Journal of Statistical Theory and Applications

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Volume 19, Issue 1, March 2020, Pages 109 - 117

Sample Design and Estimation of Parameters of Half Logistic Distribution Using Generalized Ranked-Set Sampling

Authors
A. Adatia1, *, A.K.MD. Ehsanes Saleh2
1Department of Computer Science and Mathematics, University of Lethbridge, Lethbridge, Alberta, Canada
2Professor Emeritus and Distinguished Research Professor, School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada
*Corresponding author. Email: aminmohamed.adatia@uleth.ca
Corresponding Author
A. Adatia
Received 1 September 2017, Accepted 27 May 2019, Available Online 10 March 2020.
DOI
10.2991/jsta.d.200303.001How to use a DOI?
Keywords
Half logistic distribution; Order statistics; Linear estimation; Generalized ranked-set sampling; Sampling efficiency
Abstract

The ranked-set sampling technique has been generalized so that a more efficient estimator may be obtained. This technique allows more than one unit from each set to be quantified. Consequently, the number of units to be sampled may be reduced significantly and as a result, the corresponding cost would also be reduced. The generalized ranked-set sampling technique is applied in the estimation of parameters of the half logistic distribution. New estimators are proposed which include linear minimum variance unbiased estimators and ranked-set sample estimators. The coefficients, variances and relative efficiencies are tabulated. The estimators are compared to the best linear unbiased estimator of the parameters. Sample design strategy is also considered.

Copyright
© 2020 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
19 - 1
Pages
109 - 117
Publication Date
2020/03/10
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200303.001How to use a DOI?
Copyright
© 2020 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  - A. Adatia
AU  - A.K.MD. Ehsanes Saleh
PY  - 2020
DA  - 2020/03/10
TI  - Sample Design and Estimation of Parameters of Half Logistic Distribution Using Generalized Ranked-Set Sampling
JO  - Journal of Statistical Theory and Applications
SP  - 109
EP  - 117
VL  - 19
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200303.001
DO  - 10.2991/jsta.d.200303.001
ID  - Adatia2020
ER  -