A theorem on the cumulative product of independent random variables
1959 ◽
Vol 55
(4)
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pp. 333-337
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Keyword(s):
1. Introductory discussion and summary. Consider a sequence {ui} of independent real or complex-valued random variables such that E(ui) = 1, and a sequence of mutually exclusive events S1, S2,…, such that Si depends only on u1, u2, …,ui, with ΣP(Sj) = 1. Define the random variable n = n(u1, u2,…) = m when Sm occurs. We shall obtain the necessary and sufficient conditions under whichreferred to as the product theorem.
1977 ◽
Vol 82
(3)
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pp. 439-446
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2011 ◽
Vol 2011
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pp. 1-16
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1964 ◽
Vol 4
(2)
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pp. 223-228
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2018 ◽
Vol 52
(2)
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pp. 02LT04
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1980 ◽
Vol 30
(1)
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pp. 5-14
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1970 ◽
Vol 11
(1)
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pp. 91-94
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1968 ◽
Vol 64
(2)
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pp. 485-488
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1981 ◽
Vol 91
(1-2)
◽
pp. 135-145
1966 ◽
Vol 62
(4)
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pp. 649-666
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