RESEARCH ARTICLE
Some Characterization and Relations Based on K-th Lower Record Values
Ali A. Al-Shomrani*
Article Information
Identifiers and Pagination:
Year: 2016Volume: 7
First Page: 36
Last Page: 44
Publisher Id: TOSPJ-7-36
DOI: 10.2174/1876527001607010036
Article History:
Received Date: 9/05/2016Revision Received Date: 24/07/2016
Acceptance Date: 26/08/2016
Electronic publication date: 10/10/2016
Collection year: 2016
© 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.
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.
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.
