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 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/).
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 -