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The role of graph theory in some sieve arguments of probability theory

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Part of the Lecture Notes in Mathematics book series (LNM,volume 303)

Keywords

  • Probability Theory
  • Stochastic Model
  • Bank Account
  • Exact Formula
  • Arbitrary Graph

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References

  1. J. Galambos, On the sieve methods in probability theory I, Studia Sci. Math. Hungar. 1 (1966), 39–50.

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  2. _____, On the sieve methods in probability theory II, Ghana J. Sci. 10 (1970), 11–15.

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  3. _____, On the distribution of the maximum of random variables, Ann. Math. Statist. 43 (1972), 516–521.

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  4. _____, The distribution of the maximum of a random number of random variables with applications, J. Appl. Prob. 10 (1973), (to appear in the March issue).

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  5. M. Loeve, Sur les systemes d'evenements, Ann. Univ. Lyon, Sect. A. 5 (1942), 55–74.

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  6. A. Rényi, A general method to prove theorems of probability theory and some of its applications (in Hungarian), Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 11 (1961), 79–105.

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  7. L. Takács, On the method of inclusion and exclusion, J. Amer. Statist. Assoc. 62 (1967), 102–113.

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© 1972 Springer-Verlag

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Galambos, J. (1972). The role of graph theory in some sieve arguments of probability theory. In: Alavi, Y., Lick, D.R., White, A.T. (eds) Graph Theory and Applications. Lecture Notes in Mathematics, vol 303. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067360

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  • DOI: https://doi.org/10.1007/BFb0067360

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06096-3

  • Online ISBN: 978-3-540-38114-3

  • eBook Packages: Springer Book Archive