Question

R codeing simulation

For n = 20, simulate a random sample of size n from N(µ, 2 2 ), where µ = 1. Note that we just use µ = 1 to generate the random sample. In the problem below, µ is an unknown parameter. Plot in different figures: (a) the likelihood function of µ, (b) the log likelihood function of µ. Mark in both plots the maximum likelihood estimate of µ from the generated random sample

(2) For n-20, simulate a random sample of size n from N(μ, 22), where μ i. Note that we just use μ = 1 to generate the random sample. In the problem below, μ is an unknown parameter. Plot in different figures: (a) the likelihood function of μ, (b) the log likelihood function of μ. Mark in both plots the maximurn likelihood estimate of μ from the generated random sample.

Answer 1

3 0 fonti in 1:29 A24 retumtif) b) functon(x) S 0 for (i in 20 A24 return lolt») Cum/e ext 11.908823, 2961,"**..' Col. "bue") -49, aximum peins caye Shoipn blue *

L(mu) 0.0e+00 5.0e-23 1.0e-22 1.5e-22 2.0e-22 2.5e-22 2

LnL(mu)) -250 -200 -150 -100 -50