标题： 具有漂移的两个参数时间变换泊松随机场 显示英文标题

标题： On Two Parameter Time-Changed Poisson Random Fields with Drifts

摘要： 我们研究二元Lévy过程与二元逆子过程的复合。 获得了其散布矩阵和自相关矩阵的显式表达式。 此外，还研究了具有矩形增量的时间变换二参数Lévy过程。 我们引入了平面中带有和不带有漂移的泊松随机场的一些时间变换变体，并推导了它们分布的相关分数微分方程。 后来，我们考虑了一些时间变换的Lévy过程，其中时间变换成分是带有漂移的二参数泊松随机场。 此外，讨论了与一些引入过程相关的二参数坐标半群算子。 显示英文摘要

摘要： We study the composition of bivariate L\'evy process with bivariate inverse subordinator. The explicit expressions for its dispersion and auto correlation matrices are obtained. Also, the time-changed two parameter L\'evy processes with rectangular increments are studied. We introduce some time-changed variants of the Poisson random field in plane with and without drift, and derive the associated fractional differential equations for their distributions. Later, we consider some time-changed L\'evy processes where the time-changing components are two parameter Poisson random fields with drifts. Moreover, two parameter coordinatewise semigroup operators associated with some of the introduced processes are discussed.