New Lifetime Regression Model with Application to Prostate Cancer Data

被引：0

作者：

Cordeiro, Gauss M. ^{[1
]}

Ortega, Edwin M. M. ^{[2
]}

Kattan, Michael W. ^{[3
]}

Vila, Roberto ^{[4
]}

Hussein, Mohamed ^{[5
]}

机构：

[1] Univ Fed Pernambuco, Dept Stat, BR-50740550 Recife, PE, Brazil

[2] Univ Sao Paulo, Dept Exact Sci, BR-13418900 Piracicaba, SP, Brazil

[3] Cleveland Clin, Dept Quantitat Hlth Sci, Cleveland, OH 44195 USA

[4] Univ Brasilia, Dept Stat, BR-70910900 Brasilia, DF, Brazil

[5] Alexandria Univ, Dept Math & Comp Sci, Alexandria 21544, Egypt

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 03期

关键词：

censored data; generalized gamma distribution; prostate cancer; regression model; GENERALIZED GAMMA-DISTRIBUTION;

D O I：

10.37256/cm.5320244552

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new five-parameter extended fatigue lifetime model named the Weibull generalized gamma distribution is introduced, which generalizes different distributions widely used in survival and reliability analysis. Different mathematical properties are presented, such as stochastic representation, quantiles, minimum, stochastic orders, closed- form expressions for the expectation, and Kullback-Leibler divergence. We estimate the model parameters by maximum likelihood. A Monte Carlo simulation is performed to study the asymptotic normality of the estimates. Further, we propose an extended regression model based on the logarithm of this distribution with two systematic components suitable for censored data, especially in the oncology area, as shown in the analysis of a prostate cancer dataset.

引用

页码：2724 / 2750

页数：27

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