Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

The complementary geometric transmuted-G family of distributions: model, properties and application

Pages
1348–1374
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We provide some simulation results to assess the performance of the proposed model.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce a new family of continuous distributions called the complementary geometric transmuted-G family, which extends the transmuted family proposed by Shaw and Buckley (2007).
📊
Key Findings & Data:The importance and exibility of the new family are illustrated by means of two applications to real data sets.
💡
Conclusion & Impact:We provide some simulation results to assess the performance of the proposed model.
🔬Design:Modeling & Simulation
📍Scope:2007 Verileri
⚙️Variables:Domain Parameters

Abstract

We introduce a new family of continuous distributions called the complementary geometric transmuted-G family, which extends the transmuted family proposed by Shaw and Buckley (2007). Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, entropies, order statistics and probability weighted moments are derived. Two special models of the introduced family are discussed in detail. The maximum likelihood method is used for estimating the model parameters. The importance and exibility of the new family are illustrated by means of two applications to real data sets. We provide some simulation results to assess the performance of the proposed model.

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Cite This Article

ALTUN, E., NADARAJAH, S., YOUSOF, H. M., M, G., CORDEİRO, C., NOFAL, Z. M., ÖZEL, G., Afify, A. Z. (2022). The complementary geometric transmuted-G family of distributions: model, properties and application. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1348–1374. https://ajindex.com/articles/529811

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