21. This violates the sub-additivity property showing that VaR is not a coherent risk measure. 22. You can read an article in Wikipedia " Linearity " which explains additivity of linear processes. 23. CEEI implies EF regardless of additivity . 24. The assumption of unit treatment additivity usually cannot be directly falsified, according to Cox and Kempthorne. 25. However the closest generalization to mass is sigma additivity , which gives rise to the Lebesgue measure. 26. This is a purely quantum effect and represents the non-additivity of the probabilities of quantum alternatives. 27. Therefore, by contraposition, a necessary condition for unit treatment additivity is that the variance is constant. 28. Heats of formations are intimately related to group additivity methods aside from computational methods such as molecular mechanics. 29. Therefore, by contraposition, a necessary condition for unit-treatment additivity is that the variance is constant. 30. For a randomized experiment, the assumption of treatment additivity implies that the variance is constant for all treatments.
