Let Y = (Y1, Y2, ..., Yn)' and Y ~ N(u, oʻI). Show that the sample mean 7 is independent of the vector of the deviations

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answerhappygod
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Let Y = (Y1, Y2, ..., Yn)' and Y ~ N(u, oʻI). Show that the sample mean 7 is independent of the vector of the deviations

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Let Y Y1 Y2 Yn And Y N U Oi Show That The Sample Mean 7 Is Independent Of The Vector Of The Deviations 1
Let Y Y1 Y2 Yn And Y N U Oi Show That The Sample Mean 7 Is Independent Of The Vector Of The Deviations 1 (34.45 KiB) Viewed 28 times
Let Y = (Y1, Y2, ..., Yn)' and Y ~ N(u, oʻI). Show that the sample mean 7 is independent of the vector of the deviations (Y1 – 7,Y2 – 7,..., Yn - Y) and therefore 7 is independent of s>, where sº is the sample variance of Yı, Y2, ..., Yn.
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