Volume 18, Issue 4, December 2019, Pages 402 - 415
Relations for Moments of Dual Generalized Order Statistics from Exponentiated Rayleigh Distribution and Associated Inference
Authors
M. A. R. Khan, R. U. Khan*, B. Singh
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh-202 002, India
*Corresponding author. Email: aruke@rediffmail.com
Corresponding Author
R. U. Khan
Received 21 January 2018, Accepted 25 September 2019, Available Online 14 November 2019.
- DOI
- 10.2991/jsta.d.191104.001How to use a DOI?
- Keywords
- Dual generalized order statistics; Order statistics; Lower records; Single moments; Product moments; Recurrence relations; Exponentiated Rayleigh distribution and characterization
- Abstract
In this paper we obtain exact expressions and some recurrence relations satisfied by single and product moments of dual generalized order statistics from exponentiated Rayleigh distribution. These relations are deduced for moments of order statistics and lower record values. Further, conditional expectation, recurrence relations for single moments and truncated moment are used to characterize this distribution.
- Copyright
- © 2019 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - M. A. R. Khan AU - R. U. Khan AU - B. Singh PY - 2019 DA - 2019/11/14 TI - Relations for Moments of Dual Generalized Order Statistics from Exponentiated Rayleigh Distribution and Associated Inference JO - Journal of Statistical Theory and Applications SP - 402 EP - 415 VL - 18 IS - 4 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.191104.001 DO - 10.2991/jsta.d.191104.001 ID - Khan2019 ER -