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A Modified Chen Inverse Rayleigh Distribution, Estimation and Application to Survival Data

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The modified chen inverse rayleigh distribution effectively models both monotonic and non-monotonic failure rates.
Results indicate that the CIR model provides the best fit for survival data, with the lowest AIC and BIC values.
Maximum likelihood estimation was utilized to evaluate the model's statistical properties, confirming its robustness.
The model’s performance was validated with real-life survival times of head and neck cancer patients, showcasing its adaptability.

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This research demonstrates a new distribution model for failure rates, improving fit in survival data analysis.

Adams et al. (2025) studied this question.

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