The New Garima Distribution: Properties and Applications
Abstract
This study introduces the Transmuted Half Logistic Garima (THLG) distribution, a novel and flexible model developed for analyzing lifetime data. The THLG distribution extends the Garima distribution by applying the Half Logistic generator to its cumulative distribution function, enhancing its ability to model a wider range of data patterns, including various shapes and hazard rate behaviors. We investigate the statistical properties of the THLG distribution in detail and estimate its parameters using the method of maximum likelihood estimation (MLE). To assess the performance of the proposed estimators, a Monte Carlo simulation study is conducted. Furthermore, the applicability of the THLG distribution is demonstrated through the analysis of three real-world datasets. The findings show that the THLG distribution outperforms several well-known lifetime distributions, highlighting its potential as a robust tool for reliability and survival analysis.
Keywords
Ethical Statement
Since the article does not contain any studies with human or animal subjects, its approval by the ethics committee was not required.
References
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Details
Primary Language
English
Subjects
Statistical Data Science , Applied Statistics , Statistics (Other)
Journal Section
Research Article
Early Pub Date
February 9, 2026
Publication Date
February 9, 2026
Submission Date
February 18, 2025
Acceptance Date
September 19, 2025
Published in Issue
Year 2026 Number: Advanced Online Publication
APA
Karakaş, A. M., & Bulut, F. (2026). The New Garima Distribution: Properties and Applications. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Advanced Online Publication, 1-25. https://doi.org/10.31801/cfsuasmas.1642502
AMA
1.Karakaş AM, Bulut F. The New Garima Distribution: Properties and Applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;(Advanced Online Publication):1-25. doi:10.31801/cfsuasmas.1642502
Chicago
Karakaş, Ayşe Metin, and Fatma Bulut. 2026. “The New Garima Distribution: Properties and Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, no. Advanced Online Publication: 1-25. https://doi.org/10.31801/cfsuasmas.1642502.
EndNote
Karakaş AM, Bulut F (February 1, 2026) The New Garima Distribution: Properties and Applications. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Advanced Online Publication 1–25.
IEEE
[1]A. M. Karakaş and F. Bulut, “The New Garima Distribution: Properties and Applications”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., no. Advanced Online Publication, pp. 1–25, Feb. 2026, doi: 10.31801/cfsuasmas.1642502.
ISNAD
Karakaş, Ayşe Metin - Bulut, Fatma. “The New Garima Distribution: Properties and Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics. Advanced Online Publication (February 1, 2026): 1-25. https://doi.org/10.31801/cfsuasmas.1642502.
JAMA
1.Karakaş AM, Bulut F. The New Garima Distribution: Properties and Applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;:1–25.
MLA
Karakaş, Ayşe Metin, and Fatma Bulut. “The New Garima Distribution: Properties and Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, no. Advanced Online Publication, Feb. 2026, pp. 1-25, doi:10.31801/cfsuasmas.1642502.
Vancouver
1.Ayşe Metin Karakaş, Fatma Bulut. The New Garima Distribution: Properties and Applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Feb. 1;(Advanced Online Publication):1-25. doi:10.31801/cfsuasmas.1642502
