Laws Of Large Numbers For Normed Linear Spaces And Certain Frechet Spaces
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Laws of Large Numbers for Normed Linear Spaces and Certain Frechet Spaces
These notes are somewhat self-contained with only a background knowledge of basic probability being assumed. Chapter 1 presents many of the essential definitions and results from mathematical analysis and topology that are needed, and in chapter II the definition and properties of random elements are given. The remainder of the notes is concerned with the laws of large numbers for random elements and some applications.