Cubic rank transmuted inverse rayleigh distribution: Properties and applications

Caner Tanış; Buğra Saraçoğlu

Cubic rank transmuted inverse rayleigh distribution: Properties and applications

Abstract

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

References

The article references can be accessed from the .pdf file.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Caner Tanış ^* This is me
0000-0003-0090-1661
Türkiye

Buğra Saraçoğlu This is me
0000-0003-1713-2862
Türkiye

Publication Date

June 6, 2022

Submission Date

February 15, 2021

Acceptance Date

April 22, 2021

Published in Issue

Year 2022 Volume: 40 Number: 2

IZ

https://izlik.org/JA49PK49LB

Cite

RIS / Bibtex

APA

Tanış, C., & Saraçoğlu, B. (2022). Cubic rank transmuted inverse rayleigh distribution: Properties and applications. Sigma Journal of Engineering and Natural Sciences, 40(2), 421-432. https://izlik.org/JA49PK49LB

AMA

1.Tanış C, Saraçoğlu B. Cubic rank transmuted inverse rayleigh distribution: Properties and applications. SIGMA. 2022;40(2):421-432. https://izlik.org/JA49PK49LB

Chicago

Tanış, Caner, and Buğra Saraçoğlu. 2022. “Cubic Rank Transmuted Inverse Rayleigh Distribution: Properties and Applications”. Sigma Journal of Engineering and Natural Sciences 40 (2): 421-32. https://izlik.org/JA49PK49LB.

EndNote

Tanış C, Saraçoğlu B (June 1, 2022) Cubic rank transmuted inverse rayleigh distribution: Properties and applications. Sigma Journal of Engineering and Natural Sciences 40 2 421–432.

IEEE

[1]C. Tanış and B. Saraçoğlu, “Cubic rank transmuted inverse rayleigh distribution: Properties and applications”, SIGMA, vol. 40, no. 2, pp. 421–432, June 2022, [Online]. Available: https://izlik.org/JA49PK49LB

ISNAD

Tanış, Caner - Saraçoğlu, Buğra. “Cubic Rank Transmuted Inverse Rayleigh Distribution: Properties and Applications”. Sigma Journal of Engineering and Natural Sciences 40/2 (June 1, 2022): 421-432. https://izlik.org/JA49PK49LB.

JAMA

1.Tanış C, Saraçoğlu B. Cubic rank transmuted inverse rayleigh distribution: Properties and applications. SIGMA. 2022;40:421–432.

MLA

Tanış, Caner, and Buğra Saraçoğlu. “Cubic Rank Transmuted Inverse Rayleigh Distribution: Properties and Applications”. Sigma Journal of Engineering and Natural Sciences, vol. 40, no. 2, June 2022, pp. 421-32, https://izlik.org/JA49PK49LB.

Vancouver

1.Caner Tanış, Buğra Saraçoğlu. Cubic rank transmuted inverse rayleigh distribution: Properties and applications. SIGMA [Internet]. 2022 Jun. 1;40(2):421-32. Available from: https://izlik.org/JA49PK49LB