Research Article

Parameters Estimation for the Unit log-log Distribution

Volume: 44 Number: 1 March 26, 2023
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Parameters Estimation for the Unit log-log Distribution

Abstract

In this paper, point estimation problem of two unknown parameters of the unit log-log distribution is examined. For point estimation, six methods of estimate such as maximum likelihood, maximum product spacing, Anderson-Darling, least squares, weighted least squares, and Cramer-von Mises are examined in detail. Extensive simulation experiments are conducted to compare the effectiveness of these estimators based on bias and mean squared errors. According to the simulation results, it is seen that all estimators performed well in terms of two criteria and take close values in case of large sample. Moreover, practical data applications are performed for all estimators. Results of the Kolmogorov-Smirnov statistics are reported for all estimators in practical applications.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Publication Date

March 26, 2023

Submission Date

September 6, 2022

Acceptance Date

January 11, 2023

Published in Issue

Year 2023 Volume: 44 Number: 1

DOI

https://doi.org/10.17776/csj.1171453

IZ

https://izlik.org/JA27TG42XB

Cite

RIS / Bibtex
APA
Korkmaz, M. Ç., Karakaya, K., Akdoğan, Y., & Ünal, Y. (2023). Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal, 44(1), 224-228. https://doi.org/10.17776/csj.1171453

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Cumhuriyet Science Journal

https://doi.org/10.17776/csj.1316115

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