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

Öz

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

Cite