TIGHT BOUNDS ON EXPECTED ORDER STATISTICS
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Publication:3422741
DOI10.1017/S0269964806060414zbMath1110.62063MaRDI QIDQ3422741
Chung-Piaw Teo, Karthik Natarajan, Dimitris J. Bertsimas
Publication date: 13 February 2007
Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)
Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)
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Cites Work
- The Pricing of Options and Corporate Liabilities
- On sharpness of Tchebycheff-type inequalities
- Convex majorization with an application to the length of critical paths
- On the Relation Between Option and Stock Prices: A Convex Optimization Approach
- Upper (lower) bounds on the mean of the maximum (minimum) of a number of random variables
- Maximally dependent random variables
- Probabilistic Combinatorial Optimization: Moments, Semidefinite Programming, and Asymptotic Bounds
- Extremal Properties of Extreme Value Distributions
- The Maxima of the Mean Largest Value and of the Range
- Universal Bounds for Mean Range and Extreme Observation
