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This course examines quadratic forms for multivariate normal variables, including their distributions, mean, variance, covariance, and independence. It also covers Cochran's theorem and proofs of independence results.
Syllabus
Distribution of quadratic form n(xbar-mu)Sigma(xbar-mu), where x~MVN(mu,sigma).
Mean, Variance, and Covariance of Quadratic Forms.
Distribution of Quadratic Forms (part 1).
Distribution of Quadratic Forms (part 2).
Distribution of Quadratic Forms (part 3).
Cochran's Theorem.
Independence of Quadratic Forms.
Independence of Quadratic Forms (another proof).
Taught by
statisticsmatt