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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 2

The geometric power half-normal regression model with cure rate

Yolanda M. Gómez
Heleno Bolfarine
Pages
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Publication Date
2018-04-01
DOI
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AI Summary & Key Takeaways

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

The implementation of maximum likelihood estimation for the model parameters is discussed and, nally, the model is fitted to a real database (Melanoma data set), and comparisons are performed with alternatives to the new $S_0(\cdot)$ .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we consider the geometric cure rate model defined in [16], using for $S_0(\cdot)$, the survival function of carcinogenic cells, an extension of the half-normal distribution based on the distribution of the maximum of a random sample.
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Key Findings & Data:In this paper we consider the geometric cure rate model defined in [16], using for $S_0(\cdot)$, the survival function of carcinogenic cells, an extension of the half-normal distribution based on the distribution of the maximum of a random sample.
💡
Conclusion & Impact:The implementation of maximum likelihood estimation for the model parameters is discussed and, nally, the model is fitted to a real database (Melanoma data set), and comparisons are performed with alternatives to the new $S_0(\cdot)$ .
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Cure rate survival model · Half-normal distribution · Maximum likelihood

Abstract

In this paper we consider the geometric cure rate model defined in [16], using for $S_0(\cdot)$, the survival function of carcinogenic cells, an extension of the half-normal distribution based on the distribution of the maximum of a random sample. The implementation of maximum likelihood estimation for the model parameters is discussed and, nally, the model is fitted to a real database (Melanoma data set), and comparisons are performed with alternatives to the new $S_0(\cdot)$ .

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Cite This Article

Gómez, Y. M., Bolfarine, H. (2018). The geometric power half-normal regression model with cure rate. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 2. https://ajindex.com/articles/1402959

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