- Title
- Three parameter transmuted Rayleigh distribution with application to reliability data
- Creator
- Khan, Muhammad Shuaib; King, Robert; Hudson, Irene Lena
- Relation
- Journal of Statistical Theory and Applications Vol. 15, Issue 3, p. 296-312
- Publisher Link
- http://dx.doi.org/10.2991/jsta.2016.15.3.9
- Publisher
- Gowas Publishers
- Resource Type
- journal article
- Date
- 2016
- Description
- 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.
- Subject
- 2P-Rayleigh distribution; weighted Rayleigh distribution; moment estimation; order statistics; maximum likelihood estimation
- Identifier
- http://hdl.handle.net/1959.13/1335652
- Identifier
- uon:27470
- Identifier
- ISSN:1538-7887
- Rights
- © Atlantis Press. This article is distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
- Language
- eng
- Full Text
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