Bivariate records have many application in different fields such as hydrology, economy, finance and weather forecasting; see, for example, the works of Bayramoglu (Metrika 79:725–747, 2016) and Kemalbay and Bayramoglu (Turk J Math 43:1474–1491, 2019). It should be noted that there are various definitions of bivariate records. In this paper, we discuss the concept of north-east bivariate records, originally proposed by Arnold et al. (Records, Wiley, New York, 1998). Even though the concept was introduced more than two decades ago, no serious research has been made on it due to its complexity. In the present paper, we obtain distributional and limit results for the north-east bivariate records. We also discuss generation techniques for these bivariate records.

中文翻译：

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东北双变量记录

双变量记录在水文、经济、金融和天气预报等不同领域有很多应用；例如，参见 Bayramoglu (Metrika 79:725–747, 2016) 和 Kemalbay and Bayramoglu (Turk J Math 43:1474–1491, 2019) 的作品。应该注意的是，双变量记录有多种定义。在本文中，我们讨论了最初由 Arnold 等人提出的东北双变量记录的概念。（记录，威利，纽约，1998 年）。尽管这个概念是在二十多年前提出的，但由于其复杂性，尚未对其进行认真的研究。在本文中，我们获得了东北双变量记录的分布和极限结果。我们还讨论了这些双变量记录的生成技术。