Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On fluctuations of sums of random variables


Author: Louis J. Cote
Journal: Proc. Amer. Math. Soc. 6 (1955), 135-144
MSC: Primary 60.0X
DOI: https://doi.org/10.1090/S0002-9939-1955-0070872-4
MathSciNet review: 0070872
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] K. L. Chung, Fluctuation of sums of independent random variables, Ann. of Math. vol. 51 (1950) pp. 697-706. MR 0035410 (11:731d)
  • [2] K. L. Chung and P. Erdös, Probability limit theorems assuming only the first moment. I, Memoirs of the American Mathematical Society, no. 6, pp. 13-19.
  • [3] -, On the lower limit of sums of independent random variables, Ann. of Math. vol. 48 (1947) pp. 1003-1013. MR 0023010 (9:292f)
  • [4] K. L. Chung and W. H. J. Fuchs, On the distribution of values of sums of random variables, Memoirs of the American Mathematical Society, no. 6, pp. 1-9.
  • [5] H. Cramér, Random variables and probability distributions, Cambridge Tracts in Mathematics, no. 36, 1937.
  • [6] C. G. Esseen, Fourier analysis of distribution functions, Acta Math. vol. 77 (1945) pp. 5-145. MR 0014626 (7:312a)
  • [7] G. Pólya, Über den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentproblem, Math. Zeit. vol. 8 (1920) pp. 171-181. MR 1544437
  • [8] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, 1938. MR 0067125 (16:673c)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 60.0X

Retrieve articles in all journals with MSC: 60.0X


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1955-0070872-4
Article copyright: © Copyright 1955 American Mathematical Society

American Mathematical Society