Journal of Statistical Theory and Applications

Volume 15, Issue 3, September 2016, Pages 296 - 312

Three parameter Transmuted Rayleigh distribution with application to Reliability data

Authors
Muhammad Shuaib Khan, Robert King, Irene Lena Hudson
Corresponding Author
Muhammad Shuaib Khan
Received 12 September 2015, Accepted 3 March 2016, Available Online 1 September 2016.
DOI
10.2991/jsta.2016.15.3.9How to use a DOI?
Keywords
2P-Rayleigh distribution; weighted Rayleigh distribution; moment estimation; order statistics; maximum likelihood estimation.
Abstract

This research introduces the three parameter transmuted Rayleigh distribution with an application to fatigue fracture data. Using the quadratic rank transmutation map method proposed by Shaw et al. [25] we develop the three parameter transmuted Rayleigh distribution. This research also introduces the new class of weighted Rayleigh distribution by using Azzalini [2] method. Some structural properties of the new distribution are derived such as moments, incomplete moments, probability weighted moments, moment generating function, entropies, mean deviation and the kth moment of order statistics. The parameters of the proposed model are estimated using the maximum likelihood estimation and obtain the observed information matrix. The potentiality of the proposed model is illustrated using fatigue fracture data.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
15 - 3
Pages
296 - 312
Publication Date
2016/09/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2016.15.3.9How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Muhammad Shuaib Khan
AU  - Robert King
AU  - Irene Lena Hudson
PY  - 2016
DA  - 2016/09/01
TI  - Three parameter Transmuted Rayleigh distribution with application to Reliability data
JO  - Journal of Statistical Theory and Applications
SP  - 296
EP  - 312
VL  - 15
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2016.15.3.9
DO  - 10.2991/jsta.2016.15.3.9
ID  - Khan2016
ER  -