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

Topp-Leone distribution, Maximum likelihood least squares estimation, Weighted least squares estimation, Cramér-von Mises estimation, Anderson-Darling estimation.

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

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

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Abstract

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

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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