Journal of Statistical Theory and Applications

Volume 17, Issue 2, June 2018, Pages 261 - 270

On Inference about Tilt Parameter in Marshall-Olkin Family of Distributions

Authors
Mostafa Tamanditamandi@vru.ac.ir
Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Received 14 December 2016, Accepted 15 September 2017, Available Online 30 June 2018.
DOI
https://doi.org/10.2991/jsta.2018.17.2.6How to use a DOI?
Keywords
Tilt parameter; Marshall-Olkin distribution; Maximum likelihood estimation; Maximum spacing estimation; Least-squares estimation; coverage probability; score test; Insulating fluid data
Abstract

Marshall and Olkin [Biometrika199784641652] introduced a method for constructing a new distribution by adding a new parameter, called tilt parameter, to a parent distribution. It is observed that adding this parameter leads to a more flexible model than the parent model. In this paper, different estimators for tilt parameter as a major parameter are presented. Their performances are compared using Monte Carlo simulations. Hypothesis testing and interval estimation of tilt parameter using Rao score test is discussed.

Copyright
Copyright © 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
17 - 2
Pages
261 - 270
Publication Date
2018/06/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2018.17.2.6How to use a DOI?
Copyright
Copyright © 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Mostafa Tamandi
PY  - 2018
DA  - 2018/06/30
TI  - On Inference about Tilt Parameter in Marshall-Olkin Family of Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 261
EP  - 270
VL  - 17
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.2.6
DO  - https://doi.org/10.2991/jsta.2018.17.2.6
ID  - Tamandi2018
ER  -