The purpose of this note is two-fold. First we derive a simple condition under which two s-convex ordered random variables must be stochastically equal, and we indicate the potential usefulness of this result in statistics. Then we highlight the relationship between the canonical moments and the ext
On the use of the multivariate stochastic order in risk theory
✍ Scribed by Jean-François Walhin
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- German
- Weight
- 596 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1864-0281
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## Abstract A method for the determination of the symmetry of first‐order vectors in Hartree–Fock perturbation theory is developed. This leads to the definition of symmetry‐adapted basis vectors to be employed at first order in the perturbation. It is shown that computer time can be saved, to some
## Abstract A method is described whereby molecular symmetry is employed to reduce the number of two‐electron integrals in perturbed Hartree–Fock calculations of second‐order properties. The method is a generalization of the Dacre–Elder procedure. First‐ and second‐rank perturbing tensor operators