Open AccessEstimate for Survival and Related Functions of Weighted Rayleigh Distribution.
Author(s) -
Saad A. Zain,
Iden Hassan Hussein
Publication year - 2021
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/34.1.2558
Subject(s) - rayleigh distribution , mathematics , estimator , statistics , moment (physics) , cumulative distribution function , moment generating function , probability density function , distribution (mathematics) , rayleigh scattering , method of moments (probability theory) , function (biology) , mathematical analysis , physics , classical mechanics , evolutionary biology , optics , biology
In this paper, we introduce a new class of Weighted Rayleigh Distribution based on two parameters, one is the scale parameter and the other is the shape parameter introduced in Rayleigh distribution. The main properties of this class are derived and investigated . The moment method and least square method are used to obtain estimators of parameters of this distribution. The probability density function, survival function, cumulative distribution and hazard function are derived and found. Real data sets are collected to investigate two methods that depend on in this study. A comparison is made between two methods of estimation and clarifies that MLE method is better than the OLS method by using the mean squares error.