Sum of two Poisson variables
One of the useful properties of the Poisson distribution is that when you add multiple Poisson distributions together, the result is also a Poisson distribution.
Here you'll generate two random Poisson variables to test this.
Bu egzersiz
Foundations of Probability in R
kursunun bir parçasıdırEgzersiz talimatları
- Simulate 100,000 draws from the Poisson(1) distribution, saving them as
X. - Simulate 100,000 draws separately from the Poisson(2) distribution, and save them as
Y. - Add
XandYtogether to create a variableZ. - We expect
Zto follow a Poisson(3) distribution. Use thecompare_histogramsfunction to compareZto 100,000 draws from a Poisson(3) distribution.
Uygulamalı interaktif egzersiz
Bu örnek kodu tamamlayarak bu egzersizi bitirin.
# Simulate 100,000 draws from Poisson(1)
# Simulate 100,000 draws from Poisson(2)
# Add X and Y together to create Z
# Use compare_histograms to compare Z to the Poisson(3)