mirror of
https://github.com/Andreaierardi/Master-DataScience-Notes.git
synced 2024-11-12 06:49:37 +01:00
37 lines
475 B
R
37 lines
475 B
R
#Homework - Sept 27, 2020 - Advanced Multivariate Statistics
|
|
|
|
|
|
#=============
|
|
#Part.a)
|
|
|
|
library(distr6)
|
|
d = distr6::Uniform$new(lower = 0 , upper = 7)
|
|
#(i)
|
|
integrate(d$pdf, lower = -Inf , upper = Inf)
|
|
|
|
#(ii)
|
|
curve(d)
|
|
plot(d)
|
|
|
|
#(iii)
|
|
#The random variable is X
|
|
|
|
#(iv)
|
|
d$mgf(t = 1)
|
|
|
|
|
|
|
|
#=============
|
|
#Part.c)
|
|
|
|
|
|
x1 = c(12,11,8,14,10)
|
|
x2 = c(10,8,5,11,7)
|
|
x3= c(8,11,11,13,6)
|
|
|
|
m = matrix(c(x1,x2,x3), ncol = 3)
|
|
|
|
vector_means = c(mean(x1), mean(x2), mean(x3))
|
|
vector_means
|
|
cov(m)
|