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The American Statistician Volume 31, 1977 - Issue 2
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The Teacher's Corner

Monotonicity of a Power Function: An Elementary Probabilistic Proof

David Gilat University of Minnesota, Minneapolis, MN 55455 on leave from Tel-Aviv University, Israel
Pages 91-93 | Received 13 Jan 1976, Published online: 12 Mar 2012

References

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  • Ferguson , T. S. 1967 . Mathematical Statistics , New York : Academic Press .
  • Lehmann , E. L. 1959 . Testing Statistical Hypotheses , New York : John Wiley & Sons .
  • Dubins , L. E. and Meilijson , I. 1974 . “On Stability for Optimization Problems,” . Annals of Probability , 2 : 243 – 55 .
  • Feller , W. 1971 . An Introduction to Probability Theory and Its Applications, , 2nd ed. , Vol. 2 , New York : John Wiley & Sons .
  • Fréchet , M. 1951 . “Sur les Tableaux de Corrélation Dont les Marges Sont Données,” . Ann. Univ. de Lyon , 14 : 53 – 77 .
  • Hoeffding , W. 1940 . “Masstabinvariante Korrelationstheorie,” . Schriften Math. Inst. Univ. Berlin , 5 : 181 – 233 .
  • Schaffer , M. 1976 . “Note on the k-Dimensional Jensen Inequality,” . Annals of Probability , 4 : 502 – 4 .
  • Tchen , A. H. June 1976 . “Inequalities for Distributions with Given Marginals,” , June , Department of Statistics, Stanford University . Technical Report No. 19

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