Volume 20, Issue 2, June 2021, Pages 251 - 266
Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference
Authors
Bushra Khatoon, M. J. S. Khan*, Zubdahe Noor
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, 202 002, India
*Corresponding author. Email: jahangirskhan@gmail.com
Corresponding Author
M. J. S. Khan
Received 12 March 2020, Accepted 24 November 2020, Available Online 3 March 2021.
- DOI
- 10.2991/jsta.d.210219.001How to use a DOI?
- Keywords
- Moments; Dual generalized order statistics; Maximum likelihood estimation; Uniformly minimum variance unbiased estimation
- Abstract
In this paper, the exact and explicit expressions for single, product, and conditional moments for inverted Kumaraswamy distribution using dual generalized order statistics (dgos) are derived. Further, the expression for maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator (UMVUE) for the parameters of inverted Kumaraswamy distribution based on dgos are deduced. Also, we obtained the results for order statistics and lower record values by putting some specific values of the parameters of dgos. Finally, a simulation study is carried out for illustrative purpose.
- Copyright
- © 2021 The Authors. Published by Atlantis Press B.V.
- 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/).
Download article (PDF)
View full text (HTML)
Cite this article
TY - JOUR AU - Bushra Khatoon AU - M. J. S. Khan AU - Zubdahe Noor PY - 2021 DA - 2021/03/03 TI - Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference JO - Journal of Statistical Theory and Applications SP - 251 EP - 266 VL - 20 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.210219.001 DO - 10.2991/jsta.d.210219.001 ID - Khatoon2021 ER -