Caner TANIŞ, Buğra SARAÇOĞLU

10781

Cubic rank transmuted inverse rayleigh distribution: Properties and applications

Cubic rank transmuted inverse rayleigh distribution: Properties and applications

In this paper, we propose a new lifetime distribution called Cubic Rank Transmuted Inverse Rayleigh as an alternative to the inverse Rayleigh distribution. Some distributional properties of the suggested distribution such as moments, incomplete moments, Bonferroni and Lorenz curves, moment generating function, quantile function, median, mean residual life function are examined. We consider five methods such as maximum likelihood, the least squares, weighted least squares, Anderson Darling method, and Crámer–von-Mises method to estimate the parameters of the proposed distribution. Furthermore, a comprehensive Monte Carlo simulation study is performed to compare the performances of the examined estimators according to mean square errors and biases. Finally, a real data application is given to illustrate the usefulness of the proposed distribution.

Keywords:

Cubic Rank Transmuted Inverse Rayleigh Distribution, Point Estimation; Bonferroni Curve Lorenz Curve, Monte Carlo Simulation,

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Sigma Journal of Engineering and Natural Sciences-Cover

ISSN: 1304-7191
Başlangıç: 1983
Yayıncı: Yıldız Teknik Üniversitesi

Arşiv

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