不同潜在激活方案下的泊松-指数回归模型

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-01-01 DOI:10.1590/S1807-03022012000300010

F. Louzada, V. Cancho, Gladys D. C. Barriga

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引用次数: 2

摘要

本文提出了一类新的生存分布。考虑失效原因的潜在数量服从泊松分布，失效原因的激活时间服从指数分布，推导出失效原因的潜在数量服从泊松分布。还考虑了三种不同的激活方案。此外，我们建议在模型公式中包含协变量，以研究它们对原因数期望值和故障率函数的影响。讨论了基于极大似然法的推理过程，并通过仿真对其进行了评价。开发的方法在卵巢癌的真实数据集上进行了说明。数学学科分类:62N01, 62N99。

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The Poisson-exponential regression model under different latent activation schemes

In this paper, a new family of survival distributions is presented. It is derived by considering that the latent number of failure causes follows a Poisson distribution and the time for these causes to be activated follows an exponential distribution. Three different activationschemes are also considered. Moreover, we propose the inclusion of covariates in the model formulation in order to study their effect on the expected value of the number of causes and on the failure rate function. Inferential procedure based on the maximum likelihood method is discussed and evaluated via simulation. The developed methodology is illustrated on a real data set on ovarian cancer. Mathematical subject classification: 62N01, 62N99.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.