The question of definability in the simple predicate calculus on a finite model without equality

A note on equality of MINQUE and simple

A note on equality of MINQUE and simple estimator in the general Gauss-Markov model

✍ Jürgen Groβ 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 260 KB

Under the general Gauss-Markov model {y, XI~, a 2 V}, equality of MINQUE and so called 'simple' estimator (1/f)y v (I -XX+)y with f=rank(X:V)rank(X) for 0 "2 is considered. It is revealed that this equality holds if and only if the quadratic form (1/a2)yT(l --XX +)y admits a xZ-distribution under no