Electrical Engineering > GATE 2023 > Statistics
One million random numbers are generated from a statistically stationary process with a Gaussian distribution with mean zero and standard deviation σo.
The σo is estimated by randomly drawing out 10,000 numbers of samples (xn). The estimates σ̂1, σ̂2 are computed in the following two ways.
Which of the following statements is true?
A
E(σ̂22)=σo2
B
E(σ̂2)=σo
C
E(σ̂12)=σo2
D
E(σ̂1)=E(σ̂2)

Explanation

Correct : a

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