The main objective of this work is to calculate the multivariate double truncated expectation (MDTE) and covariance (MDTCov) for elliptical distributions. We also consider double truncated expectation (DTE) and variance (DTV) for univariate elliptical distributions. The exact expressions of MDTE and MDTCov are derived for some special cases of the family, such as normal, student-$t$, logistic, Laplace and Pearson type VII distributions. As numerical illustration, the DTE, DTV, MDTE and MDTCov for normal distribution are computed in details. Finally, we discuss MDTE and MDTCov of three industry segments' (Banks, Insurance, Financial and Credit Service) stock return in London stock exchange.

翻译：这项工作的主要目的是计算椭圆分布的多种变式双减预期(MDTE)和共减预期(MDTCov)和共减预期(MDTCov),我们还考虑对单子椭圆分布的双减预期(DTE)和差异(DTV),MDTE和MDTCov的准确表达方式来自家庭的某些特殊情况,如正常、学生-美元、后勤、Laplace和Pearson七型分布,如数字图示、正常分布的DTE、DTV、MDTE和MDTCov。最后,我们讨论三个行业部分(银行、保险、金融和信贷服务)在伦敦证券交易所的MDTE和MDTCov的股票回报。