Journal of Statistical Theory and Applications

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Volume 18, Issue 2, June 2019, Pages 171 - 181

Recurrence Relations for Moments and Estimation of Parameters of Extended Exponential Distribution Based on Progressive Type-II Right-Censored Order Statistics

Authors
Devendra Kumar1, Mansoor Rashid Malik2, Sanku Dey3, Muhammad Qaiser Shahbaz4, *
1Department of Statistics, Central University of Haryana, Mahendergarh, India
2Department of Statistics, Amity University, Noida, India
3Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India
4Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia
*Corresponding author. Email: qshahbaz@gmail.com
Corresponding Author
Muhammad Qaiser Shahbaz
Received 19 July 2018, Accepted 13 April 2019, Available Online 30 May 2019.
DOI
10.2991/jsta.d.190514.003How to use a DOI?
Keywords
Progressive Type-II right-censored order statistics; Single moments; Product moments; Recurrence relations; Extended exponential distribution
Abstract

In this article we derive the recurrence relations for the single and product moments based on progressively Type-II right-censored order statistics for the extended exponential (EE) distribution. The estimation of the model parameters under progressively Type-II right-censored order statistics are obtained by maximum likelihood method. Furthermore, Monte Carlo simulation study has been carried out to compare the performances of the proposed method. Finally, a real data set has been analyed for illustrative purposes.

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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<Previous Article In Issue
Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 2
Pages
171 - 181
Publication Date
2019/05/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.190514.003How to use a DOI?
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/).

Cite this article

risenwbib
TY  - JOUR
AU  - Devendra Kumar
AU  - Mansoor Rashid Malik
AU  - Sanku Dey
AU  - Muhammad Qaiser Shahbaz
PY  - 2019
DA  - 2019/05/30
TI  - Recurrence Relations for Moments and Estimation of Parameters of Extended Exponential Distribution Based on Progressive Type-II Right-Censored Order Statistics
JO  - Journal of Statistical Theory and Applications
SP  - 171
EP  - 181
VL  - 18
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190514.003
DO  - 10.2991/jsta.d.190514.003
ID  - Kumar2019
ER  -