Order Statistics and Record Values Moments from the Topp-Leone Lomax Distribution with Applications to Entropy

In this paper, we derive the exact expressions, as well as recurrence relations, for the single and product moments of the order statistics (OSs) and record values of the Topp-Leone Lomax (TLLo) distribution proposed by Oguntunde et al. (Wirel Person Commun 109:349–360, 2019). In addition, we study the corresponding L-moments. We estimate the distribution parameters through these L-moments and compare our results to those obtained in other models. Subsequently, motivated by the study of Okorie and Nadarajah (Wirel Person Commun 115:589–596, 2020), we fit the flood level data to the TLLo distribution. Finally, we reveal a relationship between the entropy and the upper and lower record values, as well as OSs.