han123yang 发表于 2010-1-9 00:44 
就是在多元线性回归求参数时用到的
If F(x) is a cumulative probability distribution function of any probability distribution,
then the nth moment of the probability distribution is given by the following integral
E(x^n) = integal x^n * dF(x) from negative infinty to positive infinity,
when n=2, it is second order moment.
if x is center at 0, then it is the variance in an univariate distribution. Likewise in such a case, the second order moment matrix is covariance under multvariates distribution.
Often in ML under certain regulities, the estimation covariance matrix is equal to inverse of negative hessian matrix.
HTH