aiXi and γ(a)Y are identically distributed, where γ : R → [0,∞) is called the standard of X. An old problem is to characterize those functions γ that can appear as the standard of an n-dimensional version. In this paper, we prove the conjecture of Lisitsky that every standard must be the norm of a space that embeds in L0. This result is almost optimal, as the norm of any finite dimensional subs...

the objective of this study was to assess the level of knowledge of the turkish farmers with regard to fertilizer usage. farmers in the kazova district of turkey's tokat province were interviewed regarding their soil maintenance practices. the interview was based on a standardized questionnaire the answers being recorded at the time of interview. simple random sampling method was used to de...

When addressing various financial problems, such as estimating stock portfolio risk, it is necessary to derive the distribution of sum dependent random variables. Although deriving this requires identifying joint these variables, exact estimation variables difficult. Therefore, in recent years, studies have been conducted on bound with dependence uncertainty. In stu...