Probability Bounds with Cherry Trees
Published Online:1 Feb 2001https://doi.org/10.1287/moor.26.1.174.10596
References
- Teoria statistica delle classi e calcolo delle probabilitá. Volume in onore di Riccardo Dalla Volta (1937) (Universitá di Firenze, Florence, Italy) 1–62Google Scholar
- Closed form two-sided bounds for probabilities that exactly r and at least r out of n events occur. Math. Oper. Res. (1989) 14:317–342Link, Google Scholar
- Of Propositions Numerically Definite (1868) (Transactions of the Cambridge Philosophical Society). Part II, XIGoogle Scholar
- Laws of Thought (1854) American reprint of 1854 editon(Dover, New York) Google Scholar
- Inequality for probabilities. Proc. Amer. Math. Soc. (1967) 18:504–507Crossref, Google Scholar
- Best possible inequalities for the probability of a logical function of events. The Amer. Math. Monthly (1965) 72:343–359Crossref, Google Scholar
- A Bonferroni-type identity and permutation bounds. Internat. Statist. Rev. (1990) 58(3):253–261Crossref, Google Scholar
- An upper bound for the probability of a union. J. Appl. Prob. (1976) 13:597–603Crossref, Google Scholar
- Best linear Bonferroni bounds. SIAM J. Appl. Math. (1976) 30(2):307–323Crossref, Google Scholar
- Bounds on the probability of a union and intersection of m events. Adv. Appl. Probab. (1975) 7:431–448Crossref, Google Scholar
- Stochastic Programming (1995) (Kluwer Academic Publishers, Dordrecht, The Netherlands) Crossref, Google Scholar
- Sharp bounds on probabilities using linear programming. Oper. Res. (1990) 38:227–239Link, Google Scholar
- Boole-Bonferroni inequalities and linear programming. Oper. Res. (1988) 36:145–162Link, Google Scholar
- Lower and upper bounds on probabilities of boolean functions of events. (2000) 99–97RUTCOR Research Report, Rutgers University, Piscataway, NJGoogle Scholar
- Multivariate normal probabilities with error bound. Appl. Statist. (1984) 33:81–87Crossref, Google Scholar
- Improved bounds and simulation procedures on the value of the multivariate normal probability distribution function. Proc. VII Aug. 8-16. Internat. Conf. Stochastic Programming (1998) Vancouver, CanadaGoogle Scholar
- An improved Bonferroni inequality and applications. Biometrika (1982) 69:297–302Crossref, Google Scholar

