Characterizations of Topp–Leone Lomax Distribution based on the Generalized Lower Record Values

Authors

Mahfooz Alam, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh-202002, India\\ Department of Mathematics and Statistics, Faculty of Science and Technology, Vishwakarma University, Pune (Maharashtra)-411048, IndiaFollow
Nazia Wahid, Department of Mathematics and Statistics, Faculty of Science and Technology, Vishwakarma University, Pune (Maharashtra)-411048, IndiaFollow
Mohammad Azam Khan, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh-202002, IndiaFollow
Rafiqullah Khan, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh-202002, IndiaFollow

Abstract

In this paper, we derive the exact expressions as well as recurrence relations for single and product moment of generalized lower record values from Topp–Leone Lomax distribution. Further, we characterize the given distribution through conditional expectation, recurrence relations and truncated moment.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110327

Recommended Citation

Alam, Mahfooz; Wahid, Nazia; Azam Khan, Mohammad; and Khan, Rafiqullah (2022) "Characterizations of Topp–Leone Lomax Distribution based on the Generalized Lower Record Values," Journal of Statistics Applications & Probability: Vol. 11: Iss. 3, Article 27.
DOI: http://dx.doi.org/10.18576/jsap/110327
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss3/27