基于尼尔森分布的新治愈率模型的贝叶斯建模

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Brazilian Journal of Probability and Statistics Pub Date : 2022-12-01 DOI:10.1214/22-bjps557

M. Santos-Neto, Y. Gómez, D. Gallardo, Eliardo G. Costa

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引用次数: 0

摘要

全新摘要。在本文中，我们提出了一个新的基于尼尔森分布的治愈率模型。该模型具有概率生成函数的简单形式，它包括对数分布作为一种特殊情况，并且它是最近在文献中更详细讨论的建议，因此它在治愈模型中的应用非常有吸引力。该模型直接在治愈率中进行参数化，便于与文献中的其他治愈率模型进行比较。该估计是基于贝叶斯范式进行的。我们考虑了一个真实的数据集来说明我们的提案的性能。

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Bayesian modeling for a new cure rate model based on the Nielsen distribution

All new Abstract. In this paper, we proposed a new cure rate model based on the Nielsen distribution. This model has a simple form for the probability generating function, it includes as a particular case the logarithmic distribution and it is a proposal recently discussed in greater detail in the literature, so its application within the context of cure models is very attractive. The model is parameterized directly in the cure rate, facilitating the comparison among other cure rate models in the literature also parameterized in this term. The estimation is approached based on a Bayesian paradigm. A real data set is considered to illustrate the performance of our proposal.

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来源期刊

Brazilian Journal of Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.