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Question: Can't understand how Statistics[Likelihood] works

Question:Can't understand how Statistics[Likelihood] works

sand15 802 Maple 2016
likelihood
May 22 2018
0

Hi,
Can somebody explain me these strange results ?

 

restart:
with(Statistics):
X := RandomVariable(Normal(1.0, 1.0)):
S := Sample(X, 10):

# naively... but it's not what I was expecting for
#                maybe a misuse of the 'normalize=truefalse' option ????
Likelihood(Normal(1.0, 1.0), S);
     1     # a strange answer

# 2nd way
A := Likelihood(Normal(m, 1.0), S):
evalf(subs(m=1.0, A));   # this is the good answer
   0.004387

# third way
Likelihood(Normal(1.0, 1.0), S, 'normalize=false');
   4.48e-7    # a wrong answer

 

Thanks for your enlightenment
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