The Cramer-Rao Functional and Limiting Laws

Eduardo Mayer-Wolf

doi:10.1214/aop/1176990861

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Home > Journals > Ann. Probab. > Volume 18 > Issue 2 > Article

April, 1990 The Cramer-Rao Functional and Limiting Laws

Eduardo Mayer-Wolf

Ann. Probab. 18(2): 840-850 (April, 1990). DOI: 10.1214/aop/1176990861

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Abstract

Some versions of the Fisher information matrix and the Cramer-Rao inequality are considered. We study properties of the Fisher matrix such as continuity and convexity and use the Cramer-Rao functional as a variational tool to prove convergence to Gaussian laws. These concepts are generalized to non-Gaussian limiting laws.