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Bounds for the expected value of information

✍ Scribed by V. Firchau


Publisher
Springer
Year
1980
Tongue
German
Weight
584 KB
Volume
2
Category
Article
ISSN
0171-6468

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Asymmetric sharp bounds are obtained for the expected values of order statistics using Moriguti's idea of the greatest convex minorant. It rectifies some results in the literature.

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## Abstract A generalization of a method to calculate lower bounds to expectation values of non‐negative observables is presented. We consider bounds to three electronic expectation values γ€ˆ__r__^2^〉, γ€ˆ__r__〉, and γ€ˆ__r__^βˆ’1^〉 in the helium atom as an example. For both γ€ˆ__r__^2^〉 and γ€ˆ__r__〉, we are