In this treatise, we define statistically pre-Cauchy sequences of complex uncertain variable for five cases of uncertainty viz., in mean, in measure, in distribution, in almost surely and in uniformly almost surely and we confine our study to statistically pre-Cauchy sequence in mean, in measure and in distribution only. Furthermore, we establish the relationship between statistically pre-Cauchy and statistically convergent sequence by using complex uncertain variables. Finally, we initiate the study of statistically pre-Cauchy sequences of complex uncertain variables via Orlicz functions also.

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关于由 Orlicz 函数定义的复杂不确定变量的统计前柯西序列

在这篇论文中，我们为五种不确定情况定义了复杂不确定变量的统计前柯西序列，即均值、测量、分布、几乎肯定和一致几乎肯定，我们将研究限制在统计前柯西仅在均值、度量和分布中排序。此外，我们通过使用复杂的不确定变量建立了统计前柯西和统计收敛序列之间的关系。最后，我们还通过 Orlicz 函数开始了对复杂不确定变量的统计前柯西序列的研究。