Suppose that z,., Zn are fixed constants and that for i = 1,..,n, X, is normally distributed with mean z, and variance 0 z?. Find the ml efor 0 from a sample of size n, and discuss its properties

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Suppose that z1,., Zn are fixed constants and that for i = 1,..,n, X, is normally distributed with
mean zą and variance 0 z?. Find the ml efor 0 from a sample of size n, and discuss its properties
namely:
a) Mean
b) Variance
c) Is it MVUE?
HINT: If Z~Normal(0,1), E(Z³)=0 and E(Z*)=3.
Transcribed Image Text:Suppose that z1,., Zn are fixed constants and that for i = 1,..,n, X, is normally distributed with mean zą and variance 0 z?. Find the ml efor 0 from a sample of size n, and discuss its properties namely: a) Mean b) Variance c) Is it MVUE? HINT: If Z~Normal(0,1), E(Z³)=0 and E(Z*)=3.
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