Machine generated contents note: 1 Classical Statistical Procedures -- 1.1 Introduction -- 1.2 The Score Vector, the Information Matrix, and the Cramer-Rao -- Lower Bound -- 1.3 Maximum Likelihood Estimators and Test Procedures -- 1.4 Nuisance Parameters -- 1.5 Differentiation and Asymptotics --...

Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (1988) we derive an almost sure limit theorem for families of random matrices with a multiparameter which satisfy a supermultiplicativity condition. This gives a multiparameter analogue of results of...