Three parameter Transmuted Rayleigh distribution with application to Reliability data

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 k^th 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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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  -