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Journal of the American Statistical Association Volume 70, 1975 - Issue 350
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Theory and Method

Most Stringent Bounds on Aggregated Probabilities of Partially Specified Dependent Probability Systems

Seymour M. Kwerel Department of Statistics, Baruch College, City University of New York, New York City, N.Y., 10010, USA
Pages 472-479 | Received 01 Jan 1969, Published online: 06 Apr 2012

References

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  • Dawson , D. A. and Sankoff , D. 1967 . “An Inequality for Probabilities,” . Proceedings of the American Mathematical Society , 18 June : 504 – 7 .
  • Feller , W. 1957 . An Introduction to Probability Theory and Its Applications, , 2nd ed. , Vol. I , New York : John Wiley and Sons, Inc. .
  • Fréchet , M. 1940 . Les Probabilités Associées À Un Système D'Événéments Compatibles et Dépendants , Paris : Hermann et Cie. Premiere Partie .
  • Gallot , S. 1966 . “A Bound for the Maximum of a Number of Random Variables,” . Journal of Applied Probability , 3 December : 556 – 8 .
  • Hadley , G. 1962 . Linear Programming , Palo-Alto , Calif. : Addison-Wesley .
  • Kounias , E. G. 1968 . “Bounds for the Probability of a Union, with Applications,” . Annals of Mathematical Statistics , 39 December : 2154 – 8 .
  • Kwerel , S. M. 1968 . “Information Retrieval for Media Planning,” . Management Science , 15 December : 137 – 60 .

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