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Moments of probability measures on a group

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  • Herbert Heyer

Abstract

New developments and results in the theory of expectatiors and variances for random variables with range in a topological group are presented in the following order (i) Introduction (2) Basic notions (3) The three series theorem in Banach spaces (4) Moment Conditions (5) Expectations and variances (6) A general three series theorem (7) The special cases of finite groups and Lie groups (8)The strong laws of large numbers on a Lie group (9) Further studies on moments of probability measures.

Suggested Citation

  • Herbert Heyer, 1981. "Moments of probability measures on a group," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 4, pages 1-37, January.
    • Handle: RePEc:hin:jijmms:872640
    DOI: 10.1155/S016117128100001X
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