Open AccessTransmutation of the two parameters Rayleigh distribution
Author(s) -
Ehsan Ullah,
Mirza Naveed Shahzad
Publication year - 2016
Publication title -
international journal of advanced statistics and probability
Language(s) - English
Resource type - Journals
ISSN - 2307-9045
DOI - 10.14419/ijasp.v4i2.6100
Subject(s) - rayleigh distribution , mathematics , statistics , moment (physics) , distribution (mathematics) , rayleigh scattering , quantile function , quantile , statistical physics , probability density function , moment generating function , mathematical analysis , physics , classical mechanics , optics
In this study, transmuted two parameters Rayleigh distribution is proposed using quadratic rank transmutation map. This proposed distribution is more flexible and versatile than two parameters Rayleigh distribution. Some properties of the proposed distribution are derived such as moments, moment generating function, mean, variance, median, quantile function, reliability, and hazard function. The parameter estimation is approached through the method of least square estimation. The th and joint order statistics are also derived for the proposed distribution. The application of proposed model illustrated and compared using real data.