标题： 完全正性和顺序统计量的依赖性 显示英文标题

标题： Total positivity and dependence of order statistics

摘要： 在这项综合性研究中，我们深入探讨了多元全正性的概念，并根据方向对其进行了定义。 我们严格研究了多个显著性质，揭示了这一概念的独特之处。 此外，我们的研究还扩展到建立来自分布函数样本的顺序统计量之间的不同依赖形式。 我们的分析旨在为理解多元全正性内部的相互关系及其对统计分析和概率论的影响提供细致的洞察。 显示英文摘要

摘要： In this comprehensive study, we delve deeply into the concept of multivariate total positivity, defining it in accordance with a direction. We rigorously explore numerous salient properties, shedding light on the nuances that characterize this notion. Furthermore, our research extends to establishing distinct forms of dependence among the order statistics of a sample from a distribution function. Our analysis aims to provide a nuanced understanding of the interrelationships within multivariate total positivity and its implications for statistical analysis and probability theory.