Order statistics and record values moments from the Topp-Leone Lomax distribution with applications to entropy

Abstract In this paper, we derive exact expressions, as well as recurrence relations, for single and product moments of order statistics (OSs) and record values of the Topp-Leone Lomax (TLLo) distribution proposed by Oguntunde et al. [29] (Wireless Personal Comm., 109, 349-360, 2019). Moreover, we study the L-moments of this distribution. Also, we estimate the parameters of the TLLo distribution through the L-moments and compare to other models. We fit flood level data to the TLLo distribution because Okorie and Nadarajah [30] (Wireless Personal Comm., 115, 589-596, 2020) have shown that the TLLo distribution may be used to model datasets other than airborne communication transceiver data used by Oguntunde et al. [29]. Finally, we reveal a relationship between the entropy and the upper and lower record values, as well as OSs .