Stochastic Convergence of Weighted Sums of Random Elements in Linear Spaces

Robert L. Taylor (auth.)9780387089294, 0-387-08929-2

Table of contents :
General introduction….Pages 1-5
Mathematical preliminaries….Pages 6-20
Random elements in linear spaces….Pages 21-43
Laws of large numbers, uncorrelation, and convergence of weighted sums of random variables….Pages 44-70
Laws of large numbers in normed linear spaces….Pages 71-107
Convergence of weighted sums in normed linear spaces….Pages 108-145
Randomly weighted sums….Pages 146-152
Laws of large numbers in D[0,1]….Pages 153-184
Possible applications….Pages 185-201