
Yellow
bar color
95%
Quantile
This Demonstration illustrates the use of many of the discrete distributions in Mathematica 8.
Select the distribution from the display, then select the values of the parameters by using the sliders. The PMF (probability mass function) and the CDF (cumulative distribution function) are displayed. As you mouse over each bar in the PMF plot (when in bar chart mode), the height of the bar is displayed automatically.

External Links

Discrete Distributions (Wolfram Documentation Center)

Permanent Citation

Nasser M. Abbasi
​
​"Illustrating the Use of Discrete Distributions"​
​http://demonstrations.wolfram.com/IllustratingTheUseOfDiscreteDistributions/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011