(New page: E[x-q(x))^2] = Integral from -inf to inf (x-q(x))^2*fx(x)dx =integral from 0 to 1 (x-q(x))^2dx E[g(x)] = integral from -inf to inf g(x)fx(x)dx) |
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E[g(x)] = integral from -inf to inf g(x)fx(x)dx | E[g(x)] = integral from -inf to inf g(x)fx(x)dx | ||
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| + | E[x-q(x))^2] = split the integral up at 1/2 | ||
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| + | = integral 0 to 1/2 (x-0)^2dx + integral 1/2 to 1 (x-1/2)^2dx | ||
Latest revision as of 08:44, 10 December 2008
E[x-q(x))^2] = Integral from -inf to inf (x-q(x))^2*fx(x)dx =integral from 0 to 1 (x-q(x))^2dx
E[g(x)] = integral from -inf to inf g(x)fx(x)dx
E[x-q(x))^2] = split the integral up at 1/2
= integral 0 to 1/2 (x-0)^2dx + integral 1/2 to 1 (x-1/2)^2dx
