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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 75 Issue: 2

The New Garima Distribution: Properties and Applications

Ayşe Metin Karakaş(BITLIS EREN UNIVERSITY)0000-0003-3552-0105
Fatma Bulut(BITLIS EREN UNIVERSITY)0000-0002-7684-6796
Sayfa
—
Yayın Tarihi
2026-02-09
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study introduces the Transmuted Half Logistic Garima (THLG) distribution, a novel and flexible model developed for analyzing lifetime data.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Garima distribution · generalized family · characterizations

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.

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Bu Makaleye Atıf Yap

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, Volume: 75 Issue: 2. https://doi.org/10.31801/cfsuasmas.1642502

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Kaynakça (14)

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