An extended exponentiated-G-negative binomial family with threshold effect

Josemar Rodrigues; Gauss M. Cordeiro; Jorge Bazan

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An extended exponentiated-G-negative binomial family with threshold effect

机译：具有阈值效应的扩展的指数G负二项式族

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摘要

In this paper, we formulate a very flexible family of models which unifies most recent lifetime distributions. The main idea is to obtain a cumulative distribution function to transform the baseline distribution with an activation mechanism characterized by a latent threshold variable. The new family has a strong biological interpretation from the competitive risks point of view and the Box-Cox transformation provides an elegant manner to interpret the effect on the baseline distribution to obtain this alternative model. Several structural properties of the new model are investigated. A Bayesian analysis using Markov Chain Monte Carlo procedure is developed to illustrate with a real data the usefulness of the proposed family.

机译：在本文中，我们制定了一个非常灵活的模型系列，该模型统一了最新的寿命分布。主要思想是获得一个累积分布函数，以通过以潜在阈值变量为特征的激活机制来转换基线分布。从竞争风险的角度来看，新家族具有很强的生物学解释，Box-Cox转化提供了一种优雅的方式来解释对基线分布的影响，以获得这种替代模型。研究了新模型的几个结构特性。贝叶斯分析使用马尔可夫链蒙特卡洛方法进行了开发，以用实际数据说明所提出的家族的有用性。

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来源
《Journal of applied statistics》 |2014年第10期|2056-2074|共19页
作者
Josemar Rodrigues; Gauss M. Cordeiro; Jorge Bazan;
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作者单位

Instituto de Ciencias Matematicas e de Computacao, Universidade de Sao Paulo, Sao Carlos-SP, Brazil;

Departamento de Estatistica, CCEN, Universidade Federal de Pemambuco, Recife-PE, Brazil;

Instituto de Ciencias Matematicas e de Computacao, Universidade de Sao Paulo, Sao Carlos-SP, Brazil;

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正文语种 eng
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关键词
Bayesian inference; Box-Cox transformation; competitive risks; contagious models; first hitting time; mathematical properties; stochastic processes;

机译：贝叶斯推理;Box-Cox转换;竞争风险;传染性模型第一击时间;数学性质随机过程;

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An extended exponentiated-G-negative binomial family with threshold effect

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