RESEARCH ARTICLE


Some Characterization and Relations Based on K-th Lower Record Values



Ali A. Al-Shomrani*
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia


Article Metrics

CrossRef Citations:
0
Total Statistics:

Full-Text HTML Views: 921
Abstract HTML Views: 918
PDF Downloads: 329
ePub Downloads: 180
Total Views/Downloads: 2348
Unique Statistics:

Full-Text HTML Views: 511
Abstract HTML Views: 531
PDF Downloads: 222
ePub Downloads: 138
Total Views/Downloads: 1402



© Ali A.Al-Shomrani; Licensee Bentham Open

open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution-Non-Commercial 4.0 International Public License (CC BY-NC 4.0) (https://creativecommons.org/licenses/by-nc/4.0/legalcode), which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.

Correspondence: Address correspondence to this author at the Department of Statistics, Faculty of Science, King Abdulaziz University, PO Box 80203, Jeddah 21589, Saudi Arabia; Tel: +966504379305; E-mail: email2aaalshomrani@yahoo.com


Abstract

In this paper, we obtain certain expressions and recurrence relations for two general classes of distributions based on some conditional expectations of k-th lower record values. We consider the necessary and sufficient conditions such that these conditional expectations hold for some distribution functions. Furthermore, an expression of conditional expectation of other general class of distributions through truncated moments of some random variable is considered. Some distributions as examples of these general classes are shown in Tables 1 and 2 accordingly.

Keywords: Characterization, Conditional expectation, Order statistics, Records values.