On the rate of convergence of the range of cumulative sums

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C. C. Heyde, “Some renewal theorems with application to a first passage problem,”Ann. Math. Statist., 37 (1966), 699–710.
Article MathSciNet MATH Google Scholar
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.
Article MathSciNet MATH Google Scholar
W. Feller, “The asymptotic distribution of the range of sums of random variables,”Ann. Math. Statist., 22 (1951), 427–432.
Article MathSciNet MATH Google Scholar
M. Loève,Probability Theory, 3rd edition, Van Nostrand, New York, 1963.
MATH Google Scholar
P. A. P. Moran, “On the range of cumulative sums,”Ann. Inst. Statist. Math., 16 (1964), 109–112.
Article MathSciNet Google Scholar
V. K. Rohatgi, “Convergence rates in the law of large numbers II,”Proc. Camb. Phil. Soc., 64 (1968), 485–488.
MathSciNet MATH Google Scholar

Authors

V. K. Rohatgi
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Research supported by the ONR under contract No. Nonr 2587(05).

Rohatgi, V.K. On the rate of convergence of the range of cumulative sums. Ann Inst Stat Math 20, 501–503 (1968). https://doi.org/10.1007/BF02911662

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