Estimate for Survival and Related Functions of Weighted Rayleigh Distribution.

Main Article Content

Saad A. Zain Iden Hassan Hussein

Abstract

     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.

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How to Cite
A. ZAIN, Saad; HASSAN HUSSEIN, Iden. Estimate for Survival and Related Functions of Weighted Rayleigh Distribution.. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 34, n. 1, jan. 2021. ISSN 2521-3407. Available at: <https://jih.uobaghdad.edu.iq/index.php/j/article/view/2558>. Date accessed: 21 apr. 2021.
Section
mathematics