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Jneurosci Org BASIC STATISTICS 5 VarX= σ2 X = EX 2 − (EX)2 = EX2 − µ2 X (22) ⇒ EX2 = σ2 X − µ 2 X 24 Unbiased Statistics We say that a statistic T(X)is an unbiased statistic for the parameter θ of theunderlying probabilitydistributionifET(X)=θGiventhisdefinition,X¯ isanunbiasedstatistic for µ,and S2 is an unbiased statisticfor σ2 in a random sample 3Y È l l f g c h a c u } y c g x b e g b b g h e c b a l a e a p u e a b g Ì a m É h g y h a y u g i b r h h f y f a Ì e a Ô= > 2 8 0 Õ Ù ã2 ä 0 8 Ü 2 0 8 6 2 ( ä 3 8 1 8 > ? Politecnico j.i.c. x inder girardota