An inequality for characteristic functions
1972 ◽
Vol 6
(1)
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pp. 1-9
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Keyword(s):
The Real
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The paper is concerned with an extension of the inequality 1 - u(2nt) ≤ 4n[1-u(t)] for u(t) the real part of a characteristic function. The main result is that the inequality in fact holds for all positive integer n and not only powers of 2. Certain consequences are deduced and a brief discussion is given of the circumstances under which equality holds.
1979 ◽
Vol 28
(4)
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pp. 499-509
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Keyword(s):
1954 ◽
Vol 6
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pp. 186-189
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