The Lindeberg-Feller and Lyapunov Conditions in Infinite Dimensions

06/05/2022

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The Lindeberg-Feller and Lyapunov Central Limit Theorems are generalized to Hilbert Spaces. They are also shown to force random variables into a bounded and compact topology, confining their shapes and sizes to some finite space useful for non-parametric inference.

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The Lindeberg-Feller and Lyapunov Conditions in Infinite Dimensions

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The Lindeberg-Feller and Lyapunov Conditions in Infinite Dimensions

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