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On the rate of convergence of the range of cumulative sums

  • V. K. Rohatgi
Article
  • 33 Downloads

Keywords

Probability Theory Convergence Rate Asymptotic Distribution Independent Random Variable Considerable Research 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    C. C. Heyde and V. K. Rohatgi, “A pair of complementary theorems on convergence rates in the law of large numbers,”Proc. Camb. Phil. Soc., 63 (1967), 73–82.MathSciNetMATHCrossRefGoogle Scholar
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    W. Feller, “The asymptotic distribution of the range of sums of random variables,”Ann. Math. Statist., 22 (1951), 427–432.CrossRefMathSciNetMATHGoogle Scholar
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    M. Loève,Probability Theory, 3rd edition, Van Nostrand, New York, 1963.MATHGoogle Scholar
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    P. A. P. Moran, “On the range of cumulative sums,”Ann. Inst. Statist. Math., 16 (1964), 109–112.CrossRefMathSciNetGoogle Scholar
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    V. K. Rohatgi, “Convergence rates in the law of large numbers II,”Proc. Camb. Phil. Soc., 64 (1968), 485–488.MathSciNetMATHGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics 1968

Authors and Affiliations

  • V. K. Rohatgi
    • 1
  1. 1.The Catholic University of AmericaWashington, D.C.

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