Let X₁, X₂, X3,...,Xn be a random sample of n from population X distributed with the following probability density function: 1 f(x; 0)=√√2π0 V2πθ 0, (i) Find the parameter space of 0. (ii) Find the maximum likelihood estimator of 0. if -∞0 < x <∞ otherwise

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Let X₁, X₂, X3,...,Xn be a random sample of n from population X distributed with the following
probability density function:
1
f(x; 0)=√√2π0
0,
e 20
(i)
Find the parameter space of 0.
(ii) Find the maximum likelihood estimator of 0.
"
if -∞0 < x < 0
otherwise
Transcribed Image Text:Let X₁, X₂, X3,...,Xn be a random sample of n from population X distributed with the following probability density function: 1 f(x; 0)=√√2π0 0, e 20 (i) Find the parameter space of 0. (ii) Find the maximum likelihood estimator of 0. " if -∞0 < x < 0 otherwise
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