Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution

Lazhar Benkhelıfa

doi:10.17776/csj.1180040

EN

Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution

Abstract

In this paper, we estimate the probability density function and the cumulative distribution function of the Topp-Leone distribution. We use the maximum likelihood estimation, uniformly minimum variance unbiased estimation, least squares estimation, weighted least squares estimation, Cramér-von Mises estimation, Anderson-Darling estimation and method of percentile estimation. The consistency of these methods is illustrated in a simulation study. Finally, a real data set is given to assess the performance of proposed methods.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Lazhar Benkhelıfa ^*
0000-0002-7271-418X
Algeria

Publication Date

September 29, 2023

Submission Date

September 25, 2022

Acceptance Date

September 5, 2023

Published in Issue

Year 2023 Volume: 44 Number: 3

DOI

https://doi.org/10.17776/csj.1180040

IZ

https://izlik.org/JA66SS26EB

Cite

RIS / Bibtex

APA

Benkhelıfa, L. (2023). Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution. Cumhuriyet Science Journal, 44(3), 610-616. https://doi.org/10.17776/csj.1180040

AMA

1.Benkhelıfa L. Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution. CSJ. 2023;44(3):610-616. doi:10.17776/csj.1180040

Chicago

Benkhelıfa, Lazhar. 2023. “Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution”. Cumhuriyet Science Journal 44 (3): 610-16. https://doi.org/10.17776/csj.1180040.

EndNote

Benkhelıfa L (September 1, 2023) Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution. Cumhuriyet Science Journal 44 3 610–616.

IEEE

[1]L. Benkhelıfa, “Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution”, CSJ, vol. 44, no. 3, pp. 610–616, Sept. 2023, doi: 10.17776/csj.1180040.

ISNAD

Benkhelıfa, Lazhar. “Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution”. Cumhuriyet Science Journal 44/3 (September 1, 2023): 610-616. https://doi.org/10.17776/csj.1180040.

JAMA

1.Benkhelıfa L. Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution. CSJ. 2023;44:610–616.

MLA

Benkhelıfa, Lazhar. “Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution”. Cumhuriyet Science Journal, vol. 44, no. 3, Sept. 2023, pp. 610-6, doi:10.17776/csj.1180040.

Vancouver

1.Lazhar Benkhelıfa. Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution. CSJ. 2023 Sep. 1;44(3):610-6. doi:10.17776/csj.1180040