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categoryإحصاء schoolبكالوريوس event_available2026-07-13

السؤال

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Show that if TЄt(n), then T2 = F(1, n)., wherein, t(n) is the Student's distribution and F(1,n) is the Fisher's distribution. As shown below. (1+)(n+1)/2' Distribution, notation (Student's) t t(n), n = 1, 2,... (Fisher's) F r(+1) Density f(x) = d r(mn)(mm/2 f(x) = ((7) F(m, n), m, n = 1, 2,... x>x >∞- m/2-1 (1+mx)(m+n)/2 EX Var X 4x(t) n 0 n > 2 n-2 n n-2' x>0 n > 2 n2(m+2) m(n-2)(n−4) – (n-2)², n>4

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