Prophet Inequalities for Averages of Independent Non-Negative Random Variables.
Theodore P. Hill (1986)
Mathematische Zeitschrift
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Theodore P. Hill (1986)
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S.K. Zaremba, Z.A. Lomnicki (1956/57)
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Yuri Kifer (1996)
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A. Zygmund, K. WIENER, R.E.A.C. Paley (1933)
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Yeh, Cheh-Chih, Yeh, Hung-Wen, Chan, Wenyaw (2008)
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László Leindler (1972)
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Egozcue, Martín, García, Luis Fuentes, Wong, Wing-Keung, Zitikis, Ričardas (2010)
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Walter Philipp, William Stout (1986)
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W. Dziubdziela (1976)
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Sung, Soo Hak (2009)
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Paweł Wolff (2007)
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The optimal hypercontractivity constant for a natural operator semigroup acting on a discrete finite probability space is established up to a universal factor. The two-point spaces are proved to be the extremal case. The constants obtained are also optimal in the related moment inequalities for sums of independent random variables.
Sung, Soo Hak (2010)
Journal of Inequalities and Applications [electronic only]
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A. S. Besicovitch (1936)
Mathematische Zeitschrift
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