North-east bivariate records

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.