1. Let r1,...,In be a random sample from the Bin(5, 0) distribution f(r;0) = ) 10(1-0)6-, r; = 0, 1, 2, 3, 4, 5 %3D (a) Find the mle of 0 (b) Find the Fisher information I(0) (c) Is the variance of the mle equal to the CRLB?

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1. Let r1,..., In be a random sample from the Bin(5, 0) distribution
f(r; 0) = ()
0(1-0)5-,
X; = 0, 1,2, 3, 4,5
(a) Find the mle of 0
(b) Find the Fisher information I(0)
(c) Is the variance of the mle equal to the CRLB?
Transcribed Image Text:1. Let r1,..., In be a random sample from the Bin(5, 0) distribution f(r; 0) = () 0(1-0)5-, X; = 0, 1,2, 3, 4,5 (a) Find the mle of 0 (b) Find the Fisher information I(0) (c) Is the variance of the mle equal to the CRLB?
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