Extensions of the Hájek–Rényi inequality to moments of higher order
1972 ◽
Vol 72
(1)
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pp. 67-75
1. Introduction. Bernoulli trials. Consider a sequence of Bernoulli trials. Let p, assumed to satisfy 0<p < 1, be the probability of success at any given trial and let q = 1–p. If Nn is the number of successes in the first n trials, it is well known that Nn/n→p almost surely as n→∞ so that for every ∈> 0,as n→∞, and it is clearly of great interest to know quantitatively how this probability depends upon n and ∈.
1993 ◽
Vol 51
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pp. 450-451
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1975 ◽
Vol 4
(10)
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pp. 941-953
1962 ◽
Vol 14
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pp. 565-567
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2000 ◽
Vol 130
(3)
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pp. 449-469
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1971 ◽
Vol 70
(2)
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pp. 257-262
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1948 ◽
Vol 8
(2)
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pp. 89-94
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2013 ◽
Vol 155
(2)
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pp. 375-377
1964 ◽
Vol 60
(3)
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pp. 409-420
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