癌症患者生存率的新洛马克斯-瑞利分布分析

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of Applied Mathematics Statistics and Informatics Pub Date : 2023-05-01 DOI:10.2478/jamsi-2023-0002

K. Naga Saritha, G. S. Rao, K. Rosaiah

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引用次数: 1

摘要

摘要提出了一种新的洛马瑞利分布（NLRD），并利用变换变压器（T-X）族发生器生成。研究了NLRD的生成函数、矩、极限形式、分位数函数中值和模等各种结构性质。获得了参数的最大似然估计量，并用模拟数据对模型拟合进行了检验。用两个实时癌症数据集解释了实时数据的模型充分性。与其他现有分布相比，NLRD在估计癌症胆管和癌症头颈部的存活率方面显示出更好的拟合性。

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Survival analysis of cancer patients using a new Lomax Rayleigh distribution

Abstract A new Lomax Rayleigh distribution (NLRD) is proposed and generated using Transformed Transformer (T-X) family generator. Various structural properties like generating functions, moments, limiting form, quantile function median and mode of NLRD are studied. Maximum likelihood estimators (MLEs) of the parameters are obtained and the model fitting is tested with simulated data. Model adequacy with live data is explained with two real-time cancer data sets. The NLRD shows a better fit in the estimation of survival in bile duct cancer and head and neck cancer data than other existing distributions.

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来源期刊

Journal of Applied Mathematics Statistics and Informatics MATHEMATICS, APPLIED-

自引率

0.00%

发文量

审稿时长

20 weeks