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X e V e W Let Φ be the fundamental solution of Laplace's equation That is, Φ(x) =¡ 1 2 lnjxj n = 2 1 n(n¡2)fi(n) 1 jxjn¡2 n ‚ 3 Suppose u 2 C2(Ω)By the Divergence Theorem, we have Z V† Φ(y ¡x)∆u(y)dy = ¡Z V† ryΦ(y ¡x)¢ryu(y)dy Z @V† Φ(y ¡x)@uBASIC 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 3Such a game is actually identical with a game G (Y) defined as follows denoting by P the set of prefixes of the words of R, let Y be the set of infinite words y = y 0 y 1 such that either y ∈ X ∩ R (ie Player I has won G(X) and both players have played consistently with the rules) or the smallest index n such that y 0 y 1 A Short French Grammar ƒƒ"ƒY –ÑŒŠ ƒGƒXƒe