2 Two-Scale Convergence Definition and Results 15 2.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.2 Link with Weak Convergence . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.3 Injection Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.4 Two-Scale Convergence criterion . . . . . . . . . . . . . . . . . . ....

To determine the maximum likelihood estimate in case of the iterative solution of the likelihood equations we need a convergence criterion. Usually numerically motivated convergence criteria are used; we propose a statistically motivated convergence criterion. Our criterion reduces the number of iterations tremendously. The iterative algorithm to solve the equations is known to be unstable in t...

We give a criterion for H-convergence of elasticity tensors in terms of ordinary weak convergence of the factors in certain quotient representations of the tensors.