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On the assumptions of a central limit theorem for approximate martingale arrays on a group

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1210)

Keywords

  • Central Limit Theorem
  • Dominate Convergence Theorem
  • Compact Abelian Group
  • Triangular Array
  • Complex Logarithm

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References

  • Bingham M. S. (1986). ‘A central limit theorem for approximate martingale arrays with values in a locally compact abelian group', to appear in Mathematische Zeitschrift.

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  • Hall P. and Heyde C.C. (1980). ‘Martingale Limit Theory and Its Application', Academic Press, New York.

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  • Heyer H. (1977). ‘Probability Measures on Locally Compact Groups', Springer Verlag, Heidelberg.

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  • Hewitt E. and Ross K. A. (1963, 1970). ‘Abstract Harmonic Analysis’ Volumes I and II, Springer Verlag, Heidelberg.

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  • Parthasarathy K. R. (1967). ‘Probability Measures on Metric Spaces', Academic Press, New York.

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  • Rudin W. (1962). ‘Fourier Analysis on Groups', Wiley (Interscience), New York.

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© 1986 Springer-Verlag

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Bingham, M.S. (1986). On the assumptions of a central limit theorem for approximate martingale arrays on a group. In: Heyer, H. (eds) Probability Measures on Groups VIII. Lecture Notes in Mathematics, vol 1210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077167

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  • DOI: https://doi.org/10.1007/BFb0077167

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16806-5

  • Online ISBN: 978-3-540-44852-5

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