Journal of Statistical Theory and Applications

Volume 19, Issue 3, September 2020, Pages 352 - 367

Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application

Authors
Devendra Kumar1, *, ORCID, Maneesh Kumar1, Sanku Dey2
1Department of Statistics, Central University of Haryana, Jant, Haryana, India
2Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India
*Corresponding author. Email: devendrastats@gmail.com
Corresponding Author
Devendra Kumar
Received 11 May 2020, Accepted 12 August 2020, Available Online 11 September 2020.
DOI
10.2991/jsta.d.200825.002How to use a DOI?
Keywords
Type-II exponentiated log-logistic distribution; Moments; Order statistics; Best linear unbiased estimators
Abstract

In this paper, we first derive the exact explicit expressions for the single and product moments of order statistics from the type-II exponentiated log-logistic distribution, and then use these results to compute the means, variances, skewness and kurtosis of rth order statistics. Besides, best linear unbiased estimators (BLUEs) for the location and scale parameters for the type-II exponentiated log-logistic distribution with known shape parameters are studied. Finally, the results are illustrated with a real data set.

Copyright
© 2020 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/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 3
Pages
352 - 367
Publication Date
2020/09/11
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200825.002How to use a DOI?
Copyright
© 2020 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/).

Cite this article

TY  - JOUR
AU  - Devendra Kumar
AU  - Maneesh Kumar
AU  - Sanku Dey
PY  - 2020
DA  - 2020/09/11
TI  - Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application
JO  - Journal of Statistical Theory and Applications
SP  - 352
EP  - 367
VL  - 19
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200825.002
DO  - 10.2991/jsta.d.200825.002
ID  - Kumar2020
ER  -