Some Characterization and Relations Based on K-th Lower Record Values
Ali A. Al-Shomrani*
Identifiers and Pagination:Year: 2016
First Page: 36
Last Page: 44
Publisher Id: TOSPJ-7-36
Article History:Received Date: 9/05/2016
Revision Received Date: 24/07/2016
Acceptance Date: 26/08/2016
Electronic publication date: 10/10/2016
Collection year: 2016
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.
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.