Each of these quadratic forms is non-negative definite. In each case, the expected value is a non-negative
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Each of these quadratic forms is non-negative definite. In each case, the expected value is a non-negative linear combination of the four variance components, in which the coefficient of \(\sigma_{0}^{2}\) is the rank of the quadratic form. Find the expected value of each quadratic form as a linear combination of the four variance components.
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